# Statistics: Study and Manipulation of Data

This set of MCQs is designed to test the concepts and learning about statistics, the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

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If the standard deviation of a data is 0.012. Find the variance.

0.144 0.00144 0.000144 0.0000144

Assuming the variance of four numbers w, x, y, and z as 9. Find the variance of 5w, 5x, 5y and 5z.

225 5/9 9/5 54

The algebraic sum of the deviation of 20 observations measured from 30 is 2. So, the mean of observations is

30.0 30.1 30.2 30.3

When tested the lives (in hours) of 5 bulbs were noted as follows: 1357, 1090, 1666, 1494, 1623. The mean of the lives of 5 bulbs is

1445 1446 1447 1448

If mode of a series exceeds its mean by 12, then mode exceeds the median by

4 8 6 12

The median and SD of a distributed are 20 and 4 respectively. If each item is increased by 2, the new median and SD are

20, 4 22, 6 22, 4 20, 6

Range of a data is equal to:

Range = Max Value – Min Value

Range = Max Value + Min Value

Range = (Max Value – Min Value)/2

Range = (Max Value + Min Value)/2

Relation between mean, median and mode is given by:

Mode = 2 Median – 3 Mean

Mode = 2 Median + 3 Mean

Mode = 3 Median – 2 Mean

Mode = 3 Median + 2 Mean

If the variance of the data is 121, the standard deviation of the data is:

121

11

12

21

The geometric mean of series having mean = 25 and harmonic mean = 16 is:

16

20

25

30

Find the median of 36, 72, 46, 42, 60, 45, 53, 46, 51, 49.

42

45.5

47.5

45

The coefficient of variation is computed by,

S.D/.Mean×100

S.D./Mean

Mean./S.D×100

Mean/S.D.

The mean of two samples of the sizes 250 and 320 were found to be 20,12 respectively. Their standard deviations were 2 &amp; 5, respectively. Find the variance of combined sample of size 650.

10.23

32.5

65

26.17

Find the variance of the first 10 natural numbers.

7.25

7

8.25

8

If the standard deviation of the numbers 2, 4, 5 &amp; 6 is a constant a, then find the standard deviation of the numbers 4, 6, 7 &amp; 8.

a + 2

2a

4a

a

Quiz/Test Summary
Title: Statistics: Study and Manipulation of Data
Questions: 15
Contributed by: 