Question

Sales volume last weekend for four samples, each consisting of five car dealerships, were as follows:

Data Point	1	2	3	4	5
Sample 1	37	15	43	25	21
Sample 2	38	31	12	19	28
Sample 3	16	21	45	32	25
Sample 4	19	10	45	37	22

What is the mean of the distribution of sample means?

Please round your answer to the nearest tenth.

Note that the correct answer will be evaluated based on the full-precision result you would obtain using Excel.

Answer 1

Data Point	1	2	3	4	5	Total	Mean
Sample 1	37	15	43	25	21	141	28.2
Sample 2	38	31	12	19	28	128	25.6
Sample 3	16	21	45	32	25	139	27.8
Sample 4	19	10	45	37	22	133	26.6
						Total	108.2
						Mean	27.1

to obtain the mean of the distribution of sample means, we first calculated the sample means of all 4 samples by below formula

Sample mean

we obtained the sample mean of each sample and then again calculated the mean of all the sample means.

All these process are presented in above table.

Hence, the mean of the distribution of sample means is 27.1