A commuter travels many kilometres to work each morning.She has timed this trip 5 times during the last month.The time (in minutes)required to make this trip was 44, 39, 41, 35, and 41.The mean time required for this trip was 40 minutes.What is the mean absolute deviation for this sample data?
A)0
B)12
C)3
D)2.4
E)1.2

Question

Quizplus · Accepted Answer

The formula for mean absolute deviation is:

Mean Absolute Deviation = (1/n) * Σ| xi - x̄|

Where:
n = sample size
Σ = sum of
xi = each individual data point
x̄ = mean of the data points

Using the formula:

Mean Absolute Deviation = (1/5) * |44-40| + |39-40| + |41-40| + |35-40| + |41-40|
Mean Absolute Deviation = (1/5) * 9 + 1 + 1 + 5 + 1
Mean Absolute Deviation = 2.4

Therefore, the answer is D) 2.4.

A Commuter Travels Many Kilometres to Work Each Morning