Below are the distances that each of Davi the Dragon Keeper's four dragons can blow fire (in meters). A rectangle made up by four identical rectangles. They make up 4 columns and 1 row. The row values are as follows: 109, 21, 103, 1 and 101. A rectangle made up by four identical rectangles. They make up 4 columns and 1 row. The row values are as follows: 109, 21, 103, 1 and 101. Find the mean absolute deviation (MAD) of the data set.
Q. Below are the distances that each of Davi the Dragon Keeper's four dragons can blow fire (in meters). A rectangle made up by four identical rectangles. They make up 4 columns and 1 row. The row values are as follows: 109, 21, 103, 1 and 101. A rectangle made up by four identical rectangles. They make up 4 columns and 1 row. The row values are as follows: 109, 21, 103, 1 and 101. Find the mean absolute deviation (MAD) of the data set.
Convert to common unit: Convert all distances to a common unit (meters) and list them:- 9 tenths = 0.9 meters- 1 half = 0.5 meters- 3 tenths = 0.3 meters- 1 and 1 tenth = 1.1 meters
Calculate mean: Calculate the mean (average) of these distances:Mean = (0.9+0.5+0.3+1.1)/4Mean = 2.8/4Mean = 0.7 meters
Calculate absolute deviations: Calculate the absolute deviations from the mean for each distance:- ∣0.9−0.7∣=0.2- ∣0.5−0.7∣=0.2- ∣0.3−0.7∣=0.4- ∣1.1−0.7∣=0.4
Calculate mean of deviations: Calculate the mean of these absolute deviations:MAD = (0.2+0.2+0.4+0.4)/4MAD = 1.2/4MAD = 0.3 meters
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