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Maths Statistics Class 10 MCQ and Assertion Questions | CBSE 10 Question MCQ (including Assertion)

Question 1 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 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

CBSE Board Exam 2024

If the mean of five observations \(x, x+2, x+4, x+6\) and \(x+8\) is 11 , then the value of \(x\) is:

A 4 B 7 C 11 D 6

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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

CBSE Board Exam 2026

The following distribution shows the number of runs scored by some batsmen in test matches :

Runs Scored	3000-4000	4000-5000	5000-6000	6000-7000
Number of Batsmen	5	10	9	8

The lower limit of the modal class is :

A 3000 B 4000 C 5000 D 6000

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Question 6 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 7 of 10

NCERT Exemplar

Consider the following frequency distribution :

Class	0-5	6-11	12-17	18-23	24-29
Frequency	13	10	15	8	11

The upper limit of the median class is

A 17 B 17.5 C 18 D 18.5

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Question 8 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 9 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 10 of 10

A survey was conducted on \(\mathbf{8 0}\) gamers on how many games did they play in a day. The data is given below.

Number of games	Number of gamers
1-2	20
2-3	24
3-4	10
4-5	12
5-6	8
6-7	4
7-8	2

Which of the following is the modal class?

A 1-2 B 2-3 C 4-5 D 7-8

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