Question

Find the standard deviation of the following data. Round to the nearest 10th if needed: 11, 16, 18, 33, 25, 29.

a) 6.7
b) 7.5
c) 7.9
d) 8.2

Answer 1

To find the standard deviation of the given data, calculate the mean, subtract the mean from each number, square the result, sum the squares, divide by the total count, and take the square root. The standard deviation of the given data is 8.2.

Step-by-step explanation:

To find the standard deviation of the given data, follow these steps:

1. Find the mean by adding up all the numbers and dividing by the total count. In this case, the mean is (11+16+18+33+25+29) / 6 = 21.7
2. Subtract the mean from each number, square the result, and add up all the squares. (11-21.7)^2 + (16-21.7)^2 + (18-21.7)^2 + (33-21.7)^2 + (25-21.7)^2 + (29-21.7)^2 = 671.6
3. Divide the sum of squares by the total count and take the square root. Divide 671.6 by 6 and take the square root, which gives you 8.2 (rounded to the nearest 10th)

Therefore, the standard deviation of the given data is 8.2 (option d).