Question

1) Which of the following will give us the value of Median ?

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Answer 1

Answer:

please write options following

Answer 2

$your \: answer { \: is }$

4.5 −14.5

10

14.5 −24.5

18

24.5 −34.5

32

34.5 −44.5

26

44.5−54.5

14

54.5−64.5

10

Median is the middle most value of a given series that represents the whole class of the series. For a group data,

Median = L + [{(n/2) – B}/G] × w where

L is the lower class boundary of the group containing the median

n is the total number of values

B is the cumulative frequency of the groups before the median group

G is the frequency of the median group

w is the group width

Since the median is the middle value, which in this case is the 55th one, which is in the 24.5 −34.5 group. Therefore , 24.5 −34.5 is the median group so

L = 24.5

n = 110

B = 10 +18 = 28

G = 32

w = 10

Median= 24.5 + [{(110/2) – 28}/32] × 10

= 24.5 + 8.44

= 32.94