# Question: Approximate the median of the frequency distribution in Problem 2

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

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

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