Approximate the median of the frequency distribution in Problem 4
Approximate the median of the frequency distribution in Problem 4.
Age ..... Frequency
0-17 ...... 15,451
18–24 ..... 6071
25–34 .... 6123
35–44 .... 4756
45–54 .... 4421
55–59 ..... 1792
60-64 .... 1520
65 and older .. 3433
Use the following steps to approximate the median from grouped data.
Approximating the Median from Grouped Data
Step I Construct a cumulative frequency distribution.
Step 2 Identify the class in which the median lies. Remember, the median can be obtained by determining the observation that lies in the middle.
Step 3 Interpolate the median using the formula
where
L is the lower class limit of the class containing the median
n is the number of data values in the frequency distribution
CF is the cumulative frequency of the class immediately preceding the class containing the median
f is the frequency of the median class
i is the class width of the class containing the median
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