investigating data

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 $\overline{x} = 31.5$ and $\sigma = 2.5$.

what is the variance of the data? round to the nearest tenth.

5.6
6.3
1.6
2.5

Question

investigating data

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 $\overline{x} = 31.5$ and $\sigma = 2.5$.

what is the variance of the data? round to the nearest tenth.

5.6
6.3
1.6
2.5

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Variance Calculation" ], "new_concepts": [], "current_concepts": [ "Standard Deviation", "Variance Calculation" ] } ## Identify the given values $$ \begin{aligned} \bar{x} &= 31.5 \ \sigma &= 2.5 \end{aligned} $$ ## Apply the variance formula $$ \begin{aligned} \text{Variance} &= \sigma^2 \ \text{Variance} &= (2.5)^2 \ \text{Variance} &= 6.25 \end{aligned} $$ ## Round to the nearest tenth $$ \text{Variance} \approx 6.3 $$

5.6

6.3

1.6

2.5

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Statistics", "Variance Calculation" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the given values

Apply the variance formula

Round to the nearest tenth

Answer: