Q. 36

# A survey regardin

Height (in cm) f C.F.

below 140 4 4

140-145 7 11 1

145-150 18 29

150-155 11 40

155-160 6 46

160-165 5 51

N = 51

N/2 = 51/2 = 25.5

As 29 is just greater than 25.5, therefore median class is 145-150.

Median =

Here, l = lower limit of median class = 145

C = C.F. of the class preceding the median class = 11 1/2

h = higher limit – lower limit = 150 – 145 = 5

f = frequency of median class =18

Median = 145 + 1/2

= 149.03

Mean by direct method

Height (in cm) f xi fxi

below 140 4 137.5 550

140-145 7 142.5 997.5

145-150 18 147.5 2655

150-155 11 152.5 1677.5

155-160 6 157.5 945

160-165 5 162.5 812.5 1

Mean =

= 7637.5/51

= 149.75

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