Question

the following stem-and-leaf plot shows the ages of helga’s neighbors.
stem | leaves
0 | 1, 3, 6, 7, 9
1 | 1, 2, 2, 4, 6
2 | 5, 7
3 | 1, 1, 2
4 | 3, 7
5 | 1, 5, 8
6 | 4, 5
key: 2|5 = 25
how many of helga’s neighbors are over the age of 50?

Explanation:

Step1: Understand stem - leaf plot

In a stem - leaf plot, the stem represents the tens place and the leaf represents the ones place. The key \(2|5 = 25\) tells us that the stem is the tens digit and the leaf is the ones digit. We need to find the number of neighbors with age over 50, which means the stem should be greater than or equal to 5 (since if stem is 5, the age is in the 50s, 60s etc.).

Step2: Analyze each stem

• Stem 0: Ages are \(01,03,06,07,09\) (all less than 50)
• Stem 1: Ages are \(11,12,22,24,26\) (all less than 50)
• Stem 2: Ages are \(25,27\) (all less than 50)
• Stem 3: Ages are \(31,31,32\) (all less than 50)
• Stem 4: Ages are \(43,47\) (all less than 50)
• Stem 5: Ages are \(51,55,58\) (these are over 50, count = 3)
• Stem 6: Ages are \(64,65\) (these are over 50, count = 2)

Step3: Calculate total

To find the total number of neighbors over 50, we add the number of leaves for stem 5 and stem 6. So \(3 + 2=5\).

Answer:

5