Question

Fine standard deviation from the following data.
52, 50, 56, 68, 65, 62, 57, 70​

Answer 1

Answer:

Standard deviation is 6.91

Explanation:

Standard deviation can be calculated through the following steps;

Calculate the average of the given data set;

Average of 52, 50, 56, 68, 65, 62, 57, 70 is 60

Now Subtract the mean from each number;

(52-60) , (50-60) , (56-60) , (68-60) , (65-60) , (62-60) , (57-60) , (70-60)

(-8) , (-10) , (-4) , (8) , (5) , (2) , (-3) , (10)

Taking square of each,

64, 100, 16, 64, 25, 4, 9, 100

Add up all of the results

= 382

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

= (382)/ (9-1)

=47.75

Taking the square root

=6.91

Hence standard deviation is 6.91