Data Handling Questions

We provide data handling practice exercises, instructions, and a learning material that allows learners to study outside of the classroom. We focus on data handling skills mastery so, below you will get all questions that are also asking in the competition exam beside that classroom.

Data Handling Questions

List of data handling Questions

Question NoQuestionsClass
1The total production during the months
of April, May and June of the three items
( A, B ) and ( C ) are in the ratio:
( A cdot 7: 5: 7 )
B. 7: 4: 4.5
( mathbf{c} cdot 7: 4.5: 4 )
D .4 .5: 6: 5 )
8
2The data on the mode of transport used by 720 students are given below:
Mode of transport Bus Cycle Train Car Scooter
Number of students 120 180 240 80 100
Represent the above data by a pie chart.
8
3LAPITULLUTTAVAA
On throwing a dice once, the probability of occurence of a
composite number is
8
4The following data gives the amount of loans (in crores of rupees) disbursed by a bank during some years:
Year ( begin{array}{lll}1992 & 1993 & 1994 \ 4 & 19999 & 193end{array} )
Loan(in
crores 33
55
of rupees)
With the help of the bar graph, indicate the year in which amount of loan is not increased over that of the preceding
year.
8
5Study the following information carefully and answer the questions
given below.

The sub divided bar diagram given
below depicts the result of Class XII students of a school for three years.
The number of students passed with
second class in the year 2002 is
( A cdot 80 )
в. 130
( c .50 )
D. 10

8
6The following table gives the route length (in thousand kilometres) of the Indian Railways in some of the years:
Year
( begin{array}{lll}1960- & 1970- & 1980-end{array} )
is and 61
Route length (in ( quad ) 56 ( quad ) 60 thousand kilometres)
Represent the above data with the help of a bar graph.
8
7Which of the companies shows the
maximum percentage difference in
sales turnover between the two years?
Sales Turnover of 5 Companies (in Rs
A. Honda
B. GM
c. Hyundai
D. Maruti
8
8Study the bar graph representing the
number of persons in various age
groups in a town shown in above fig.
Observe the bar graph and answer the
following questions:
Whether the population in general
increases, decreases or remains
constant with the increase in the age-
group.
8
960. The average of x numbers is y
and the average of y numbers is
x?. So the average of all the num-
bers taken together is
x3 ty
(1) x + y
(2) xg
x2 + y2
x+
(4) xy2 + yx?
7
10Observe the histogram and answer the questions i
below.
Number of Girls of Class VII —
125 130 135 140 145 150 155 160
Heights in cm →
(1) What information is being given by the histogram?
(ii) Which group contains maximum girls?
(ii) How many girls have a height of 145 cms and more?
(iv) If we divide the girls into the following three categories,
how many would there be in each?
150 cm and more-Group A
140 cm to less than 150 cm-Group B
Less than 140 cm—Group C
Aoroun of 360 neople were asked to vote for their favourite
8
11A selection test was given to a group of 50 students. The test was completed by them in the follow
nts. The test was completed by them in the following times (in minutes)
38, 40, 42, 41. 39, 27, 28, 26, 30, 42, 41, 43, 45, 46, 37, 37, 43, 44, 49, 36, 31, 32, 33, 35, 48, 43, 49, 36, 49,4
36, 37, 38, 40, 39, 41, 42, 45, 47, 48, 45, 39, 38, 37, 40, 29.
Prepare a grouped frequency table taking class intervals 25 – 30,30 – 35 etc.
8
12The adjoining bar graph shows the numbers of book sold by a bookstore during 5 consecutive years. Read the bar graph and answer the following
question:

About how many books were sold in
2008,2009 and 2011 years?

8
13The bar graph shown in above figure represents the circulation of
newspapers in 10 languages.
study the bar graph and answer the
following question:
Find the excess of the number of
newspapers published in English over
those published in Urdu.
8
14Out of every Rs. 10,000 spent during the
decade ( 2001-2010 ) approximately how much was the GDP of Russia during the
half decade ( 2001-2005 ? )
GDP of Various Countries
A. Rs. 700
B. Rs. 1,400
c. Rs. 2,800
D. None of these
8
15Q Type your question
the following information carefully and
answer the questions given below. The sub divided bar diagram given below depicts the result of Class XII students of a school for three years.
The number of students passed with
second class in 2000 is what percent of
number of students passed with first
class in 2002?
A. 50%
B. 62.5%
c. ( 45 % )
D. 70.5
8
16Read the above bar graph and answer
the following question

Which state is the largest producer of
wheat?

