# Stats Chapter 3

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question
A sociologist​ says, "Typically, men in a certain country still earn more than​ women." What does this statement​ mean?
The center of the distribution of salaries for men in the country is greater than the center for women.
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Median
13, 13, 13, 13, 14, 14, 16, 18, 21
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The mean of a collection of data is located at the​ ______ of a distribution of data.
balancing point
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The mean represents the typical value in a set of data for what type of​ distribution?
For distributions that are roughly symmetric
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The​ ______ is a number that measures how far away the typical observation is from the mean.
standard deviation
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In a​ symmetric, unimodal​ distribution, about​ two-thirds of the observations are​ where?
Within one standard deviation of the mean
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What are two measures of the center of a​ distribution?
Median and mean
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Under what conditions is the median preferred
The median is preferred when the data is strongly skewed or has outliers.
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Under what conditions is the mean​ preferred?
The mean is preferred when the data is relatively symmetric.
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When a distribution is​ skewed, the​ _______ is used to measure the center and the​ _______ is used to measure variation.
median; interquartile range
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The interquartile range tells us how much space the​ _____ of the data occupy.
middle 50%
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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?
The medians and interquartile ranges
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In a​ right-skewed distribution, which of the following is​ true?
The mean tends to be greater than the median.
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If the mean and the median of a distribution are approximately the​ same, then the shape of the distribution is likely to be​ _______.
symmetric
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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.
resistant
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In a​ boxplot, the vertical line inside the box marks the location of the​ _______.
median
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The length of the box in a boxplot is proportional to which of the​ following?
IQR
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In a​ boxplot, potential outliers are points that are more than​ ___ IQRs from the edges of the box.
1.5
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In a​ boxplot, the whiskers extend to which of the​ following?
To the most extreme values that are not potential outliers
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What is the first step to do with potential​ outliers? `
investigate further
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Boxplots are NOT recommended for use with which of the following types of​ distributions?
Bimodal or any multimodal distribution
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Which of the following is NOT one of the five numbers needed to make a​ boxplot? -Mean -Maximum -Q1 -Median
mean
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Which of the following can be used to compare values measured in different​ units, such as inches and​ pounds?
z-score
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The value that would be right in the middle if you were to sort the data from smallest to largest is called the​ ______.