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Answers
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Answer:
5+x+20+15+y+5 = 60
45+x+y=60
x+y = 15. --------(1)
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
fi=60
N = 60. N/2. = 30
Median = 28.5
Clearly it lies in th class interval 20 - 30. So, 20-30 is the median
Median = l +N/2+CF/f×h
28.5 = 20 + 30-(5+x)/20×10
28.5 = 20 + 25-x/2
8.5 = 25-x/2
25-x =17
x=8
Put x = 8 in (1)
8+y= 15
y = 15 -8 = 7
Hence, x=8 and y= 7.