Approximate the median of the frequency distribution in Problem 4. Age .....Frequency 0-17 ......15,451 1824 ..... 6071 2534 .... 6123 3544 .... 4756 4554 ....

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

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