Ms. Johnson uses a statistics program to analyze all the data collected by her students during a lab experiment about the acceleration due to gravity. The program reports a mean of 31.5 and a standard deviation of 2.5. What is the variance of the data? Round to the nearest tenth. A. 2.5 B. 5.6 C. 1.6 D. 6.3
Accepted Solution
A:
The variance (σ^2) is the square of the differences between the mean and each data. The problem says that the program reports a mean of 31.5 and a standard deviation of 2.5, so you have to elevate the standar deviation to the power 2:
σ^2 = (2.5)^2 σ^2 = 6.30
What is the variance of the data? The variance of the data is 6.30, so the the correct option is D.