Question

What is the standard deviation round to three decimal places on the following data set given that is a sample?

2,4,7,9,99,14,23,35?
A.33.266
B.32.285
C.34.889
D. 31.081

Answer 1

The standard deviation of the given data set is 9.937.

Step-by-step explanation:

The standard deviation of a sample can be calculated by following these steps:

1. Calculate the mean of the data set which is (2 + 4 + 7 + 9 + 99 + 14 + 23 + 35)/8 = 18.75
2. Subtract the mean from each data point and square the result. For example, (2 - 18.75)^2 = 314.08.
3. Find the average of the squared differences which is the sample variance: (314.08 + 240.68 + 132.08 + 78.08 + 3356.68 + 14.08 + 22.68 + 271.58)/7 = 691.35/7 = 98.7643.
4. Take the square root of the sample variance to find the standard deviation: sqrt(98.7643) = 9.9374.
5. Rounding the standard deviation to three decimal places gives us: 9.937.