Ms. Johnson uses a statistics program to analyze all the data collected by her students during a lab experiment about 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. 2.5b. 5.6c. 1.6d. 6.3

Answer: d. 6.3Step-by-step explanation:Given : Ms. Johnson uses a statistics program to analyze all the data collected by her students during a lab experiment about acceleration due to gravity. The program reports a mean [tex]\mu=31.5[/tex] and a standard deviation [tex]\sigma=2.5[/tex]We know that the variance is the square of the standard deviation.So , the variance of the data will be :-[tex]\text{Variance}=\sigma^2=(2.5)^2=6.25\approx6.3[/tex]Hence, the variance of the data =6.3