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Statistics

Multiple Choice Questions

51.

A data set of n observations has mean 2M, while another data set of 2n observations has mean M. What is the mean of the combined data sets ?

M
$\frac{3 M}{2}$
$\frac{2 M}{3}$
$\frac{4 M}{3}$

52.

The sum of deviations of n number of observations measured from 2.5 is 50. The sum of deviations of the same set of observations measured from 3.5 is - 50. What is the value of n ?

53.

What is the standard deviation of the observations

$- \sqrt{6}, - \sqrt{5}, - \sqrt{4}, - 1, 1, \sqrt{4}, \sqrt{5}, \sqrt{6} ?$

$\sqrt{2}$
2
$2 \sqrt{2}$
4

54.
Read the following information and answer the three items that follow :
What is the mean of marks in Physics ?

38.4

39.4

40.9

41.6

40.9

Let A = 35 h = 10

We know that Mean is defined as = A + h $[\frac{\sum f_{i} u_{i}}{\sum f_{i}}]$

= 35 + $\frac{59}{100} \times 10$ = 40.9

55.

Read the following information and answer the three items that follow :

Consider the following statements:

Modal value of the marks in Physics lies in the interval 30 - 40.
Median of the marks in Physics is less than that of marks in Mathematics.

Which of the above statements is/are correct ?

1 only
2 only
Both 1 and 2
Neither 1 nor 2

56.