39 Questions
Which measure of central tendency is most affected by outliers?
Mean
What is the correct step to calculate the median?
Sort the data set and identify the middle value
What is the purpose of step 5 in summarizing data?
To assess the measures in the context of the data set
Which of the following is NOT a step in summarizing data?
Plot a histogram
Why is the median a better measure of central tendency than the mean in certain cases?
Because it is less affected by outliers
What is the formula for calculating the mean of a data set?
Mean = ∑values / number of values
Which measure of central tendency is most affected by outliers?
Mean
What is the purpose of the median in a data set?
To provide a central value that is not affected by outliers
When should the median be used instead of the mean?
When the data set is skewed or has outliers
What is the range of a data set?
The difference between the highest and lowest values
What is the limitation of the range in a data set?
It is misleading if there are outliers
Which measure of central tendency is suitable for categorical data?
Mode
What is the definition of an outlier in a data set?
An extreme value that differs significantly from other values
What is the primary advantage of using the median over the mean in certain situations?
It provides a more accurate representation of the data when there are outliers
Which step in summarizing data involves identifying the most frequently occurring value?
Identify the Mode
What is the primary purpose of step 1 in summarizing data?
To calculate the average value of the data set
Why is the range a limited measure of the spread of a data set?
Because it is sensitive to outliers
What is the primary reason to use the median instead of the mean in a data set?
To avoid the influence of extreme outliers on the calculation
What is the final step in the data summarization process?
Compare the Measures
Which measure of central tendency is sensitive to the presence of extreme values in a data set?
Mean
What is the main limitation of the range as a measure of spread?
It is sensitive to outliers
When is the mode the most useful measure of central tendency?
When the data is categorical
What is the purpose of calculating the mean, median, and mode?
To understand the distribution of a data set
Which of the following is a characteristic of the median?
It is resistant to outliers
What is the primary advantage of using the median over the mean?
It is less affected by outliers
When would the range be a suitable measure of spread?
When the data set has no outliers
What is the primary reason to compare the mean, median, and mode in a data set?
To determine the measure of central tendency that best represents the data.
What is the consequence of using the range to describe the spread of a data set with outliers?
It yields a misleadingly large value for the spread.
In which situation would it be inappropriate to use the mean as a measure of central tendency?
When the data set contains outliers.
What is the primary advantage of using the median instead of the mean in certain situations?
It is less affected by outliers.
What is the ultimate goal of summarizing a data set?
To choose the measure of central tendency that best represents the data.
What is the primary reason why the median is a more robust measure of central tendency compared to the mean?
Because it is less affected by extreme values
Under what circumstances would the mode be a suitable measure of central tendency?
When the data set is categorical
What is the main limitation of the range as a measure of spread?
It is sensitive to extreme values
When would the mean be a suitable measure of central tendency?
When the data set has no extreme outliers and the values are relatively evenly distributed
What is the primary reason why the range is not a robust measure of spread?
It is sensitive to extreme values
What is the main advantage of using the median over the mean?
It is less affected by extreme values
What is the primary characteristic of an outlier in a data set?
It is an extreme value that differs significantly from other values
What is the main purpose of calculating measures of central tendency and spread?
To summarize and understand the characteristics of a data set
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