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Find the Mean of the Following Distribution: - Mathematics

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Question

Find the mean of the following distribution:

Class interval 0 - 10 10 - 20 20 - 30 30 - 40 40 - 50
Frequency 10 6 8 12 5
Sum
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Solution

Class
Interval
Frequency
(f)
Mid value
fx
0 - 10 10 5 50
10 - 20 15 90
20 - 30 8 25 200
30 - 40 12 35 420
40 - 50 5 45 225
  `sumf` = 41   `sumfx` = 985

∴ Mean = `(sumfx)/(sumf) = (985)/(41)`
= 24·02.

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