Below are the are data for the number of days since receiving a booster shot for 30 State U students.

15 28 0 4 16 20

21 33 5 11 9 26

15 10 24 19 21 3

0 2 16 7 17 5

3 0 0 25 12 9

(a) Compute the mean and standard deviation for these data. Use appropriate symbols.

(b) Compute the median and the IQR.

(c) Provide a 5-number summary of the data.

(d) Sketch a modified boxplot of the data. How would you describe the shape of the distribution? Are there any potential outliers? If so, which value(s)?

(e) What is the z-score for the individual whose booster age is 10 days? Interpret the result