Answer :
Answer:
Step-by-step explanation:
To find the range and mean absolute deviation for the given data set {10, 7, 13, 10, 8}, let's first calculate the range and then the mean absolute deviation (MAD).
Range:
Range is the difference between the maximum and minimum values in the data set.
Max value = 13
Min value = 7
Range = Max value - Min value
Range = 13 - 7
Range = 6
Mean Absolute Deviation (MAD):
MAD is the average of the absolute differences between each data point and the mean of the data set.
First, let's find the mean (average) of the data set:
Mean = (10 + 7 + 13 + 10 + 8) / 5
Mean = 48 / 5
Mean = 9.6
Next, let's calculate the absolute deviations for each data point from the mean:
|10 - 9.6| = 0.4
|7 - 9.6| = 2.6
|13 - 9.6| = 3.4
|10 - 9.6| = 0.4
|8 - 9.6| = 1.6
Now, let's find the average of these absolute deviations:
MAD = (0.4 + 2.6 + 3.4 + 0.4 + 1.6) / 5
MAD = 8.4 / 5
MAD = 1.68
So, the range of the data set is 6 and the mean absolute deviation is approximately 1.68.
