Shown Below Are the Boxplot,the Histogram and Summary Statistics for the Highest

question 5

Multiple Choice

Shown below are the boxplot,the histogram and summary statistics for the highest temperatures ever recorded (in °F) in 32 different states in the U.S.A.. $$\begin{array} { c | c | c | c | c | c | c | c } \text { Count } & \text { Mean } & \text { Median } & \text { StdDev } & \text { Min } & \text { Max } & \text { Q1 } & \text { Q3 } \\\hline 32 & 114.2 & 114.5 & 7.7 & 100 & 134 & 107.5 & 118\end{array}$$ Write a few sentences describing the distribution.

• A)The distribution is bimodal,symmetric with a mean of 114.2°F.There is a high outlier that should be investigated.The standard deviation is 7.7°F.The boxplot shows that half of the time,the highest temperatures were between about 107.5°F and 114°F.
• B)The distribution is unimodal,symmetric enough with a mean of 114.2°F.There is a high outlier that should be investigated,but it does not influence the mean very much.The standard deviation is 7.7°F.The boxplot shows that half of the time,the highest temperatures were between about 107.5°F and 118°F.
• C)The distribution is bimodal,essentially symmetric with a mean of 114.2°F.There is a high outlier that should be investigated,but it does not influence the mean very much.The standard deviation is 7.7°F.The boxplot shows that half of the time,the highest temperature were between about 107.5°F and 118°F.
• D)The distribution is unimodal,essentially symmetric with a mean of 114.2°F.There is a high outlier that should be investigated,because it influences the mean.The standard deviation is 7.7°F.The boxplot shows that half of the time,the highest temperatures were between about 107.5°F and 114°F.
• E)The distribution is unimodal,essentially symmetric with a mean of 114.2°F.There is a high outlier that should be investigated,but it does not influence the mean very much.The standard deviation is 7.7°F.The boxplot shows that half of the time,the highest temperatures were between about 107.5°F and 114°F.

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Definitions:

Normal Distribution

A bell-shaped probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

Confidence Interval

A selection of statistics, from analyzing samples, anticipated to house the covertly valued population parameter.

Standard Deviation

A statistic that denotes the dispersion or variability of a dataset relative to its mean, indicating how spread out the data points are.

Margin of Error

A statistic expressing the amount of random sampling error in a survey's results, indicating how much you can expect the survey results to reflect the views of the overall population.