Question

Calculate the arithmetic mean, median and mode for the following distribution variety: 6 7 8 9 10 11 12 frequency: 20 43 57 61 72 45 39

Answer 1

Given : distribution variety: 6 7 8 9 10 11 12

               frequency: 20 43 57 61 72 45 39

To Find : arithmetic mean, median and mode

Solution:

x      f      cf     xf

6 20 20 120

7 43 63 301

8 57 120 456

9 61 181 549

10 72 253 720

11 45 298 495

12 39 337 468

      337  3109

Considering discrete  values :

Mean = 3109/337

= 9.226

Mode =  10   ( 72 is max frequency )

337/2 = 168.5

169th data is 9  

Median  = 9

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