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Class XI Maths Statistics 3

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Question 1

Standard deviation and mean of 100 observations were calculated as 5.1 and 40 respectively. If one of the entry was 40 instead of 50

Which of the following statement is correct-

Question 2

Standard deviation and mean of 100 observations were calculated as 5.1 and 40 respectively. If one of the entry was 40 instead of 50

The value of [correct variance] is –
(Where [.] denotes greatest integer function)

Question 3

Standard deviation and mean of 100 observations were calculated as 5.1 and 40 respectively. If one of the entry was 40 instead of 50

Analyse the statements correctly regarding given data and choose the correct option-
Statement 1: Correct mean of given 100 observations is less than 40 but greater than 39.5
Statement 2: The function

have a critical point at

, the value of m equals to the correct standard deviation of given above data.

Question 4

On multiplying all the elements of a data set by

, then the variance of data is-

Question 5

Following information is given for a data set of 10 elements.

and

. Then-

Question 6

If in a frequency distribution, the mean and median are 21 and 22 respectively, then its mode is approximately

Question 7

Consider the following statements:
(a) Mode can be computed from histogram
(b) Median is not independent of change of scale
(c) Variance is independent of change of origin and scale.
Which of these is/are correct?

Question 8

In a series of 2n observations, half of them equal a and remaining half equal –a. If the standard deviation of the observations is 2, then |a| equals

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Oct 28JEE & BITSAT