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.
If the standard deviation of a data is 0.012. Find the variance.
Assuming the variance of four numbers w, x, y, and z as 9. Find the variance of 5w, 5x, 5y and 5z.
The algebraic sum of the deviation of 20 observations measured from 30 is 2. So, the mean of observations is
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
If mode of a series exceeds its mean by 12, then mode exceeds the median by
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
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 & 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 & 6 is a constant a, then find the standard deviation of the numbers 4, 6, 7 & 8.
a + 2
2a
4a
a