Spread Center Outliers Comparing

Data was collected on the industrial energy consumption per capita (in million BTUs) for all the states. A summary of the data is shown in the table. Complete this sentence: 50% of the states consumed more than ___ million BTUs per capita.

The National Longitudinal Survey records the heights of a representative sample of youths aged 14 to 20. The histograms show data for the heights of males and females. If you were comparing the heights of males and females, which measures of center and spread would you use?

• Since both distributions are symmetric, the mean and standard deviation should be used as the measures of center and spread.

• Since one of these distributions is not symmetric, the median and IQR should be used as the measures of center and spread.

The boxplot shows the poverty rates (the proportion of the population below the government's official poverty level) for the 50 states and the District of Columbia. The regions are the West (W), South (S), NE (Northeast), and MW (Midwest).'

Which of these lists the regions from highest to lowest poverty rate?

• W, S, NE, MW

• NE, MW, S, W

• MW, NE, W, S

• S, W, NE, MW

The boxplot shows the poverty rates (the proportion of the population below the government's official poverty level) for the 50 states and the District of Columbia. The regions are the West (W), South (S), NE (Northeast), and MW (Midwest). Which of these lists the regions from lowest to highest IQR?

• W, S, NE, MW

• NE, S, MW, W

• MW, NE, W, S

• S, W, NE, MW

The boxplot shows the poverty rates (the proportion of the population below the government's official poverty level) for the 50 states and the District of Columbia. The regions are the West (W), South (S), NE (Northeast), and MW (Midwest).'

Which region has a state with an unusually low or an unusually high poverty rate?

• W

• S

• NE

• MW

The boxplot shows the poverty rates (the proportion of the population below the government's official poverty level) for the 50 states and the District of Columbia. The regions are the West (W), South (S), NE (Northeast), and MW (Midwest).'

Which region has the least variability in poverty rate?

• W

• S

• NE

• MW

Which of the histograms could represent boxplot M?

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Which of the histograms could represent boxplot P?

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A summary of data collected on gas taxes for each of the 50 states and the District of Columbia is shown in the table. Should the maximum and minimum values of this data set be considered potential outliers?

• The minimum should be considered a potential outlier because it is more than 1.5 IQRs below Q1.

• The maximum should be considered a potential outlier because it is more than 1.5 IQRs above Q3.

• Both the minimum and the maximum should be considered potential outliers.

• Neither the minimum nor the maximum should be considered potential outliers.

Data was collected on the industrial energy consumption per capita (in million BTUs) for all the states. A summary of the data is shown in the table. What percentage of the states consumed fewer than 47.1 million BTUs per capita? (Enter your answer as a percentage.)