Final answer:
The mean of the set (13, 15, 9, 35, 25) is 19.4, the Mean Absolute Deviation (MAD) is 8.48, and the range is 26.
Step-by-step explanation:
Calculating Mean, MAD, and Range
To find the mean of the set (13, 15, 9, 35, 25), add all numbers and divide by the number of elements:
Mean = (13 + 15 + 9 + 35 + 25) / 5 = 97 / 5 = 19.4
To calculate the Mean Absolute Deviation (MAD), find the absolute differences between each data point and the mean, then calculate the average of those differences:
MAD = (|13 - 19.4| + |15 - 19.4| + |9 - 19.4| + |35 - 19.4| + |25 - 19.4|) / 5
= (6.4 + 4.4 + 10.4 + 15.6 + 5.6) / 5
= 42.4 / 5
= 8.48
The range is the difference between the highest and lowest value within the set:
Range = 35 - 9 = 26