3. Describing Data Numerically
Median
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Find the median of the sample data below.
A
24
B
18
C
22
D
33
Verified step by step guidance1
First, list all the ages of the students in the college class: 26, 33, 31, 22, 20, 19, 21, 18, 25.
Next, arrange these ages in ascending order: 18, 19, 20, 21, 22, 25, 26, 31, 33.
Count the number of data points. In this case, there are 9 ages.
Since the number of data points is odd, the median is the middle number in the ordered list. Find the middle position by using the formula (n + 1) / 2, where n is the number of data points.
Calculate the position: (9 + 1) / 2 = 5. The median is the 5th number in the ordered list, which is 22.
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