Stats Chapter 3

8 September 2022
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question
A sociologist‚Äč says, "Typically, men in a certain country still earn more than‚Äč women." What does this statement‚Äč 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‚Äč ______ of a distribution of data.
answer
balancing point
question
The mean represents the typical value in a set of data for what type of‚Äč distribution?
answer
For distributions that are roughly symmetric
question
The‚Äč ______ is a number that measures how far away the typical observation is from the mean.
answer
standard deviation
question
In a‚Äč symmetric, unimodal‚Äč distribution, about‚Äč two-thirds of the observations are‚Äč where?
answer
Within one standard deviation of the mean
question
What are two measures of the center of a‚Äč 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‚Äč preferred?
answer
The mean is preferred when the data is relatively symmetric.
question
When a distribution is‚Äč skewed, the‚Äč _______ is used to measure the center and the‚Äč _______ is used to measure variation.
answer
median; interquartile range
question
The interquartile range tells us how much space the‚Äč _____ of the data occupy.
answer
middle 50%
question
When you are comparing two sets of‚Äč data, and one set is strongly skewed and the other is‚Äč symmetric, which measures of the center and variation should you choose for the‚Äč comparison?
answer
The medians and interquartile ranges
question
In a‚Äč right-skewed distribution, which of the following is‚Äč true?
answer
The mean tends to be greater than the median.
question
If the mean and the median of a distribution are approximately the‚Äč same, then the shape of the distribution is likely to be‚Äč _______.
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‚Äč value, we say the median is‚Äč _____ to outliers.
answer
resistant
question
In a‚Äč boxplot, the vertical line inside the box marks the location of the‚Äč _______.
answer
median
question
The length of the box in a boxplot is proportional to which of the‚Äč following?
answer
IQR
question
In a‚Äč boxplot, potential outliers are points that are more than‚Äč ___ IQRs from the edges of the box.
answer
1.5
question
In a‚Äč boxplot, the whiskers extend to which of the‚Äč following?
answer
To the most extreme values that are not potential outliers
question
What is the first step to do with potential‚Äč outliers? `
answer
investigate further
question
Boxplots are NOT recommended for use with which of the following types of‚Äč distributions?
answer
Bimodal or any multimodal distribution
question
Which of the following is NOT one of the five numbers needed to make a‚Äč boxplot? -Mean -Maximum -Q1 -Median
answer
mean
question
Which of the following can be used to compare values measured in different‚Äč units, such as inches and‚Äč 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‚Äč ______.
answer
median