Question

Which best describes the spread of a set of data that has an interquartile range of 12 and a mean absolute deviation of 8?
A.
The average distance of all data values from the mean is 12 and the middle 50% of data values has a range of 8.
B.
The average distance of all data values from the mean is 8 and the middle 50% of data values has a range of 12.
C.
The average distance of all data values from the mean is 10 and the middle 50% of data values has a range of 4.
D.
The average distance of all data values from the mean is 10 and the middle 50% of data values has a range of 20

Answer 1

B?

Answer 2

@jim_thompson5910

Answer 3

` interquartile range of 12 ` is equivalent to saying `the middle 50% has a range of 12`

eg:
Q1 = 4
Q3 = 16
IQR = 16-4 = 12
the middle chunk of the data set would have a span of 12 (going from 4 to 16)

Answer 4

I think it's B but I'm not quite sure

Answer 5

` mean absolute deviation of 8` is equivalent to saying `the average distance from the points to the mean is 8`

in other words,
take the distance from each point to the mean
add up those distances
divide by the number of values

doing all that gives you the mean absolute deviation (MAD)

Answer 6

Sorry d was not fully done

Answer 7

ok I did it is it c?