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# The Following Frequency Distribution Table Shows the Number of Mango Trees in a Grove and Their Yield of Mangoes, and Also the Cumulative Frequencies. Find the Median of the Data. - Algebra

#### Question

The following frequency distribution table shows the number of mango trees in a grove and their yield of mangoes, and also the cumulative frequencies. Find the median of the data.

 Class(No. of mangoes) Frequency(No. of trees) Cumulative frequency (less than) 50-100 33 33 100-150 30 63 150-200 90 153 200-250 80 233 250-300 17 250

#### Solution

Σfi = N = 250 ∴ N/2 = 125 ∴ f = 90
Also, c. f. = 63 and h = 50 and L = 150
Median   = L +[( N/2-C.F.)/f] × h
= 150 + [(125-63)/90] × 50
= 150 + 34.4 = 184.4

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