Question

The frequency distribution table shows the number of mango trees in a grove and their yield of mangoes. Find the median of data. No. of Mangoes No. of trees
50-100 : 33
100-150 : 30
150-200 : 90
200-250 : 80
250-300 : 17

Answer 1

Answer : Median of data is 184 mangoes.

Step-by-step explanation:

Refer the Attachment for table.

From the given table :

L = lower class limit of median class = 150

N = sum of frequencies = 250

h = class interval of median class = 50

f = frequency of median class = 90

cf = cumulative frequency of class preceding median class = 63

Finding the Median :-

$L + (\dfrac{ \frac{N}{2} - cf}{f}) \times h$

$=> 150 + (\dfrac{\frac{250}{2} - 63}{90}) \times 50$

$=> 150 + (\frac{62}{90}) \times 63$

$=> 150 + 34.44$

$=> 184.44$

Hence, median of data is 184 mangoes.