Calculate the mean of the following distribution
CI 0-10 10-20 20-30 30-40 40-50
b 12 16 6 7 9

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Solution

Class Interval frequency (fi) Mid value fixi
0-10 12 5 60
10-20 16 15 240
20-30 6 25 150
30-40 7 35 245
40-50 9 45 405
$N = \sum f i = 50$ $\sum f i x i = 1100$

$∴ M e a n = \frac{\sum f i x i}{\sum f i} = \frac{1100}{50} = 22$

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Class Interval	frequency (fi)	Mid value	fixi
0-10	12	5	60
10-20	16	15	240
20-30	6	25	150
30-40	7	35	245
40-50	9	45	405

Calculate the mean of the following distributionCI 0-10 10-20 20-30 30-40 40-50b 12 16 6 7 9

Class Interval frequency (fi) Mid value fixi 0-10 12 5 60 10-20 16 15 240 20-30 6 25 150 30-40 7 35 245 40-50 9 45 405 N=∑fi=50 ∑fixi=1100∴Mean=∑fixi∑fi=110050=22

Calculate the mean of the following distribution
CI 0-10 10-20 20-30 30-40 40-50
b 12 16 6 7 9

Class Interval frequency (fi) Mid value fixi
0-10 12 5 60
10-20 16 15 240
20-30 6 25 150
30-40 7 35 245
40-50 9 45 405
$N = \sum f i = 50$ $\sum f i x i = 1100$

$∴ M e a n = \frac{\sum f i x i}{\sum f i} = \frac{1100}{50} = 22$