8
17The incomplete graph shows Dinesh’s
savings from January to April. Dinesh
saved a total of Rs. 730 during the four
months. The amount of money saved in
February was as much as that saved in
March. How much did he save in March?
A . Rs.245
B. Rs.275
c. Rs.250
D. Rs.295
8
18The number of cars sold of a company in different months
in a city are given below:
Months Jan April June Aug Sep Dee
No. of cars sold 200 500 250 300 400 450
Represent the above information by a pictograph.
11
8
196.
Represent the following data by a pie-diagram
Expenditure
Items
Family A Family B
Food
| 4000
6400
Clothing
2500
4800
Rent
1500
3200
Education
400
1000
Miscellaneous
1600
600
Total
10,000
16000
8
202.
Column-I
Column-II
(A) Raw data can be presented (p) circle graph
through
(B) Histogram is a type of (q) class – interval
(C) Data can also presented using (r) observation
(D) A group into which the raw
grouped data
frequency data is candensed
is called as distribution
(E) Each numerical figure in (t) Bar diagram
a data is called an
8
21The following table shows the interest paid by a company (in lakhs):
1996- ( quad 1997 ) Year
Interest
in lakhs
25
of
rupee
Draw the bar graph to represent the above information.
8
22What is the average sales of all the
branches (in thousand numbers) for the
year ( 2000 ? )
A . 73
B. 80
( c cdot 83 )
D. 88
8
23avui giapil Imusliale Il.
The number of hours for which students of a particular
class watched television during holidays is shown through
the given graph.
Answer the following.
(1) For how many hours did the maximum number of
students watch TV?
How many students watched TV for less than 4 hours?
(iii) How many students spent more than 5 hours in
watching TV?
Number of students →
1 2 3 4 5 6 7
Hours of TV watched per day →
8
243.
Druwa vai gi apie IUI We dove data.
Study the bar graph and answer the following questions:
120
110+
Number of families →
VA
1 2 3 4 5 6 7 5 9 10
Number of members per family-
Bar graph of the number of families with different
number of members per family in a locality
(1) What information is given by the bar graph?
(ii) How many number of families having 4 members?
(ii) How many members per family are there in the maximum
number of families?
8
25number is the same as that or getting an vuu numo
In a pie chart two or more central angles can be equal.
1 .
timo Not in
8
265.
Represent the following data in tabular form:
Dance
90°
Drama
90°
Debatel 27°
N.C.C
chl 18°540
810
Speech Sc.Club
Total students = 80
8
27An experiment whose outcomes cannot be predicted
exactly in advance is called a
experiment.
τα τα
.
.
1
1.1
tomes are
8
28Study the bar graph representing the
number of persons in various age
groups in a town shown in Fig. 23.9
Observe the bar graph and answer the
following questions:

What is the percentage of the youngest
age-group persons over those in the oldest age group? If the answer is ( 466 frac{a}{3} )
What is the value of ‘a’?

8
29Choose the correct answer from the
alternatives given:
Directions for questions 71 to 75 :
Study the following graph carefully and
answer the questions given below.

What is the average number of tyres of
type A manufactured over the years?
( A cdot 23 ) lakhs
B. 2.3 lakhs
c. 30 lakhs
D. 22 lakhs

8
30The following table shows the interest paid by a company (in lakhs):
1995- ( quad 1996-quad 1997- )
Year ( quad 96 )
Interest
in lakes 20
25
of rupees)
Draw the bar graph to represent the above information.
8
31The bar graph as shown in above fig. represents the circulation of
newspapers in 10 languages.
study the bar graph and answer the
following question:

What percent is the number of news
papers published in Hindi of the tota
number of newspapers?

