Question

find the mean absolute deviation
15, 17, 15, 17, 21, 17, 15, 23, 20, 18
data\tmean\tdifference\tpositive value

Explanation:

Step1: Calculate the mean

Sum of data: $15+17+15+17+21+17+15+23+20+18=180$
Mean: $\frac{180}{10}=18$

Step2: Find absolute differences

Compute $|data - mean|$ for each value:
$|15-18|=3$, $|17-18|=1$, $|15-18|=3$, $|17-18|=1$, $|21-18|=3$, $|17-18|=1$, $|15-18|=3$, $|23-18|=5$, $|20-18|=2$, $|18-18|=0$

Step3: Calculate MAD

Sum of absolute differences: $3+1+3+1+3+1+3+5+2+0=22$
MAD: $\frac{22}{10}=2.2$

Answer:

2.2