Question

I give medal and fan 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

@Kittykitty1963

Answer 2

I have no idea man.

Answer 3

ok

Answer 4

@Embryo

Answer 5

can u figure it out

Answer 6

IQR, or interquartile range, is calculated as follows,\[Q_3-Q_1=IQR\]\[Q_3\]is calculated to be the value where 75% of the data is below it, Q_1 is determined to be the point at which 25% of the date are below it, having a mean of 8 means that it's the average number, where 50% of the data are above and below that number

Answer 7

Standard deviance is just how far away from the average you get

Answer 8

so b?

Answer 9

Okay, now with all that information, to answer your question, notice, that\[IQR=Q_3-Q_1\]gives you the range of the middle 50%

Answer 10

Yes! great job

Answer 11

ok thx