8
32f the percentage production of ( P ) type cars in 2001 was the same as that in
( 2000, ) then the number of ( P ) type cars
produced in 2001 would have been?
A ( cdot 1,40,000 )
В. 1,32,000
( c cdot 1,17,000 )
D . 1,05,000
8
33Construct a frequency distribution table for the following
weights (in grams) of 35 mangoes, using the equal class
intervals, one of them is 40-45 (45 not included).
30, 40, 45, 32, 43,50,55,62,70,70,61, 62,53,52,50, 42,35,37,
53, 55, 65, 70, 73, 74, 45, 46, 58, 59, 60, 62,74,34, 35, 70,68.
@ How many classes are there in the frequency
distribution table?
(i) Which weight group has the highest frequency?
8
34The circle graph represents a total of 240 animals. The
shaded area represents the number of monkeys. How many
of the animals are monkeys?
Monkeys
330°
8
35Directions (72-75) : The follow-
ing pie-chart shows the marks scored
by a student in different subjects – viz.
Physics (Ph). Chemistry (Ch), Mathe-
matics (M), Social Science (SS) and
English (E) in an examination. Assum-
ing that total marks obtained for the
examination is 810, answer the ques-
tions given below.
SS
90°
55°
60°
E
70°
Ch
Ph
72. The difference of marks between
Physics and Chemistry is same
as that between
(1) Chemistry and Social Science
(2) Physics and English
(3) Mathematics and English
(4) English and Social Science
othemat-
8
3652.
The average of the first fifteen
natural numbers which leave a
remainder 1 when divided by 5 is
(1) 40
(2) 41
(3) 39
(4) 42
7
37раппоспат апрс пн арс опис по пп.
Histogram is a bar graph with no ….. between the bars.
11antinn af automes in an eyneriment
8
388.
… 9
In toss of a coin, all possible outcomes are head and tail.
. In a histogram for each class a rectangle is constructed
3
8
39What is the percentage increase in the
production of Company Y from 1996 to
( 1999 ? )
( A cdot 30 % )
B. ( 45 % )
( c cdot 50 % )
D. 60%
8
40The given bar graph shows the number
of matches played by different teams.
Read the bar graph and answer the
questions
How many matches did both India and
Bangladesh play?
( A cdot 34 )
B . 22
( c .38 )
D. 40
8
4166. The mean of 50 numbers is 30.
Later it was discoverd that two
entries were wrongly entered as
82 and 13 instead of 28 and 31.
Find the correct mean.
(1) 36.12 (2) 30.66
(3) 29.28 (4) 38.21
7
42In which subject he scored minimum
marks?
A . Hindi
B. English
C. Science
D. Social studies
8
43State whether true or false.
The maximum number of tickets sold is
three times the minimum number of
tickets sold.
lotteries sold by an agent on a day
( 4 . ) True
B. False
8
44Which year exhibited the highest
growth in FDI in India over the period
shown?
Trends of FDI in India
( mathbf{A} cdot 1993 )
B. 1994
( c cdot 1995 )
D. 1996
8
45caauty mauvanvors vaillud
When a dice is rolled, the six possible outcomes are
in tancad is
8
46Study the bar graph representing the
number of persons in various age
groups in a town shown in Fig.23.9.
Observe the bar graph and answer the
following questions:
What is the total population of the
town?
8
47Study the following graph carefully and
answer the question given. In which of the following pairs of companies the difference between
average productions for the three years is maximum?
A. E and
B. D and C
( c ). E and ( c )
D. A and E
8
48The following data give the amount of loans (in crores of rupees) disbursed by a bank during some years:
Year 1992 ( quad 1993 quad 1994 quad 1995 )
Loan
(in
crores ( 28 quad 33 quad 55 ) of
upee
Represent the above data with the help of a bar graph.
8
49The following data gives the amount of manure (in thousand tonnes)
manufactured by a company during
some years:
Year ( begin{array}{ll}text { 1992 } & text { 1993 } quad 1994 \ end{array} )
Manure
in thousand tonnes
Indicate with the help of the bar graph
the year in which the amount of manure manufactured by the company was maximum.
8
5017.
shows 2
In a dice, the one face shows 4, then its opposite face
shows 2.
fanin oll nogihle outcomes are head and tail.
n toss of
8
51Read the bar graph shown in Fig. 23.10
and answer the following question:
State whether true or false:

The number of commercial banks in
1983 is less than double the number of
commercial banks in 1969
A. True
B. False

8
52CUOLALAN
10. An experiment whose outcome is sure is called a certain
experiment
8
53Study the bar graph representing the number of persons in various age
groups in a town shown in above fig.
Observe the bar graph and answer the
following questions:
What is the total number of persons
living in the town in the age-groups 50
( 55 ? )
8
54If India FDI from OPEC countries was
proportionately the same in 1992 and
1997 as the total FDI from all over the
world and if the FDI in 1992 from the
OPEC countries was Euro 2 million.
What was the amount of FDI from the
OPEC countries in ( 1997 ? )
Trends of FDI in India
A . 1
в. 10.72
( c cdot 11.28 )
D. 11.
8
5561. The mean of 20 items is 55. If
two items 45 and 30 are removed,
the new mean of the remaining
items is
(1) 65.1
(2) 65.3
(3) 56.9 (4) 56
7
56What is the difference between the
production of Company ( Z ) in 1998 and
Company Y in ( 1996 ? )
A. 2,00,000 tons
B. 20,00,000 tons
c. 20,000 tons
D. 2,00,00,000 tons
8
57The given bar graph shows the favourite breakfast items of the students of Class
V. Read the bar graph and answer the
questions

Which two breakfast items are equally
liked by the students?
A. Cornflakes & milk, Sandwich
B. Paratha, Boiled egg
c. Paratha, Toast & butter
D. Boiled egg, sandwich

