Answer:
c) 15.33
Step-by-step explanation:
lets find the mean first
mean = sum of the data values / number of data (n)
= 75 + 83 + 96 + 100 + 121 + 125 / 6
= 600/6
= 100
Next, let 'x' represent each data value and 'a' represent the the mean
now, calculate the deviation from each data point
75 - 100 = - 25
83 - 100 = -17
96 - 100 = - 4
100 - 100 = 0
121 - 100 = 21
125 - 100 = 25
Then, find the absolute value of each deviation and sum them up
that is | a - x |
| -25 | + | -17 | + | -4 | + | 0 | + | 21 | + | 25 |
= 25 + 17 + 4 + 0 + 21 + 25
= 92
now, calculate the mean of the absolute value
92/6 = 15.33
