2. if the median of the distribution given below is 28.5,find the value of x and y.
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Given data, n = 60
Median of the given data = 28.5
Where, n/2 = 30
Median class is 20 – 30 with a cumulative frequency = 25+x
Lower limit of median class, l = 20,
Cf = 5+x,
f = 20 & h = 10
Ncert solutions class 10 chapter 14-2
Substitute the values
28.5=20+((30−5−x)/20) × 10
8.5 = (25 – x)/2
17 = 25-x
Therefore, x =8
Now, from cumulative frequency, we can identify the value of x + y as follows:
Since,
60=5+20+15+5+x+y
Now, substitute the value of x, to find y
60 = 5+20+15+5+8+y
y = 60-53
y = 7
Therefore, the value of x = 8 and y = 7.
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