Calculate the mean deviation for the numbers: 75, 83, 96, 100, 121 and 125 A 14.33 B 15 C 15.33 D 16

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