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
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Answer:
The answer is B) 0.031√ Ok
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b. 0.031
Average deviation
To find the average deviation of the given values, we have to follow the below-mentioned steps:
- Find the mean of all the numbers
(16.23 + 16.22 + 16.30 + 16.25) = 65
65/4 = 16.25
- Find individual absolute deviation using the formula
|16.23 – 16.25| = 0.02
|16.22 – 16.25| = 0.03
|16.30 – 16.25| = 0.05
|16.23 – 16.25| = 0.02
|16.25 – 16.25| = 0
- Now add all the values found in step 2
0.02+0.03+0.05+0.02+0 = 0.12
- Divide it by the number of values in the data set
0.12/4 = 0.03
Hence, the average deviation for mean for the following values 16.23, 16.22, 16.30, and 16.25 is 0.03.
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