The stem and leaf plot shows the ages of a group of friends find the median age.
2 | 8
3 | 1 2 4
4 | 2 7 9
5 | 4
Key: 2|8 = 28 years
_ years
The median age is 35 years.
To find the median, we first need to order the ages from least to greatest:
28, 31, 32, 34, 42, 47, 49, 54
There are 8 ages in total, so the median is the middle value. Since there are an even number of ages, we take the average of the two middle values:
Median = (34 + 42)/2 = 76/2 = 38
So the median age of the group is 38 years.
To find the median age from the stem and leaf plot, we need to arrange the ages in ascending order and find the middle value.
The ages in the stem and leaf plot are: 28, 31, 32, 34, 42, 47, 49, 54.
When arranged in ascending order: 28, 31, 32, 34, 42, 47, 49, 54.
To find the median, we count the number of ages, which is 8 in this case.
Since the number of ages is even, the median is the average of the middle two values.
The middle two values are 34 and 42.
To find the average, we add them together and divide by 2:
(34 + 42) / 2 = 76 / 2 = 38
Therefore, the median age is 38 years.