Question

what is the mean of the times? mean = 14 minutes mean absolute deviation (mad) describes how spread out a data set is. to find the mad, find the distance of each data value from 14. then find the average of the distances. what is the mad of the times? you can use a calculator to help. mad = minutes code quest: monday’s test time (min)

Explanation:

Step1: Identify data values

The data values from the dot - plot are 10, 13, 13, 15, 19.

Step2: Calculate absolute deviations from the mean

For 10: $|10 - 14|=4$; for 13: $|13 - 14| = 1$ (twice); for 15: $|15 - 14|=1$; for 19: $|19 - 14| = 5$.

Step3: Calculate the sum of absolute deviations

$4+1 + 1+1+5=12$.

Step4: Calculate the MAD

There are 5 data values. So, $MAD=\frac{12}{5}=2.4\approx2$ (rounded to the nearest whole number).

Answer:

2