Question

a random sample of 40 college professors is selected from all professors at a university. the following list gives their ages.
68, 49, 47, 45, 30, 58, 49, 47, 41, 20, 55, 68, 57, 48, 64,
65, 56, 41, 58, 26, 32, 67, 41, 49, 30, 38, 45, 35, 28, 43,
64, 32, 31, 43, 24, 33, 44, 32, 34, 52.
construct a stem - and - leaf plot for the data. complete parts a. and b.
(use ascending order.)
stem leaves
2 0,4,6,8
3 0,0,1,2,2,2,3,4,5,8
4 1,1,1,3,3,4,5,5,7,7,8,9,9,9
5

Explanation:

Step1: Identify the stems

The stems are the tens - digit of the ages. For the given data, the stems are \(2\), \(3\), \(4\), \(5\), \(6\).

Step2: Identify the leaves for stem \(5\)

The leaves are the units - digit of the ages. Looking at the data, the ages with tens - digit \(5\) are \(55\), \(58\), \(57\), \(56\), \(52\). So the leaves (units - digits) are \(2\), \(5\), \(6\), \(7\), \(8\).

Answer:

The leaves for stem \(5\) are \(2\), \(5\), \(6\), \(7\), \(8\)