The dot plots below show the number of questions missed on a six-question quiz for two of Mr. Barker's classes.
The mean absolute deviation for each class is 1.4. The difference between the mode number of questions missed for each class is approximately how many times the mean absolute deviation?
A.
6
B.
5
C.
3
D.
2
C. 3
Explanation: The mean absolute deviation (MAD) is a measure of the dispersion of the data points in a data set. In this case, the MAD is 1.4 for both classes.
To find the difference between the mode number of questions missed for each class, we need to first identify the mode for each class. The mode is the data point that appears most frequently.
For the first class, the mode is 2 (as it appears the most number of times on the dot plot).
For the second class, the mode is 3 (as it appears the most number of times on the dot plot).
The difference between the modes is |3 - 2| = 1.
Since the MAD is 1.4 for both classes, and the difference between the modes is 1, the difference between the mode number of questions missed for each class is approximately 1.4/1 = 1.4 times the mean absolute deviation. This is closest to 1.5, which is between 1 and 2.
Therefore, the answer is approximately 2.