The median of the following frequency distribution is x 15 17 20 22 25 30 f 1 5 10 12 8 4

TS ICET 2016 Question Paper with Solutions for online practice

Note : In a code the

n^{th}

letter in the English alphabet is coded as the

r^{th}

letter of it, where r is the remainder when 3n + 2 is divided by 26. For example, the 7th letter G is coded as W since 3.7 + 2 = 23 and W is the 23rd letter; the 8th letter H is coded as Z since 3.8 + 2 = 26 and Z is the 26th letter in the alphabet. The reverse process is used for decoding. Based on this coding and decoding answer Q. Nos. 56 to 60.

Question : 141 of 200

Marks: +1, -0

The median of the following frequency distribution is

x	15	17	20	22	25	30
f	1	5	10	12	8	4

Validate

Solution:

x	f	cumulative frequency
15	1	1
17	5	6
20	10	16
22	12	28
25	8	36
30	4	40

N=40

N/2=40/2=20

falls in the cumulative frequency class whose X is 22
∴ Median = 22

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