question

A sociologist says, "Typically, men in a certain country still earn more than women." What does this statement mean?

answer

The center of the distribution of salaries for men in the country is greater than the center for women.

question

Median

answer

13, 13, 13, 13, 14, 14, 16, 18, 21

question

The mean of a collection of data is located at the ______ of a distribution of data.

answer

balancing point

question

The mean represents the typical value in a set of data for what type of distribution?

answer

For distributions that are roughly symmetric

question

The ______ is a number that measures how far away the typical observation is from the mean.

answer

standard deviation

question

In a symmetric, unimodal distribution, about two-thirds of the observations are where?

answer

Within one standard deviation of the mean

question

What are two measures of the center of a distribution?

answer

Median and mean

question

Under what conditions is the median preferred

answer

The median is preferred when the data is strongly skewed or has outliers.

question

Under what conditions is the mean preferred?

answer

The mean is preferred when the data is relatively symmetric.

question

When a distribution is skewed, the _______ is used to measure the center and the _______ is used to measure variation.

answer

median; interquartile range

question

The interquartile range tells us how much space the _____ of the data occupy.

answer

middle 50%

question

When you are comparing two sets of data, and one set is strongly skewed and the other is symmetric, which measures of the center and variation should you choose for the comparison?

answer

The medians and interquartile ranges

question

In a right-skewed distribution, which of the following is true?

answer

The mean tends to be greater than the median.

question

If the mean and the median of a distribution are approximately the same, then the shape of the distribution is likely to be _______.

answer

symmetric

question

Because the median is not affected by the size of an outlier and does not change even if a particular outlier is replaced by an even more extreme value, we say the median is _____ to outliers.

answer

resistant

question

In a boxplot, the vertical line inside the box marks the location of the _______.

answer

median

question

The length of the box in a boxplot is proportional to which of the following?

answer

IQR

question

In a boxplot, potential outliers are points that are more than ___ IQRs from the edges of the box.

answer

1.5

question

In a boxplot, the whiskers extend to which of the following?

answer

To the most extreme values that are not potential outliers

question

What is the first step to do with potential outliers? `

answer

investigate further

question

Boxplots are NOT recommended for use with which of the following types of distributions?

answer

Bimodal or any multimodal distribution

question

Which of the following is NOT one of the five numbers needed to make a boxplot?
-Mean
-Maximum
-Q1
-Median

answer

mean

question

Which of the following can be used to compare values measured in different units, such as inches and pounds?

answer

z-score

question

The value that would be right in the middle if you were to sort the data from smallest to largest is called the ______.

answer

median