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NCERT Exemplar · Class 10 · Maths

Chapter 13: Statistics and Probability

Practice each question, then open the answer or worked solution.

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Exercise 13.1

13 questions
Q11Written answer

Consider the following distribution :

Marks obtained Number of students

More than or equal to 0 63

More than or equal to 10 58

More than or equal to 20 55

More than or equal to 30 51

More than or equal to 40 48

More than or equal to 50 42

The frequency of the class 30-40 is

(A) 3 (B) 4 (C) 48 (D) 51

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Worked solution

(A) 3

Explanation:

Marks Obtained Number of students Cumulative Frequency
0-10 (63 – 58) = 5 5
10-20 (58 – 55) = 3 3
20-30 (55 – 51) = 4 4
30-40 (51 – 48) = 3 3
40-50 (48 – 42) = 6 6
50< 42 = 42 42

Hence, frequency in the class interval 30 – 40 is 3.

Hence, option (A) is correct

Q12Written answer

If an event cannot occur, then its probability is

(A)1 (B) ¾ (C) ½ (D) 0

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Worked solution

(D) 0

Explanation:

The event which cannot occur is said to be impossible event.

The probability of impossible event = zero.

Hence, option (D) is correct

Q13Written answer

Which of the following cannot be the probability of an event?

(A)1/3 (B) 0.1 (C) 3% (D)17/16

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Worked solution

(D)17/16

Explanation:

Probability of an event always lies between 0 and 1.

Probability of any event cannot be more than 1 or negative as (17/16) > 1

Hence, option (D) is correct