Question

Hui recorded the temperature at the same time each day for one month. He found that the MAD for his data set was 4.3.

Use this information to select all the true statements about the temperatures that Hui recorded.

A. The lowest temperature varied only 4.3 degrees from the mean.

B. On most days, the temperature varied about 4.3 degrees from the mean

C. No temperature varied more than 4.3 degrees from the mean.

D. The highest temperature varied about 4.3 degrees from the lowest temperature

O

E. Temperatures generally increased or decreased by about 4.3 degrees from the mean.

Answer 1

Answer:

A. The lowest temperature varied only 4.3 degrees from the mean.

C. No temperature varied more than 4.3 degrees from the mean.

E. Temperatures generally increased or decreased by about 4.3 degrees from the mean.

Step-by-step explanation:

The mean absolute deviation (MAD) is a measure of variation of the average distance between each data value and mean of a data set. It describes  the variability of values with respect to mean of a given data set.

MAD can be determined by first calculating the mean of the data, find the sum of absolute value of the difference between each datum and the mean. Then divide this sum by the number of datum of the given data.

With Hui;s record and MAD for his data set, he would be able to describe the varations between the mean and each datum.