Question

An art curator records statistics about three new exhibits at her art museum. The mean age of the artifacts and the standard deviation, SD, for each exhibit are recorded in the table below Exhibit A Exhibit B Exhibit C Mean = 42 SD = 4.9 Mean = 96 SD = 3.7 Mean = 234 SD = 6.1 Use the information in the table to complete the following statement.Exhibit B or C or A shows the least consistency in the age of the artifacts in the exhibit, because its mean or standard deviation is the highest or lowest .

Answer 1

Answer:

Exhibit A shows the least consistency in the age of the artifacts in the exhibit, because its mean is the lowest .

Step-by-step explanation:

We can calculate consistency using standard deviation and mean of the given data , i.e.

Coefficient of Variation $=\frac{\sigma}{\mu} X 100$

• For Exhibit A   (With Mean = 42 SD = 4.9)

       Coefficient of Variation $=\frac{4.9}{42} X 100=0.17\%$

• For Exhibit B  (Mean = 96 SD = 3.7)

       Coefficient of Variation $=\frac{3.7}{96} X 100=0.04\%$

• For Exhibit C  (Mean = 234 SD = 6.1)

       Coefficient of Variation $=\frac{6.1}{234} X 100=0.03\%$

The data having lower coefficient of Variation is more consistent and vice - versa.

Exhibit A shows the least consistency in the age of the artifacts in the exhibit, because its mean is the lowest .

Answer 2

Exhibit A for sure, i'm pretty sure that right