Approximate the median of the frequency distribution in Problem 2.
Square Footage .... Frequency
0-499 .......... 5
500-999 ........ 17
1000-1499 ....... 36
1500-1999 ....... 121
2000-2499 ...... 119
2500-2999 ....... 81
3000-3499 ....... 47
3500-3999 ...... 45
4000-4499 ....... 22
4500-4999 ...... 7
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

Transcribed Image Text:

rt - CF Median = M = L + (i)