Help ASAP! Will give 39 points! Math Emergency! 1) 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.

Team Low High Range Mean Median IQR σ

Team X 190 2280 2090 1005.9 921.5 841.75 542.7

Team Y 745 1820 1075 1165.5 1147.5 447 262.1

Team Z 950 2275 1325 1906.6 2015.5 362.3 283.6

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.

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.

2) A company did a survey among 100 customers to find their car preferences. The customers were asked about their preferences for sedans or hatchbacks. Out of the total 25 people who liked sedans, 15 also liked hatchbacks. There were 40 people who liked hatchbacks.

Part A: Summarize the data by writing the values that the letters A to I in the table below represent.

Like sedans Do not like sedans Total

Like hatchbacks A B C

Does not like

hatchbacks D E F

Total G H I

Part B: What percentage of the survey respondents did not like either sedans or hatchbacks?

Part C: Do the survey results reveal a greater dislike for sedans or hatchbacks? Justify your answer.

3) A teacher is assessing the correlation between the number of hours spent studying and the average score on a science test. The table below shows the data:

Number of hours spent studying

(x) 0 0.5 1 1.5 2 2.5 3 3.5 4

Score on science test

(y) 57 62 67 72 77 82 87 92 97

Part A: Is there any correlation between the number of hours students spent studying and the score on the science test? Justify your answer.

Part B: Write a function which best fits the data.

Part C: What does the slope and y-intercept of the plot indicate?

Thanks!