If the median of the distribution given below is 28.5, find the values of x and y.
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Step-by-step explanation:
Class interval Frequency Cumulative frequency
- 0 - 10 5 5
- 10 - 20 x 5+ x
- 20 - 30 20 25 + x
- 30 - 40 15 40 + x
- 40 - 50 y 40+ x + y 50 - 60 5 45 + x + y
Total (n) 60
From the table, it can be observed that n = 60
45 + x + y = 60
x + y = 15 (1)
Median of the data is given as 28.5 which lies in interval 20 - 30.
Therefore, median class = 20 - 30
Lower limit (l) of median class = 20
- Cumulative frequency (cf) of class preceding the median class = 5 + x
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