Comparing Distributions and Finding Outliers

The data below shows the scores of two groups of ten students on a math quiz and a science quiz.

Math: 72, 92, 88, 67, 54, 58, 64, 76, 65, 72

Science: 84, 78, 56, 89, 54, 68, 75, 78, 84, 60

Based on the data, which statements are true?

• The median score was greater for math, but the variability was greater for science.

• The median score was greater for science, but the variability was greater for math.

• Both the median score and variability for the math scores are less than that of the science scores.

• Both the median score and variability of the math scores are greater than that of the science scores.

• The range for science is less than the range for math.

The box and whisker plots below, illustrate the scores earned by 2 biology classes on a recent test. Select all statements that are supported by the plots above.

• The range of the 3^rd period scores is less than the range of the 5^th period scores.

• The median of the 5^th period scores is greater than the median of the 3^rd period scores.

• The number of students who took the test is larger in the 5^th period class than in the 3^rd period class.

• The interquartile range is the same for both classes.

• The 3^rd period class has a higher median but has a lower range than the 5^th period class.

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

The top seven movies based on DC comic book characters for the U.S. box office as of fall 2017 are shown in the table, rounded to the nearest hundred million.

Find the IQR.

(Enter your answer as a number only, do not include units.)

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.)

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.

What measures of center and spread should be used to describe the distribution?

• Since the distribution is skewed, the mean and standard deviation should be used as the measures of center and spread.

• Since the distribution is skewed, the mean and IQR should be used as the measures of center and spread.

• Since the distribution is skewed, the median and standard deviation should be used as the measures of center and spread.

• Since the distribution is skewed, 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