8
58In which year was the percentage increase in production as compared to the previous year the maximum?
enlizer
A . 2002
B. 2001
( c cdot 1997 )
D. 1996
8
5960. If the mean of 4 observations
is 20, when a constant ‘C’ is
added to each observation, the
mean becomes 22. The value
of C is :
(1) 6
(2) -2
(3) 2
(4) 4
7
60Study the bar graph representing the
number of persons in various age
groups in a town shown in Fig. Observe
the bar graph and answer the following
questions:
What is the total number of persons
living in the town in the age-group 50
( 55 ? )
8
61the given statements is true or false.
(P) ( C ) recycled more newspapers than ( D )
(Q) ( mathrm{B} ) recycled 80 bunches of newspaper
more than ( mathbf{A} )
(R) In all 5 hundred bunches of
newspaper were recycled.
(S) The ascending order of the
newspaper recycled by schools is ( mathrm{D}, mathrm{C} )
( A, B, E )
( begin{array}{llll}text { (P) } & text { (Q) } & text { (R) } & text { (S) }end{array} )
A. True True False False
B. True True False True
c. False True False True
D. False False True True
8
62The bar graph shows the amount of
money donated by 4 classes to a charity
How much more money must Class ( 4 P )
donate so that their amount is the
same as that of class ( 4 S ? )
A. Rs. 20
B. Rs.60
c. Rs. 40
D. Rs.100
8
63What is the percentage change in the
overall sales turnover of the five
companies together between 2001
2002 and 2002 – 2003?
A . 17.21%
B. 14.68%
c. 12.67%
D. 21.24%
8
641.
Define the equally likely events.
8
6510. An operation which can produce some well defined
outcomes is called an …
8
66Each outcome or a collection of outcomes in an experiment
makes an
8
673.
Form a discrete frequency distribution from the following scores:
15, 18, 16, 20, 25, 24, 25, 20, 16, 15, 18, 18, 16, 24, 15, 20, 28, 30, 27, 16, 24, 25, 20, 18, 28, 27, 25, 24, 24, 18, 18, 25, 2016
15, 20, 27, 28, 29, 16.
8
68Given above is the bar graph indicating
the marks obtained out of 50 in
mathematics paper by 100 students.
Read the bar and answer the following
questions:
What is the number of students
belonging to the highest mark group?
8
69720
The following histogram depicts the marks obtained by 45 students of a class:
Number of studnets->
0 10 20 30 40 50 60 70 80
Marks
Look at the histogram and answer the following questions:
(i) What is the class size?
(ii) How many students obtained less than 10 marks?
(iii) How many students obtained 30 or more marks but less than 40?
(iv) What is the interval of highest marks and how many students are there in this interval?
(v) If passing marks are 30, what is the number of failures?
n in 10 20 0 20 70 80 So class size = 10.
8
70The shoppers who come to a departmental store are marked
as: man (M), woman (W), boy (B) or girl (G). The following
list gives the shoppers who came during the first hour in
the morning
WWWGBWWMGGMMWWWWGBMWBGG
MWWMMWW
WMWB WGMWWWWGWMMWWMWGW
MGWMMBGGW
Make a frequency distribution table using tally marks. Draw
a bar graph to illustrate it.
8
71Choose the correct answer from the
alternatives given.
Directions for questions 71 to 75 : Study
the following bar-graph and answer the
questions What is the ratio of highest
consumption in the year 2012 and 2013
respectively?
A . 7: 6
B. 6: 7
( c cdot 7: 2 )
D. 14: 1
8
7210.
Mathematics
Find the probability that a number selected at random from the numbers 11
selected at random from the numbers 1 to 25 is not a prime number when each of
the given number is equally likely to be selected. Also find the probability of not get
Also find the probability of not getting a prime number.
8
732.
Give two example of a random experiment.
8
7460. Mean of 10 numbers is 30. Later
on it was observed that numbers
15, 23 are wrongly taken as 51,
32. The correct mean is
(1) 25.5 (2) 32
(3) 30 (4) 34.5
7
759.
Tally marks are used to find ……..
en which can produce some
8
76How much is the total saving of Saroj in the months March and April?8
77From the bar graph What is total no. of
students in class VIII?
A . 45
B. 185
c. 215
D. 245
8
78The expenditure (in 10 crores of rupees) on health by the Government of India during the various five year plans is shown below:
Plans:
( I I quad I I I )
Expenditure on health in 10 crores 23
of rupees
Construct a bar graph to represent the
above data.
8
79Choose the correct answer from the
alternatives given. Directions for questions 71 to 75: Study the following bar-graph and answer the
questions.

