Categorical and Quantitative Analysis

A February 2017 Gallup Poll question asked, "In politics, as of today, do you consider yourself a Republican, A Democrat or an Independent?" The possible responses were "Democrat", "Republican", "Independent", "Other" and "No Reponse". What kind of variable is the response?

• algebraic

• quantitative

• categorical

• other

• no response

What percent of the class is male?

• 60

• 58

• 62

• 85

The histogram shows the sizes (in acres) of 36 vineyards in the Finger Lakes region of New York. Approximately what percentage of these vineyards are under 60 acres?

• 13

• 4

• 21

• 28

Given the following histogram, describe the distribution

• skewed left with the mode as the center and possible outlier near 240

• uniform with the mean as the center and no potential outliers

• symmetric with the median as the center and no potential outliers

• skewed right with the center as the median and a potential outlier near 240

A specialty foods company sells "gourmet hams" by mail order. The hams very in size from 4.15 to 7.45 pounds, with a mean weight of 6 pounds and standard deviation of 0.65 pounds. Interpret the meaning of the standard deviation in context of the problem

• the hams vary in weight by 0.65 pounds

• the hams water weight is 0.65 pounds

• the average hams weight varies 0.65 pounds from the mean weight

• the average hams weight varies 0.65 pounds from 4.15 and 7.45 pounds.

Here are the summary statistics for the weekly payroll of a small company: lowest salary = $300, mean salary = $700, median = $500, first quartile = $350 and the third quartile = $950. What salary value would be considered an outlier?

• $1,900

• $1,800

• $1,700

• $1,600

Which of the following is not a way to measure variability for a data distribution?

• standard deviation

• interquartile range

• outliers

• range

Given the following summary, what is the interquartile range (IQR) for the summary of sales?

• 2

• 45

• 8.5

• 5.5

One measure of the size of an automobile engine is its "displacement" the total volume (in liters or cubic inches) of its cylinders. Summary statistics for several models of new cars are shown and measures in cubic inches. Interpret the standard deviation in context of the problem.

• the variability for the volume of cylinders is extremely high

• about 88% of the new cars have 177 cubic inches in the cylinders

• 88.88 is the average distance from the mean.

• the average volume of cylinders in a car varies by 88.88 cubic inches from the mean.

Which summary statistics would you choose to summarize the center and spread in these data?

• symmetric - mean

• skewed left - mean

• symmetric - median

• skewed right - median