Question

In: Math

Consider the following sample data. Sample A: 10, 17, 24 Sample B: 68, 75, 82 Sample...

Consider the following sample data.


Sample A:	10, 17, 24
Sample B:	68, 75, 82
Sample C:	1,035; 1,042; 1,049

(a) Find the mean and standard deviation for each sample.

	Sample A:	Sample B:	Sample C:
Mean
Sample Standard Deviation

(b) What does this exercise show about the standard deviation?

____The idea is to illustrate that the standard deviation is not a function of the value of the mean.

____The idea is to illustrate that the standard deviation is a function of the value of the mean.

Expert Solution

GIVEN:

Sample A	10, 17, 24
Sample B	68, 75, 82
Sample C	1035, 1042, 1049

SOLUTION:

MEAN AND STANDARD DEVIATION OF SAMPLE A:

The mean for sample A is given by,

The standard deviation for sample A is given by,


10	-7	49
17	0	0
24	7	49

The mean for sample A is .

The standard deviation for sample A is .

MEAN AND STANDARD DEVIATION OF SAMPLE B:

The mean for sample B is given by,

The standard deviation for sample B is given by,


68	-7	49
75	0	0
82	7	49

The mean for sample B is .

The standard deviation for sample B is .

MEAN AND STANDARD DEVIATION OF SAMPLE C:

The mean for sample C is given by,

The standard deviation for sample C is given by,


1035	-7	49
1042	0	0
1049	7	49

The mean for sample C is .

The standard deviation for sample C is .

(b) What does this exercise show about the standard deviation?

Standard deviation measures the spread or dispersion of a data distribution. The variability of data points around the mean is same for all three samples given. The idea is to illustrate that the standard deviation is a function of the value of the mean.

milcah answered 3 hours ago

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