For what value of x, in the median of the following frequency distribu

For what value of x, in the median of the following frequency distribution 34.5 ?ClassFrequency0-10310-20520-301130-401040-50x50-60360-702

Answer»

Class	Frequency	C.F.
0-10	3	3
10-20	5	8
20-30	11	19
30-40	10	29
40-50	x	x + 29
50-60	3	x + 32
60-70	2	x + 34

Median = 30 + \(\cfrac{(\frac{34+x}2-19)}{10}\times 10\)

34.5 = 30 + \(\frac{34 + x - 38}2\)

⇒ 34 + x - 38 = (34.5 - 30)2 = 9

⇒ x = 9 + 4 = 13

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For what value of x, in the median of the following frequency distribution 34.5 ?ClassFrequency0-10310-20520-301130-401040-50x50-60360-702

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