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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

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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

  Is there an error in this question or solution?
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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. Concept: Median of Grouped Data.
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