Question

Calculate average deviation for mean for following values 16.23, 16.22, 16.30, and 16.25.
a.0.011
b. 0.031
c.0.025
d.0.021​

Answer 1

Answer:

0.0011

Explanation:

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Answer 2

Given: four values are given = 16.23, 16.22, 16.30, and 16.25.

To find: the average deviation for mean.

Step-by-step explanation:

Step 1 of 2

The values given can be arranged in ascending order as:

16.22, 16.23, 16.25, 16.30.

The mean of the observations will be ⇒

Mean = Sum of observations/Total number of observations

$Mean=\frac{16.22+ 16.23+ 16.25+16.30}{4} \\\\Mean=\frac{65}{4} \\\\Mean=16.25$

Step 2 of 2

The average deviation will be:

$=\frac{|16.23-16.25|+|16.22-16.25|+|16.25-16.25|+|16.30-16.25|}{4}\\ \\=\frac{0.02+0.03+0+0.05}{4} \\\\=\frac{0.1}{4} \\\\=0.025$

Therefore, option (c) 0.025 is correct.