Answer:
13.27
Explanation:
1. Find the mean (average):
(sum of data set)/(count of data)
9+12+15+9+45+6=96
96/6=16
2. For each data point, find the square of the distance to the mean. Remember to take the absolute value of the distance.
9-16=-7 absolute value: 7 squared:49
12-16=-4 absolute value: 4 squared: 16
15-16=-1 absolute value: 1 squared: 1
45-16= 29 absolute value: 29 squared: 841
6-16=-10 absolute value: 10 squared: 100
3. Take the sum of the number from step 2.
49+16+1+49+841+100=1056
4. Divide the sum by the count of data points.
1056/6=176
5. Take the square root.
Round the number to the nearest hundredth to get 13.27.