The total units consumption in the year
2013 during these 5 months, in respect
of the same in the previous year has
been
A. decreased by 2.27%
B. increased by 4.50%
c. increased by ( 2.27 % )
D. increased by 2.22

8
80The following data gives the amount of loans (in crores of rupees) disbursed by a bank during some years:
Year ( begin{array}{lll}1992 & 1993 & 1994 \ 4end{array} )
Loanfin crores 28 33 of rupees
Represent the above data with the help of a bar graph.
8
81Study the following graph carefully and answer the question given. The total number of all the three types of
tyres manufactured was the least in which of the following years?
A . 1995
B. 1996
( c .1992 )
D. 1994
8
82O on PC
13.
The following pie chart represents the distribution of
proteins in parts of a human body. What is the ratio of
distribution of proteins in the muscles to that of proteins in
the bones?
Muscles
Ski
Harmones
Enzymes
and
other
proteins
Bones
8
83The two years between which the rate of
change of cellular phones is minimum
are?
A . 1997 and 1998
B. 1999 and 2000
c. Both option (A) and (B)
D. 2001 and 2002
8
8453. The average income of 40 per-
sons is Rs. 4200 and that of an-
other 35 persons is Rs. 4000. The
average income of the whole
group is :
(1) Rs. 4100 (2) Rs. 4106
(3) Rs. 4106214) Rs. 4108
7
85Choose the correct answer from the
alternatives given:

Directions for questions 71 to 75: The
graph shows the production of wheat in different years of a particular State
The year in which the production
reached maximum is
( mathbf{A} cdot 1995 )
B. 1997
( mathbf{c} .1999 )
D. 2000

8
86Study the bar graph representing the
number of persons in various age
groups in a town shown in the above fig.
Observe the bar graph and answer the
following questions:

What is the number of persons in the
age-group ( 60-65 ? )

