Salary data were gathered from two companies and displayed in the stacked box plots.

Two horizontal box plots are labeled Company A and Company B. The x-axis is labeled Salaries in Ten-thousands and scaled from 0 to 26. Company A shows first vertical segment at 4 and second segment at 7 and the third at 9 and the fourth at 13 and the last at 20 with an x placed at approximately 12. Company B shows first vertical segment at 3 and second segment at 6 and the third at 10 and the fourth at 12 and the last at 15 with an x placed at approximately 9.

Part A: Compare the appropriate measure of center based on the shapes of the distributions. Explain your choice. (3 points)

Part B: Compare the appropriate measure of variability based on the shapes of the distributions. Explain your choice. (3 points)

Part C: Which company is better to work for if you are an average worker? Justify the answer. (4 points)

Question

Salary data were gathered from two companies and displayed in the stacked box plots.

Two horizontal box plots are labeled Company A and Company B. The x-axis is labeled Salaries in Ten-thousands and scaled from 0 to 26. Company A shows first vertical segment at 4 and second segment at 7 and the third at 9 and the fourth at 13 and the last at 20 with an x placed at approximately 12. Company B shows first vertical segment at 3 and second segment at 6 and the third at 10 and the fourth at 12 and the last at 15 with an x placed at approximately 9.

Part A: Compare the appropriate measure of center based on the shapes of the distributions. Explain your choice. (3 points)

Part B: Compare the appropriate measure of variability based on the shapes of the distributions. Explain your choice. (3 points)

Part C: Which company is better to work for if you are an average worker? Justify the answer. (4 points)

Phantomdex · Answer

attachment

Aubree · Answer

What you're solving for
The company that is better to work for if you are an average worker.What’s given in the problem
Salary data were gathered from two companies and displayed in the stacked box plots
Helpful information
The mean is the ratio of the sum of the values and the number of values in a data set.The median is the middle value in a data set when the data is arranged in ascending order.An outlier is a data value that is significantly different from the other values in a data set.
How to solve
Compare the mean and median of the salaries in each company.
Step 1
Compare the mean of the salaries in each company.The mean of the salaries in company ⁠A is ⁠12 ten thousand.The mean of the salaries in company ⁠B is ⁠9 ten thousand.Since the mean of the salaries in company ⁠A is greater than the mean of the salaries in company ⁠B, it would be better to work for company ⁠A if you are an average worker.
Step 2
Compare the median of the salaries in each company.The median of the salaries in company ⁠A is ⁠12 ten thousand.The median of the salaries in company ⁠B is ⁠9 ten thousand.Since the median of the salaries in company ⁠A is equal to the mean of the salaries in company ⁠A, it is more representative of the average salary in company ⁠A.Since the median of the salaries in company B is less than the mean of the salaries in company ⁠B, it is not as representative of the average salary in company ⁠B.
Solution:
It would be better to work for company ⁠A if you are an average worker because the mean of the salaries in company ⁠A is greater than the mean of the salaries in company ⁠B.

Phantomdex · Answer

So both the mean and medians are same 12 and 9?

Aubree · Answer

Yes

Phantomdex · Answer

Alright just wanted to double check!

Phantomdex · Answer

If the mean and median in company b are the same, how is it less?

Phantomdex · Answer

I think I got it actually.

1 attachment