Question

the data set represents the heights, in centimeters, of ten model bridges made for an engineering competition. {13,14,14,16,16,16,16,18,18,19} what is the mad? (mean absolute deviation)

Explanation:

Step1: Calculate the mean

The mean $\bar{x}=\frac{13 + 14+14+16+16+16+16+18+18+19}{10}=\frac{160}{10}=16$.

Step2: Calculate the absolute - deviations

$|13 - 16|=3$, $|14 - 16| = 2$, $|14 - 16| = 2$, $|16 - 16| = 0$, $|16 - 16| = 0$, $|16 - 16| = 0$, $|16 - 16| = 0$, $|18 - 16| = 2$, $|18 - 16| = 2$, $|19 - 16| = 3$.

Step3: Calculate the mean of the absolute - deviations

$MAD=\frac{3+2+2 + 0+0+0+0+2+2+3}{10}=\frac{14}{10}=1.4$.

Answer:

$1.4$