8
87The given bar graph shows the demand and production of colour T.Vs of five companies. What is the difference between average
demand and average production of the
five companies taken together?
A. 1400
в. 400
( c cdot 280 )
D. 138
8
88Given above is the bar graph indicating
the marks obtained out of 50 in
mathematics paper by 100 students.
Read the bar and answer the following
questions:
What is the number of students getting
less than 20 marks?
8
89How many teachers are more than 35
years old?
( A ldots )
B. 5
( c cdot 10 )
D. 2
8
909.
The following Table shows the total power shortage in India
from 1991-1997. Show the data in the form of a graph. Plot
shortage percentage for the years on the Y-axis and the
year on the X-axis.
S. No. Year Shortage (%)
1991
1992
1993
1994
1995
79
78
7.4
1996
1997
6
91Read the bar graph as given in above
figure and answer the following
questions:
Which Doordarshan centres are in U.P.
State? What are the areas covered by
them?
Bar of
8
9267. A girl was asked to multiply a
number by instead she di
vided the number by and
got the result 15 more than
the correct result. The sum of
the digits of the number was
(1) 4
(3) 6
(2) 8
(4) 11
7
93What is the percentage increase in the
number of students in 2002 over 2000?
Number of students who qualified CATIXAT/CET Fxams
A . 30%
B. 17.64%
c. ( 117.6 % )
D. 85%
8
94In a hypothetical sample of 20 people, the amount of money
in thousands of rupees) with each was found to be as
follows:
114, 108, 100,98, 101, 109, 117, 119, 126, 131, 136, 143, 156,
169, 182, 195, 207,219, 235, 118.
Draw a histogram of the frequency distribution, taking one
of the class intervals as 50 -100.
8
95Read the bar graph shown in given fig. and answer the following questions
How many tickets of Assam State
Lottery were sold by the agent?
Bar graph of the tickets of different state lotteries sold by an agent on a day.
8
96Given below (Fig. 23.11) is the bar graph
indicating the marks obtained out of 50
in mathematics paper by 100 students.
Read the bar and answer the following
questions:
Every student belonging to the highest mark group is entitled to get prize of Rs
10. How much amount of money is
required for distributing the prize
money?
8
97Sita practiced piano for 2 hrs everyday during the month of January. How many hrs did she practice in January? (Use bar model for solving the sum)8
9873. From the sine table, given be-
low :
0 6 12 18 24 30 364
55° 1.8192.8202 .8211.8221.8231.8241.8251|
Mean Difference
, 3 ,
, 5 ,
,
L
LIT 2
4 , 5
2 , 3
7 , 8
The value of sin 55°25′ is :
(1) 0.8215 (2) 0.8233
(3) 0.8216 (4) 0.8218
7
993.
Draw a pie-chart of the data given below.
The time spent by a child during a day.
Sleep – 8 hours
School – 6 hours
Home work – 4 hours
Play – 4 hours
Others – 2 hours
8
100Column-I
Column-II
(A) Sum of all central angles in
nt
(B) Chance of being Friday (q) 1
tomorrow, if today is Saturday
(© Probability of getting 2 when (1) No
a die is thorwn
(D) Probability of getting 9 when () 360°
a die is thrown
(E) Probability that a number less (t) 0
than 7 will apppear on the top if
a die is thrown
8
1018.
The distribution of weights (in kg) of 50 students in a class is as following:
Weight 35 – 38 38 – 41 41 – 44 44 – 47 47 – 50
No. of students 3 13 19 10 5
(a) Find the lower limit of the class 44-47.
(b) Find the upper limit of the class 38-41.
(c) Find the size of the class intervals.
(d) How many students weight less than 41 kg ?
(e) How many students weight less than 47 kg?
(Find the mid value of the class intervals 41 – 44 and 47 – 50.
8
102The number of books issued from a
library in five days is given below. Represent the information in the form of
a bar graph
8
1036.
A dice has 6 faces.
8
10466. Among three numbers, the first
is twice the second and thrice the
third. If the average of the three
numbers is 49.5, then the diſ-
ference between the first and the
third number is
(1) 54 (2) 28
(3) 39.5 (4) 41.5
7
105The bar graph as shown in above fig. represents the circulation of
newspapers in 10 languages.
study the bar graph and answer the
following question:
What is the total number of newspapers
published in Hindi, English,Urdu, Punjabi and Bengali?
8
1061.
The pie chart shows the number of participants from four
schools A, B, C and D taking part in a tennis tournament.
Given that there are 12 participants from school D. Find the
number of participants from school C.
y to
8
1071.
The given a
The given data is the marks obtained by 25 students in a class test
29, 31, 41, 53, 61. 64.70.56.28 88_53. 56. 31. 53, 64, 56, 32, 53, 56, 61, 53, 74. 33. Find
(i) the maximum marks obtained
(ii) the minimum marks obtained
(iii) the range
(iv) the mean marks
dar ure met the marks as
Sol Arron gi
8
10864. If out of 10 selected students
for an examination, 3 were of
20 years, age, 4 of 21 and 3 of
22 years, the average age of the
group is
(1) 22 years (2) 21 years
(3) 21.5 years (4) 20 years
7
109(1) T
OO
Given below is a frequency distribution table. Read it and
answer the questions that follow:
Class Interval Frequency
10 – 20
5
20 – 30
10
30 – 40
40 – 50
15
50-60
12
4
1) What is the lower limit of the second class interval?
(i) What is the upper limit of the last class interval?
(i) What is the frequency of the third class?
(iv) Which interval has a frequency of 10?
(v) Which interval has the lowest frequency?
(vi) What is the class size?
la
8
110The ratio between the difference
between the highest and the lowest of
the surplus countries to the difference
between Bangladesh and Oman is?
A. 3.44
B. 2.96
( c cdot 4.5 )
D. 3.83
8
111From 2011 to ( 2016, ) find the difference
between the total number of people who
preferred to play Basketball and Badminton (in millions)?
(Preferences of people in playing different games over the years.
A . 525
В. 275
( c .730 )
D. 250
8
112The foreign exchange reserves in 1997
98 was how many times that in 1994
( 95 ? )
A. 0.7
B. 1.
( c cdot 1.4 )
D. 1.5
8
1131.
How will you proceed to draw a Histogram?
8
1141.
For the development of basic infrastructure in a district, a
project of 108 crore approved by Development Bank is as
follows:
Item Head Road Electricity Drinking Sewerage
Water
Amount in 43.2 16.2 27.00 21.6
crore (*)
Draw a pie chart for this data.
iad ant to find the favourite beverage
8
115sem in the following times in minute
(10) Mean marks =
number of observations = 25) =55
A selection test was given to a group of 50 students. The test was completed by them in the following times (in
30, 40, 42, 41, 39, 27, 28, 26, 30, 42.41. 43, 45, 46, 37, 37, 43, 44, 49, 36, 31, 32, 33, 35, 48, 43, 49, 36, 29, 31.37.2
36, 37, 38, 40, 39, 41, 42, 45, 47, 48, 45, 39, 38, 37, 40, 29.
rrepare a grouped frequency table taking class intervals 25-30, 30-35 etc.
29.31,32,34,44,
8
116Read the bar graph shown in Fig. and
answer the following questions:
What is the information given by the bar
graph?
Bar graph of the number of commercial banks in India during some years.
8
1173.
Sum of central angles in a pie chart is …..
8
1185.
What is the difference between Bar graph and Histogram?
In a survey 240 narents of a middle school were asked
8
119Choose the correct answer from the
alternatives given.
Study the graph and answer the
questions

In case of which soft drink was he
average annual sale maximum during
the period ( 1988-1993 ? )
A. Pep-up only
B. Pep-up and Dew-drop
c. cool-sip only
D. Cool-sip and Pep-up

8
120In what ways is the bar graph better
than pictography.
8
121Read the following bar graph (Fig. 23.12)
and answer the following questions:
State each of the following whether true
or false

The number of government companies
have decreased over the year 1957 to
1983
A. True
3 Fals

