Question

Data Set 1 has a mean of 54 and a MAD of 4. Data Set 2 has a mean of 60 and a MAD of 2.

What can you conclude about the two distributions?

Choose exactly two answers that are correct.

A.
The means-to-MAD ratio is 3.

B.
The means-to-MAD ratio is 1.5.

C.
The distributions are similar.

D.
The distributions are somewhat similar.

Answer 1

B.
The means-to-MAD ratio is 1.5.D.
The distributions are somewhat similar.

Answer 2

(A) and (D)

Explanation:

Given:

Data set 1 Data set 2

Mean=54 Mean=60

MAD=4 MAD=2

Now, The means-to-MAD ratio is given as:

`Ratio=(Mean of II-Mean of I)/(MAD of II-MADof I)`

=
`(60-54)/(4-2)`

=
`(6)/(2)`

=
`3`

Therefore, The means-to-MAD ratio is 3.

Thus, option (A) is correct.

Also,the Mean absolute deviation of set II is somewhat similar to Mean absolute deviation of set I, therefore The distributions are somewhat similar.

Thus, option (D) is correct.