10 Question MCQ (including Assertion)

Question 1 of 10

NCERT Exemplar

In the following distribution :

Monthly income range (in Rs)	Number of families
Income more than Rs 10000	100
Income more than Rs 13000	85
Income more than Rs 16000	69
Income more than Rs 19000	50
Income more than Rs 22000	33
Income more than Rs 25000	15

the number of families having income range (in Rs) 16000-19000 is

A 15 B 16 C 17 D 19

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Question 2 of 10

In statistics, an outlier is a data point that differs significantly from other observations of a data set.

If an outlier is included in the following data set, which measure(s) of central tendency would change?

12, 15, 22, 44, 44, 48, 50, 51

A only mean B only mean and median C all - mean, median, mode D (cannot be said without knowing the outlier.)

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Question 3 of 10

NCERT Exemplar

The times, in seconds, taken by 150 atheletes to run a 110 m hurdle race are tabulated below :

Class	13.8-14	14-14.2	14.2-14.4	14.4-14.6	14.6-14.8	14.8-15
Frequency	2	4	5	71	48	20

The number of atheletes who completed the race in less then 14.6 seconds is :

A 11 B 71 C 82 D 130

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Question 4 of 10

Consider the following frequency distribution of the heights of 60 students of a class :

Height (in cm)	Number of students
150-155	15
155-160	13
160-165	10
165-170	8
170-175	9
175-180	5

The sum of the lower limit of the modal class and upper limit of the median class is

A 310 B 315 C 320 D 330

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Question 5 of 10

NCERT Exemplar

For the following distribution :

Class	0-5	5-10	10-15	15-20	20-25
Frequency	10	15	12	20	9

the sum of lower limits of the median class and modal class is

A 15 B 25 C 30 D 35

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Question 6 of 10

In the given frequency distribution table, the values of missing frequency a1 and a2 respectively are:

Cl.	Frequency	Cumulative frequency
0-10	5	\(5\)
10-20	\(\mathrm{a}_1\)	12
20-30	9	21
30-40	\(\mathrm{a}_2\)	31
40-50	9	40

A \(\mathrm{a}_1=5, \mathrm{a}_2=5\) B \(\mathrm{a}_1=7, \mathrm{a}_2=5\) C \(\mathrm{a}_1=7, \mathrm{a}_2=10\) D \(\mathrm{a}_1=5, \mathrm{a}_2=10\)

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Question 7 of 10

CBSE Board Exam 2026

The class mark of the median class of the following data is :

Class Interval	10-25	25-40	40-55	55-70	70-85	85-100
Frequency	2	3	7	6	6	6

A 40 B 55 C \(47.5\) D \(62.5\)

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Question 8 of 10

NCERT Exemplar

Consider the data :

Class	65-85	85-105	105-125	125-145	145-165	165-185	185-205
Frequency	4	5	13	20	14	7	4

The difference of the upper limit of the median class and the lower limit of the modal class is

A 0 B 19 C 20 D 38

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Question 9 of 10

CBSE Board Exam 2026

The median and mode of a distribution are \(25 \cdot 2\) and \(26 \cdot 1\) respectively. The mean of the distribution is :

A \(24 \cdot 75\) B \(24 \cdot 25\) C \(24 \cdot 3\) D 25.5

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Question 10 of 10

CBSE Board Exam 2025

If the mean of \(2,9, x+6,2 x+3,5,10,5\) is 7 , then the value of \(x\) is :

A 9 B 6 C 5 D 3

Select one option. Answers are shown after the test.

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10 Question MCQ (including Assertion)