8
122Out of the total number of student who
opted for the given three subject, in the
year ( 2009,38 % ) were girls. How many
boys opted for mathematics in the
same year?
( mathbf{7} )
( mathbf{M}_{mathbf{a}} )
( mathbf{A} cdot 1322 )
B. 1332
( mathbf{c} cdot 1312 )
D. Cannot be determined
E. None of these
8
123Given above fig. is the bar graph
indicating the marks obtained out of 50 in mathematics paper by 100 students.
Read the bar graph and answer the
following question:
t is decided to distribute work books on
mathematics to the students obtaining
less then 20 marks, giving one
workbook to each of such students. If a
work book costs Rs.5, what sum is
required to buy the work books?
8
124Read the following bar graph and answer the following question:
Which state is the largest producer of
rice?
8
125The average of the total deficit of the middle five deficit is closest to the
deficit of which country?
A . Korea
B. South Africa
( c cdot ) UAE
D. None of these
8
126In a study of number of accidents per day, the observations
for 30 days were obtained as follows:
4,3,5,6,4,3,2,5, 4, 2, 6,2,1,2,2
0,5,4,6,1,3,0,5,3,6, 1,5,5, 2,6.
Prepare a frequency table.
8
127Read the bar graph given in above fig.
and answer the following questions:
What was the expenditure on health
and family planning in the year 1982
( 83 ?(text { in crores }) )
Bar graph of the ex health and family planning during the Sixth Five Year Plan in India
8
128Given the marks scored by Rita’s out of ( 100, ) in five subjects in a particular
test.
( begin{array}{ll}text { Subject } & text { Marks } \ text { English } & text { 78 } \ text { Hindi } & text { 72 } \ text { Maths } & text { 96 } \ text { Science } & text { 88 } \ text { s.st } & text { 80 }end{array} ) Can we draw the bar graph for above
data?
If yes enter 1 else 0
8
129The frequency distribution of weights (in kg) of 40 persons
of a locality is given below:
Weights 40 – 45 45-50 50-55 55-60 60-65
(in kg)
Frequency 4 12 13 6
(1) What is the upper limit of the fourth class interval?
(i) Find the class marks of all the classes.
(mi) What is the class size of each class interval?
(iv) Which class interval has the highest frequency?
8
13068. The average age of 45 persons
is decreased by year when
one of them having 60 years
is replaced by a new comer.
Then the age of the new com-
er is :
(1) 45 years (2) 55 years
(3) 59 years (4) 49 years
7
131Study the bar graph representing the number of persons in various age
groups in a town shown in Fig. 23.9
Observe the bar graph and answer the
following questions:
What is the total number of persons
living in the town in the age-groups 10
15 and ( 60-65 ? )
8
132The production of saleable steel in some of the steel plants of our country during 1999 is given below:

Plant ( quad ) Bhilai ( quad ) Durgapur ( quad ) Rourkel
Production
In thousand tonnes
Construct a bar graph to represent the above data on a graph paper by using the scale 1 big divisions ( =20 ) thousand
tonnes.

8
133The following data gives the number (in thousands) of applicants registered with an Employment Exchange during.
[
1995-2000
]
year 1995 ( quad 1996 quad ) 1997
Number of applicants registered
20
24
in thousands
Construct a bar graph to represent the above data.
8
134The production of saleable steel in some of the steel plants of our country during 1999 is given below:

Plant ( quad ) Bhilai Durgapur ( quad ) Rourke
Production
In thousand tonnes
Construct a bar graph to represent the above data on a graph paper by using the scale 1 big division = 20 thousand
tonnes.

8
13557. A student finds the average of
10, 2-digit numbers. If the dig-
its of one of the numbers is in-
terchanged, the average increas-
es by 3.6. The difference be-
tween the digits of the 2-digit
numbers is
(1) 4
(2) 3
(3) 2
(4) 5
7
1361.
Name the three types of graphs to represent the statistical
data.
8
137Choose the correct answer from the
alternatives given :

Directions for questions 71 to 75: The
graph shows the production of wheat in different years of a particular State
The year which had the percentage of
decrease vis-a-vis its previous year
in production
A. ( 1996-1997 )
B. ( 1995-1996 )
c. ( 1999-2000 )
D. ( 2000-2001 )

