Mean deviation, Quartile deviation, Decile deviation, Percentile deviation for grouped data calculator

SolutionHelp

1. Calculate the mean and standard deviation for the following distribution

X	6	7	8	9	10	11	12
f	3	6	9	13	8	5	4

2. Calculate the mean and standard deviation for the following distribution

Class	50-55	45-50	40-45	35-40	30-35	35-30	20-25
f	25	30	40	45	80	110	170

Example

1. Calculate Mean deviation from the following grouped data
X Frequency
0 1
1 5
2 10
3 6
4 3

Solution:
Mean deviation :

Mean

$bar x=(sum f x)/n$

$=55/25$

$=2.2$

Mean deviation of Mean

$delta bar x = (sum f*|x - bar x|)/n$

$delta bar x = 20.4/25$

$delta bar x = 0.816$

Coefficient of Mean deviation

$=(delta bar x)/(bar x)$

$=0.816/2.2$

$=0.3709$