the stem - and - leaf plot shows the ages of a group of friends. find the median age. this stem - and - leaf…
the stem - and - leaf plot shows the ages of a group of friends. find the median age. this stem - and - leaf plot represents the ages of a group of friends. the stem represents the tens place, and the leaves represent the ones place. stem leaf 2 8 3 1 2 4 4 2 7 9 5 4 key: 2|8 = 28 years
Answer
Answer:
34
Explanation:
Step1: Write out all data values
The data values are 28, 31, 32, 34, 42, 47, 49, 54.
Step2: Arrange data in ascending order
The data is already in ascending - order: 28, 31, 32, 34, 42, 47, 49, 54.
Step3: Determine the number of data points
There are (n = 8) data points.
Step4: Calculate the median position
Since (n = 8) (an even number), the median is the average of the (\frac{n}{2})th and ((\frac{n}{2}+ 1))th ordered data values. (\frac{n}{2}=\frac{8}{2}=4) and (\frac{n}{2}+1 = 4 + 1=5).
Step5: Find the median
The 4th value is 34 and the 5th value is 42. The median is (\frac{34 + 42}{2}=\frac{76}{2}=34).