Question

5 the stem and leaf plot shows the ages of 24 counselors at a summer camp. ages of counselors (years) a) how many counselors are exactly 20 years old? b) how many counselors are exactly 40 years old? c) what is the difference in years between the age of the youngest counselor and the age of the oldest counselor?

Explanation:

Step1: Analyze the stem - and - leaf plot for part A

In a stem - and - leaf plot, the stem represents the tens place and the leaf represents the ones place. For the age of 20 (stem = 2, leaf = 0), count the number of 0s in the leaf row where stem = 2.

Step2: Analyze the stem - and - leaf plot for part B

For the age of 40 (stem = 4, leaf = 0), check the leaf row where stem = 4. There are 0 leaves corresponding to 0 in the ones place for stem = 4.

Step3: Find the youngest and oldest ages for part C

The youngest age: stem = 1, leaf = 7, so age = 17. The oldest age: stem = 5, leaf = 4, so age = 54. Calculate the difference \(54−17\).

Answer:

A. 3 counselors are exactly 20 years old.
B. 0 counselors are exactly 40 years old.
C. The difference is \(54 - 17=37\) years.