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
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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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