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.

Variance σ² having standard deviation 2.5 is 6.25.

Step-by-step explanation:

The standard deviation is basically the square root of the variance.

So, if want to find the variance of the data we simply take square of standard deviation to get the variance of data.

standard deviation = σ = 2.5

taking square on both sides

(σ)² = (2.5)²

σ² = 6.25

So, variance σ² having standard deviation 2.5 is 6.25.