# Question: 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

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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