Answered

Welcome to Westonci.ca, the ultimate question and answer platform. Get expert answers to your questions quickly and accurately. Our Q&A platform offers a seamless experience for finding reliable answers from experts in various disciplines. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

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.

Sagot :

jaguar155
B. 
The means-to-MAD ratio is 1.5.D.
The distributions are somewhat similar.
boffeemadrid

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:

[tex]Ratio=\frac{Mean of II-Mean of I}{MAD of II-MADof I}[/tex]

=[tex]\frac{60-54}{4-2}[/tex]

=[tex]\frac{6}{2}[/tex]

=[tex]3[/tex]

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.

We hope this was helpful. Please come back whenever you need more information or answers to your queries. We hope this was helpful. Please come back whenever you need more information or answers to your queries. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.