Answer:
The Variance will be 6.3.
Step-by-step explanation:
Note: You probably unintentionally missed to mention the standard deviation in your question. After a little research, it seem that standard deviation is 2.5 in your question that you should have mentioned in your question. Anyways, I am assuming the standard deviation as 2.5, and based on this, answering your question. It anyways will clear your concept, hopefully.
The complete version of Question:
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.
1.6 2.5 5.6 6.3
Solution:
As the standard deviation = σ = 2.5
As the know that Standard deviation (σ) is equal to the square root of the variance.
σ = [tex]\sqrt{v}[/tex]
Just take square of the standard deviation to get the variance.
(2.5)² = [tex](\sqrt{v})^{2}[/tex]
v = 6.25 ⇒ v = 6.3
Hence. the Variance will be 6.3.
Keywords: Variance, standard deviation
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