Question

Data: 62, 80, 68, 74, 75

Can you determine the sample mode and calcute the standard deviation data by hand showing all work.

Answer 1

Sol

Given data

62 68 74 75 80

Sample mode = the number from the sample that is repeated more number of times

As there is no number repeated twice

There is no mode for the sample data

Standard deviation

Mean = sum of observations / n

= ( 62 + 68 +74 +75 +80) / 5

= 359/5

= 71.8

Standard deviation = ( x - mean) ^ 2 / ( n - 1)

= ( 62 - 71.8) ^ 2 + ( 68 - 71.8)^ 2 + (74-71.8)^ 2 + ( 75 - 71.8)^ 2 + ( 80 - 71.8) ^ 2/( 5 -1)

= ( 96.04 + 14.44 + 4.84 +10.24 + 67.24) / 4

= 192.8/4

= 48.2