Question

Listed below are the number of hours a student worked each week at her summer job. When she applied for the job, she

was told that the typical work week was 29 hours.

29, 25, 21, 20, 17, 16, 15, 33, 33, 30, 15

Create a boxplot for the data set and answer the following questions:

A. Identify the 5 number summary.

B. What is the Interquartile Range (IQR)?

C. How many weeks are above the upper quartile? What are the numbers of the hours worked?

D. What is the median number of hours she worked? What is the mean? Compare these to the typical work

week.
PLEASE ANSWER FAST!

Answer 1

Answer:

I'm not sure what a box plot is, but I'll just assume it's a box-and-whisker plot. I've attached it above.

Arrange the number in ascending order and find out what is the minimum, lower quartile, median, upper quartile and maximum number.

A. I'm sorry I don't understand the question :(

B. Interquartile Range(IQR) = Upper quartile- lower quartile

Hence, IQR= 30-16 = 14

C. 2 weeks, 33 hours for both weeks.

This is because upper quartile is 30 hours.

D. 21 hours.

Mean= Total number of hours ÷ number of weeks

Hence, mean = 254/11 = 23.1 hours (3 s.f.)

Comparing the mean and median to the typical work week, they are lesser since 21 and 23.1 are both lesser than 29 hours.