Question

Hank surveyed twenty-five locally owned small businesses in his town to determine the number of employees they have. The results are shown in the first table. He then took a random sample of five responses, and wrote them in the second table. Compare the mean of the population with the mean of a sample.
What is the difference between the mean of the population and the mean of the sample?

Answer 1

Answer:

0.24

Explanation:

To find the population mean, add together all of the values in the population:

0+2+3+2+1+3+2+3+4+3+3+2+3+2+5+1+5+2+3+2+3+4+1+3+4 = 66

Now divide by the number of data points, 25:

66/25 = 2.64

To find the sample mean, add together all of the values in the sample:

0+2+3+3+4 = 12

Divide by the number of data points, 5:

12/5 = 2.4

The difference is 2.64-2.4 = 0.24

Answer 2

Answer:

The difference between the mean of the population and the mean of the sample is 0.24

Explanation:

As given in the first table, the population table . we will add all the population together. This will help in getting mean.

$0+2+3+2+1+3+2+3+4+3+3+2+3+2+5+1+5+2+3+2+3+4+1+3+4 = 66$

As there are 25 locally owned small businesses , we will divide this by 25.

$\frac{66}{25}= 2.64$

Now, we will add together all of the values in the sample to find the sample mean :

$0+2+3+3+4 = 12$

Dividing this by 5 we get

$\frac{12}{5}=2.4$

Hence, the difference is 2.64-2.4 = 0.24