Scrapper Elevator Company has 20 sales representatives who sell its product throughout the United States and Canada. The number

Question

4 years ago

10

Scrapper Elevator Company has 20 sales representatives who sell its product throughout the United States and Canada. The number

of units sold last month by each representative is listed below. Assume these sales figures to be the population values. 2,3,2,3,3,4,2,4,3,2,2,7,3,4,5,3,3,3,3,51. Compute the mean of the population.2. Compute the standard deviation.3. what would be the mean of the sample means?4. what would be the standard deviation of the sample means?

Mathematics

2 answers:

NISA [10] · Answer 1 · 2021-12-29T11:02:45+03:00

Answer: Mean (μ) = 3.3; Standard Deviation (s) = 1.26

Step-by-step explanation:

The mean is the sum of all the value on your data set divided by the total number of the sample:

μ = ∑x / n

μ = $\frac{2+3+2+3+3+4+2+4+3+2+2+7+3+4+5+3+3+3+3+5}{20}$

μ = 3.3

The standard deviation is the square root of the square of the difference between each value of the sample and the mean divided by the number of the sample minus 1:

s = $\sqrt{\frac{(x_{i} - x)^{2} }{n - 1} }$

s = $\sqrt{\frac{(2-3.3)^{2} + ... + (5-3.3)^{2} }{20-1} }$

s = $\sqrt{\frac{30.2}{19} }$

s = 1.26

<u>Mean (μ)</u> is the average value of a data set. It is as if all the sample has had the same digits to do something. For example, Scrapper Elevator Company has a mean of 3.3. In "ideal" conditions, each sales representative would sell 3.3 products throughout the US and Canada.

<u>Standard Deviation (s)</u> is a value of how far the numbers are from the middle. For example, the sales representative who sold 7 products is 1.26 distant from the middle.