NCERT Exemplar Solutions
Class 7 - Mathematics - Unit 3: Data Handling
Multiple Choice Questions

In Questions 1 to 16, there are four options, out of which only one is correct. Write the correct answer.

Question.  1

Let x, y, z be three observations. The mean of these observations is

(a)

\(\dfrac{x \times y \times z}{3}\)

(b)

\(\dfrac{x+y+z}{3}\)

(c)

\(\dfrac{x-y-z}{3}\)

(d)

\(\dfrac{x \times y + z}{3}\)

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Question.  2

The number of trees in different parks of a city are 33, 38, 48, 33, 34, 34, 33 and 24. The mode of this data is

(a)

24

(b)

34

(c)

33

(d)

48

Open

Question.  3

Which measures of central tendency get affected if the extreme observations on both the ends of a data arranged in descending order are removed?

(a)

Mean and mode

(b)

Mean and Median

(c)

Mode and Median

(d)

Mean, Median and Mode

Open

Question.  4

The range of the data: 21, 6, 17, 18, 12, 8, 4, 13 is

(a)

17

(b)

12

(c)

8

(d)

15

Open

Question.  5

The median of the data: 3, 4, 5, 6, 7, 3, 4 is

(a)

5

(b)

3

(c)

4

(d)

6

Open

Question.  6

Out of 5 brands of chocolates in a shop, a boy has to purchase the brand which is most liked by children. What measure of central tendency would be most appropriate if the data is provided to him?

(a)

Mean

(b)

Mode

(c)

Median

(d)

Any of the three

Open

Question.  7

There are 2 aces in each of the given set of cards placed face down. From which set are you certain to pick the two aces in the first go?

(a) a
(b) b
(c) c
(d) d

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Question.  8

In the previous question, what is the probability of picking up an ace from set (d)?

(a)

\(\dfrac{1}{6}\)

(b)

\(\dfrac{2}{6}\)

(c)

\(\dfrac{3}{6}\)

(d)

\(\dfrac{4}{6}\)

Open

Question.  9

The difference between the highest and the lowest observations in a data is its

(a)

frequency

(b)

width

(c)

range

(d)

mode

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Question.  10

In a school, only 2 out of 5 students can participate in a quiz. What is the chance that a student picked at random makes it to the competition?

(a)

20%

(b)

40%

(c)

50%

(d)

30%

Open

Question.  11

Some integers are marked on a board. What is the range of these integers?

(a)

31

(b)

37

(c)

20

(d)

3

Open

Question.  12

On tossing a coin, the outcome is

(a)

only head

(b)

only tail

(c)

neither head nor tail

(d)

either head or tail

Open

Question.  13

The mean of three numbers is 40. All the three numbers are different natural numbers. If lowest is 19, what could be highest possible number of remaining two numbers?

(a)

81

(b)

40

(c)

100

(d)

71

Open

Question.  14

Khilona earned scores of 97, 73 and 88 respectively in her first three examinations. If she scored 80 in the fourth examination, then her average score will be

(a)

increased by 1

(b)

increased by 1.5

(c)

decreased by 1

(d)

decreased by 1.5

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Question.  15

Which measure of central tendency best represents the data of the most popular politician after a debate?

(a)

Mean

(b)

Median

(c)

Mode

(d)

Any of the above

Open

Question.  16

Which of the following has the same mean, median and mode?

(a) 6, 2, 5, 4, 3, 4, 1
(b) 4, 2, 2, 1, 3, 2, 3
(c) 2, 3, 7, 3, 8, 3, 2
(d) 4, 3, 4, 3, 4, 6, 4

(a) a
(b) b
(c) c
(d) d

Open

NCERT Exemplar Solutions Class 7 – Mathematics – Unit 3: Data Handling – Multiple Choice Questions | Detailed Answers