Question

followings is the weekly wage earning of 20 workers working at a construction site. Calculate standard deviation.
wages 0-10 no.of workers 6
wages 10-20 no.of workers 4
wages 20-30 no.of workers 2
wages 30-40 no.of workers 3
wages 40-50 no.of workers 5​

Answer 1

Answer:

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Explanation:

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Answer 2

Answer:

1.58

Explanation:

Standard deviation can be calculated through the following steps;

Calculate the average of the given data set;

Average of 6, 4, 2, 3, 5 is 4

Now Subtract the mean from each number;

(6-4) , (4-4) , (2-4) , (3-4) , (5-4)

(2) , (0) , (-2) , (-1) , (1)

Taking square of each,

4,0,4,1,1

Add up all of the results

= 10

Divide the sum of squares by the number of numbers minus one

= (10)/ (5-1)

=2.5

Taking the square root

=1.58

Hence standard deviation is 1.58