Question

question 2 (2 points)
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

1. what is the mean? cm
2. what is the mad? cm

blank 1:
blank 2:

Explanation:

Step1: Calculate the sum of data

$13 + 14+14 + 16+16+16+16+18+18+19=158$

Step2: Calculate the mean

The number of data points $n = 10$. Mean $\bar{x}=\frac{158}{10}=15.8$ cm

Step3: Calculate the absolute - deviation of each data point

$|13 - 15.8|=2.8$, $|14 - 15.8| = 1.8$, $|14 - 15.8| = 1.8$, $|16 - 15.8| = 0.2$, $|16 - 15.8| = 0.2$, $|16 - 15.8| = 0.2$, $|16 - 15.8| = 0.2$, $|18 - 15.8| = 2.2$, $|18 - 15.8| = 2.2$, $|19 - 15.8| = 3.2$

Step4: Calculate the sum of absolute - deviations

$2.8+1.8 + 1.8+0.2+0.2+0.2+0.2+2.2+2.2+3.2 = 14.8$

Step5: Calculate the MAD

$MAD=\frac{14.8}{10}=1.48$ cm

Answer:

Blank 1: $15.8$
Blank 2: $1.48$