Question

A district manager rewards sales teams based on overall sales generated in a month. The data for earnings are shown in the table, where Low represents the lowest sales and High represents the highest sales generated by a single sales team member.

Part A: If the manager wants to award the sales team that has the most consistent earnings among its team members, which team should it choose and why? Justify your answer mathematically. (5 points)

Part B: If the manager wants to award the sales team with the highest average earnings, which team should it choose and why? Justify your answer mathematically. (5 points)

Answer 1

Team Low High Range Mean Median IQR σ
Team X 275 2780 2505 1440.6 1432 837.7 716.8
Team Y 925 1850 925 1376.3 1371 443.3 259.8
Team Z 2250 3900 1650 3006.3 2943 542 505.9

Answer 2

@563blackghost

Answer 3

@Vocaloid

Answer 4

part A: "most consistent" can be interpreted as "least spread", and since standard deviation is a measure of spread, we can pick the team with the lowest stdev

part B: "highest average" you can either use highest mean or median, either one can technically mean average - however in this case, you may want to use median since the range/spread for team x is very high

Answer 5

so the answer would be

Part A: this would be most constant because i can be interpreted as least spread and the standard deviation is a measure of spread so this would make it best for the lowest stdev

Part B: this would be Highest average because you can use either the mean or median but in this case its best to use median because you have to solve for Range/spread for team x because there very high

Answer 6

@Vocaloid

Answer 7

the questions are asking which team you would pick

Answer 8

use the information I have provided to select a team for parts A and B according to the directions

Answer 9

so part a is team x?

Answer 10

@Vocaloid

Answer 11

im only saying that bc u said it would be the lowest team

Answer 12

part a: choose the team with the lowest standard deviation
team x does not have the lowest standard deviation

Answer 13

huh what do u mean

Answer 14

σ represents standard deviation

select the team with the lowest standard deviation

Answer 15

team y has the lowest

Answer 16

good, now continue to part B

Answer 17

Part A: i pick team Y because it has the lowest Standard deviation

Answer 18

that cant be all i do it says justify mathematically

Answer 19

@Vocaloid

Answer 20

that's honestly fine - since standard deviation (also IQR) represent the spread, lower stdev means lower spread and thus more consistent earnings. that's all you really have to say

Answer 21

so the part a i put i can copy and paste to my quiz

Answer 22

I would highly advise against copy pasting (that's plagiarism) try to read what I have said, and put it into your own words

Answer 23

no this voca

Answer 24

Part A: i pick team Y because it has the lowest Standard deviation

Answer 25

this was what i put a few mins ago is it correct and its in my own words

Answer 26

yeah that's fine, just be sure to explain (briefly) what standard deviation is and why it's important to the question

Answer 27

huh

Answer 28

\(\color{#0cbb34}{\text{Originally Posted by}}\) @Vocaloid
that's honestly fine - since standard deviation (also IQR) represent the spread, lower stdev means lower spread and thus more consistent earnings. that's all you really have to say
\(\color{#0cbb34}{\text{End of Quote}}\)

just a brief explanation of what standard deviation is and why it is relevant when considering "consistent earnings"

Answer 29

anyway I have to go soon, but follow a similar line of reasoning for part B). We decided that the median was the best measure of "highest average earnings" so select the team that had the highest median, and then explain why the median is the best measure to use (explained this earlier)

Answer 30

Part A: i pick team Y because it has the lowest Standard deviation. standard deviation is a quality that is calculated to prove the content as a whole group

Answer 31

@Vocaloid

Answer 32

@JustSaiyan can u see it this is right

Answer 33

It looks ok. I wouldn't go by what I say though. I am better at any other subject.

Answer 34

@YoursTruly will you help

Answer 35

Part A: i pick team Y because it has the lowest Standard deviation. standard deviation is a quality that is calculated to prove the content as a whole group