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Class XI Maths Statistics 2

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Question 1

A survey of 30 persons was carried out and their ages are listed below.

Age class containing mean also contains-

Question 2

For any ungrouped data,

Question 3

Given, total number of entries N, standard deviation

and variance

Question 4

Which of the following will give INCORRECT value of variance for any data –
Where symbols have their usual meanings.

Question 5

Directions: Assertion– Reason type questions. Each of these questions contains two statements;

Statement – 1 (Assertion) and

Statement – 2 (Reason)

Each of these questions also have four alternative choices, only one of which is the correct answer. You have to select the correct choice.

Statement 1: The variance of first n even natural numbers is

Statement 2: The sum of first n natural numbers is

and the sum of squares of first n natural numbers is

Question 6

For two data sets, each of size 5, the variances are given to be 4 and 5 and the corresponding means are given to be 2 and 4, respectively. The variance of the combined data set is

Question 7

The mean of the numbers a, b, 8, 5, 10 is 6 and the variance is 6.80. Then which one of the following gives possible values of a and b?

Question 8

Suppose a population A has 100 observations 101, 102, … , 200, and another population B has 100 observations 151, 152, …, 250. If V_A and V_B represent the variances of the two populations, respectively, then

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Apr 6JEE & BITSAT