The Data: 30 people are randomly surveyed about the number of pairs of shoes they own.

These are the results.

10 37 15 16 17

15 3 12 11 16

11 11 32 13 14

4 12 51 13 18

25 8 16 10 29

15 10 9 9 19 You can also access the data in a pre-made Excel file. To edit, save a copy.

Charts:

1. Construct a histogram a histogram in Excel. Use at least five bins. Insert your image below.

2. Construct a box plot in Excel. Insert your image below.

3. Based on the box plot and histogram, is the data skewed left, skewed right, or approximately symmetrical?

4. Based on the box plot, in which quartile is the data most concentrated? In which quartile is the data least concentrated?

Measures of Center and Spread

1. Compute the sample mean of the data.

2. Compute the sample standard deviation of the data.

3. Compute the median of the data.

4. Remove the highest value (51) and compute the sample mean.

5. Remove the highest value (51) and compute the sample standard deviation.

6. Remove the highest value (51) and compute the median.

7. Insert a link to your computations of the mean and standard deviation.

8. Which value (the mean, standard deviation, or median) changes the least? Why?

9. Use the IQR rule to find all outliers. Show all computations. List all outliers based on your computation.

10. Do you think outliers should be used when computing the mean, st