Stem and Leaf Plot Analysis

Stem and Leaf Plot Analysis

Read each question carefully and provide your answers in the space provided. Show all your work for calculations.

1. Construct an ordered stem and leaf plot for the following data representing test scores of 20 students: 78, 85, 92, 71, 88, 95, 73, 80, 82, 90, 75, 83, 91, 79, 86, 93, 70, 81, 87, 76.

2. Consider the following stem and leaf plot showing the ages of people attending a concert:

Stem | Leaf

1 | 5 7 8

2 | 0 2 2 4 6 9

3 | 1 3 5 5 7

4 | 0 2

Key: 1|5 = 15 years old

What is the median age of the concert attendees?

3. Using the stem and leaf plot from Question 2, calculate the mean age of the concert attendees. Round your answer to one decimal place.

4. A stem and leaf plot where most of the leaves are clustered towards the lower stems indicates a positively skewed distribution.

5. The following back-to-back stem and leaf plot shows the number of hours spent studying for a math exam by two different classes:

Class A | Stem | Class B

9 8 7 5 | 1 | 0 2 3 4

6 4 3 1 | 2 | 1 5 7 8

2 0 | 3 | 0 3

Key: 5|1 = 15 hours for Class A, 1|0 = 10 hours for Class B

Compare the median study times for Class A and Class B. Which class generally studied more?