Question

Use the table to answer the question.

Find the standard deviation of the data set, rounded to the nearest hundredth.

(2 points)
This table displays data points with their differences and squared values.
Data Point 15 18 11 17 14
Difference ____, 3, _____, 2, _____,−1
Squared 0, 9, ____, 4, 1
The standard deviation of the dataset is ___
.

Answer 1

Mean = 15, so the differences are 0, 3, −4, 2, −1 and the squared differences are 0, 9, 16, 4, 1.

Variance = (0+9+16+4+1)/5 = 30/5 = 6.
Standard deviation = sqrt(6) ≈ 2.45.

Answer: 2.45.