Approximate the median of the frequency distribution in Problem 3
Approximate the median of the frequency distribution in Problem 3.
Temperature (°F) .... Frequency
61-64 ......... 31
65-67 ......... 67
68-69 ....... 198
70 ......... 195
71-72 ........ 120
73-76 ......... 89
77-80 ......... 50
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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