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

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

Step-by-step 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.

`(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

`(12)/(5)=2.4`

Hence, the difference is 2.64-2.4 = 0.24

Answer 2

0.24

Step-by-step 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