Stats Chapter 3

8 September 2022
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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
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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
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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?
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Median and mean
question
Under what conditions is the median preferred
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The median is preferred when the data is strongly skewed or has outliers.
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Under what conditions is the mean​ preferred?
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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
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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.
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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​ _______.
answer
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.
answer
resistant
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In a​ boxplot, the vertical line inside the box marks the location of the​ _______.
answer
median
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The length of the box in a boxplot is proportional to which of the​ following?
answer
IQR
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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