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.

Answer 1

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

Answer 2

Answer:

(A) and (D)

Step-by-step 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:

$Ratio=\frac{Mean of II-Mean of I}{MAD of II-MADof I}$

=$\frac{60-54}{4-2}$

=$\frac{6}{2}$

=$3$

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.