8
138A survey was carried out to find the favourite beverage
preferred by a certain group of young people. The following
pie chart shows the findings of this survey
From this pie chart answer the following:
0 Which type of beverage is liked by the maximum
number of people.
) If45 people like tea, how many people were surveyed?
Nothing
5%
Milk
Cald drinks
4096
Tea
1596/
Coffee
3096
8
139The given graph shows the number of
toy cars some children have. Who has
thrice as many toy cars as the total
number of toy cars Samay and Kiara have?
A. Trishu
B. Kiara
c. Pratik
D. samay
8
140The following table gives the route length (in thousand kilometres) of the Indian Railways in some of the years:
Year
( begin{array}{lll}1960- & 1970- & 1980-end{array} )
is and 61
Route length (in ( quad ) 56 ( quad ) 60 thousand kilometres)
Represent the above data with the help of a bar graph.
8
141What was the percentage increase in
production of fertilizers in 2002
compared to that in ( 1995 ? )
enlilizers b
A . 320%
B. 300%
c. 220%
D . 200%
8
142The following data gives the amount of loans (in crores of rupees) disbursed by
a bank during some years:
Year ( begin{array}{lll}1992 & 1993 & 1994 \ 4 & 19999end{array} )
Loan
in
crores 28
55
of rupees
Represent the above data with the help of a bar graph.
8
143Read the bar graph given in fig. and
answer the following questions:
In which year is the increase in
expenditure maximum over the
expenditure in previous year? What is
the maximum increase?
Bar graph of the expend health and family planning during the Sixth Five Year Plan in India
8
1449.
In a histogram, for each class a rectangle is constructed
with base as size of the class.
8
14557.
The average run of a player is 32
out of 10 innings. How many
runs must he make in the next
innings so as to increase his av-
erage by 6?
(1) 38
(2) 40
(3) 6
(4) 98
7
146Read the bar graph shown in given fig. and answer the following questions
Of which state were the minimum
number of tickets sold?
Bar graph of the tickets of different state lotteries sold by an agent on a day.
8
147Study the bar graph representing the
number of persons in various age
groups in a town shown in Fig.. Observe
the bar graph and answer the following
questions:

What is the age-group of exactly 1200
persons living in the town?

8
1482.
Difference between upper limit and lower limit of a class is
called class….
8
149Study the following graph carefully and
answer the question given What was the difference between the
number of B type tyres manufactured in
( mathbf{1 9 9 4} ) and ( mathbf{1 9 9 5} ? )
A .1,00,000
B. 20,00,000
c. 10,00,000
D. 12,50,000
8
150The total number of outcomes when a coin is tossed is8
151Given below (Fig. 23.11) is the bar graph
indicating the marks obtained out of 50
in mathematics paper by 100 students.
Read the bar and answer the following
questions:
What is the number of students getting
marks between 9 and ( 40 ? )
8
15253.
The average of nine numbers is
50. The average of the first five
numbers is 54 and that of the
last three numbers is 52. Then
the sixth number is
(1) 30
(2) 34
(3) 24
(4) 44
7
153Study the bar graph representing the
number of persons in various age groups in a town shown in Fig. Observe the bar graph and answer the following
questions:
Whether the population in general increases, decreases or remains
constant with the increase in the age-
group
8
154The following bar graph (Fig. 23.14) represents the heights (in ( mathrm{cm} ) ) of 50
students of Class XI of a particular
school. Study the graph and answer the following questions:
State whether true or false:
The number of students in the class
having their heights less than ( 150 mathrm{cm} ) is
12.
A. True
B. False
8
1554.
For the following frequency distribution, draw a histogram.
Class-interval
Frequency
0-5 I 2
5 – 10
10-15
15 – 20
10
20 – 25
8
25 – 30
18
What is the diffarance between Barranhand Histogram?
8
156The adjoining pie chart gives the marks scored in an
examination by a student in Hindi, English, Mathematics,
Social Science and Science. If the total marks obtained by
the students were 540, answer the following questions.
(1) In which subject did the student score 105 marks?
(Hint: for 540 marks, the central angle =360°.
So, for 105 marks, what is the central angle?)
(ii) How many more marks were obtained by the student
in Mathematics than in Hindi?
(ii) Examine whether the sum of the marks obtained in
Social Science and Mathematics is more than that in
Science and Hindi.
(Hint: Just study the central angles).
S.Science
Mathematics
9001
800
Science
English
Hindi
in nhort gives the eynenditure (in nercentage)
8
1574.
During the medical check-up of 35 students of a class, their
weights were recorded as follows:
Weight (in kg) Number of students
Less than 38
Less than 40
Less than 42
Less than 44
Less than 46
14
Less than 48
Less than 50
Less than 52
Give a frequency table for this data.
28
32
35
8
158Study the graph carefully and answer
the question given below it.

In which year did the import register
highest increase over its preceding year
A .1973
В. 1974
( c .1975 )
D. 1978

8
159Hindi
Adjoining pie chart gives the expenditure (in percentage)
on various items and savings of a family during a month.
(1) On which item, the expenditure was maximum?
(i) Expenditure on which item is equal to the total savings
of the family?
(i) Ifthe monthly savings of the family is *3000, what is
the monthly expenditure on clothes?
House rent Education for
10%
children
Transport
15%
5%
Food
25%
Others
20%
Savings
15%
Clothes
10%
8
160The following data shows the average age of men in various countries in a
certain year:

Country India Nepal China
Average age ( operatorname{lin} ) 52 ( quad ) 60 years)
Represent the above information by a
bar graph.

8
1610.3
9. Represent the following frequency distribution by a histogram.
Class Intervals 0 -10 10-20 20 – 30 30 – 40 40 – 50
Frequency ( 6 12 188 4
Sol. Scaling the x-axis as 1 cm – 10 od 1
8

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