Chapter 14 Statistics Assertation & Reasoning Questions Class 10th

Direction: In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as:
(a) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
(b) Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of
Assertion (A).
(c) Assertion (A) is true but Reason (R) is false.
(d) Assertion (A) is false but Reason (R) is true

1.) Assertion: The runs scored by a batsman in 5 ODIs are 31,97,112, 63, and 12. The standard deviation is 25.79.

Reason: mean = total sum of number in data sets./ total number in data sets.

a) Both Assertion and Reason are correct and reason is correct explanation for the.

b) Both Assertion and Reason are false but reason is not correct explanation for assertion.

c) Assertion is correct but reason is false.

d) Both Assertion and reason are false.

Ans: a) both assertion and  reason are correct but  reason is  not correct explanation for assertion.

 2.) Assertion: the mode of the call received on 7 consecutive day 11,13,13,17,19,23,25 is 13.

Reason: Mode is the value that appears most frequent;

a)Both Assertion and Reason are correct and reason is correct explanation for the.

b)Both Assertion and Reason are false but reason is not correct explanation for assertion.

c)Assertion is correct but reason is false.

d)Both Assertion and reason are false.

Ans: a) both assertion and  reason are correct but  reason is  not correct explanation for assertion.

3.) Assertion: Frequency is the number of times a particular observation occurs in data.

Reason: Data can be grouped into class intervals such that all observations in that range belong to that class.

a) Both Assertion and Reason are correct and reason is correct explanation for the.

b) Both Assertion and Reason are false but reason is not correct explanation for assertion.

c) Assertion is correct but reason is false.

d) Both Assertion and reason are false.

Ans: b) both assertion and reason are correct but reason is not correct explanation for assertion.

4.) Assertion: Class width = upper class limit – lower class limit

Reason: Class mark =(Upper Class Limit+ Lower Class Limit)/2

a) Both Assertion and Reason are correct and reason is correct explanation for the.

b) Both Assertion and Reason are false but reason is not correct explanation for assertion.

c) Assertion is correct but reason is false.

d) Both Assertion and reason are false.

Ans: b) both assertion and reason are correct but reason is not correct explanation for assertion.

5) Assertion: If the value of mode and mean is 60 and 66 respectively, then the value of median is 64.

Reason: Median = (mode + 2 mean)/2

Answer: (c)

6) Assertion: The arithmetic mean of the following given frequency distribution table is 13.81.

Reason: x̅ = ∑ f_i x_i / ∑f_i 

Answer: (a)

7) Assertion: If the number of runs scored by 11 players of a cricket team of India are 5, 19, 42, 11, 50, 30, 21, 0, 52, 36, 27 then median is 30.

Reason: Median = (n+1)/2, if n is odd.

Answer: (d)