Question

ages of the employees in a company
stem (10) | leaf (1)
1 | 9 9
2 | 0 2 5 5 6 7 7 8
3 | 4 6 7 8 9 9
4 | 0 1 5 6
5 | 4
what is the difference between the age of the oldest and the youngest employees?
type your answer here

Explanation:

Step1: Find the youngest age

The stem - leaf plot has stem representing tens place and leaf representing units place. For the youngest age, we look at the smallest stem and the smallest leaf in that stem. The smallest stem is 1, and the leaf is 9 (but we take the age as \(1\times10 + 9=19\)). Wait, actually, the stem 1 has leaves 9,9, so the youngest age is \(1\times10 + 9 = 19\)? Wait no, wait the stem is tens, leaf is units. Wait, stem 1: age is \(10 + 9=19\), stem 2: \(20 + 0 = 20\), stem 3: \(30+4 = 34\), stem 4: \(40 + 0=40\), stem 5: \(50+4 = 54\). Wait, no, the youngest age is the minimum value. Let's list all ages:

From stem 1: \(19,19\)

From stem 2: \(20,22,25,25,26,27,27,28\)

From stem 3: \(34,36,37,38,39,39\)

From stem 4: \(40,41,45,46\)

From stem 5: \(54\)

So the youngest age is \(19\) (from stem 1, leaf 9) and the oldest age is \(54\) (from stem 5, leaf 4).

Step2: Calculate the difference

The difference between the oldest and youngest age is \(54-19\).
\(54 - 19=35\)

Answer:

35