Question

The file SUV contains the overall miles per gallon (MPG) of 2015 small SUVs:
26, 22, 24, 26, 21, 28.

Compute the standard deviation.
a. 2.66458 b. 7.10000 c. 5.91667 d.2.43242

Compute the coefficient of variation.
a. 10.8758 b. 28.97959 c. 24.14967 d.9.92824

Answer 1

The sample size is n=6. we compute the sample mean and sample variance as shown in the table below:

	MPG	MPG2
	26	676
	22	484
	24	576
	26	676
	21	441
	28	784
Sum =	147	3637

The sample mean is computed as follows:

The sample variance is

Therefore, the sample standard deviation s is

Then, we compute the coefficient of variation using the following formula:

so standard deviation is given by option (a) 2.66458

and coefficient of variation is given by option (a) 10.8758