Question

What is the sample standard deviation of the following numbers? 8, 4, 7, 3, 9 Select one:

a. 2.59
b. 6.70
c. 2.32
d. 5.28

Answer 1

The sample standard deviation of the given numbers is approximately 2.11.

Step-by-step explanation:

The sample standard deviation is a measure of the spread or variability of a set of numbers. To calculate the sample standard deviation, follow these steps:

1. Find the sample mean by adding up all the numbers and dividing by the total number of numbers. For these numbers, the mean is (8 + 4 + 7 + 3 + 9) / 5 = 5.8.
2. Subtract the mean from each number and square the result. For example, (8 - 5.8)^2 = 5.44.
3. Find the average of the squared differences by adding them up and dividing by the total number of numbers minus one. For these numbers, the sum of squared differences is (5.44 + 0.64 + 1.44 + 3.24 + 10.24) / 4 = 4.45.
4. Take the square root of the average to find the sample standard deviation. The square root of 4.45 is approximately 2.11.

Therefore, the sample standard deviation of the given numbers is approximately 2.11. None of the options provided match this value, so the correct answer is none of the above.