Question

What is the mean of reported heights listed in the table below? Number Reported height Measured Height Difference Description 1 61 62 -1 Under reported 2 68 68 0 Accurately reported 3 57.5 56.5 1 Over reported 4 48.5 47 1.5 Over reported 5 75 72 3 Over reported 6 65 65 0 Accurately reported 7 80 78 2 Over reported 8 68 67 1 Over reported 9 69 69.5 -0.5 Under reported 10 63 62.5 0.5 Over reported 64.75 65.125 65.5 66.5

Answer 1

`65.5`

Explanation:

According to the table, the 10 values of reported height are 61,68,57.5,48.5,75,65,80,68,69 and 63.

Hence the average of 10 values of reported height =
`(61+68+57.5+48.5+75+65+80+68+69+63)/(10)`

`= (655)/(10)`

`= 65.5`

Answer 2

The 10 values of reported height are ...

... 61, 68, 57.5, 48.5, 75, 65, 80, 68, 69, 63

Their total is 655, so their average is 655/10 = 65.5 . . . . . your 3rd selection