Which of the following statements describes the mean of a data set?Group of answer choicesA. The mean is a measure of spread.B. The mean is a measure of central location, defined as the middle value in a sorted set of data.C. The mean is a measure of central location, calculated by summing all observations in a data set divided by the number of observations in the data set.D. The mean is a measure of central location, defined as the observation in a data set with the highest frequency.Mean may not be a best measure of central location if data are are skewed.
Question
Which of the following statements describes the mean of a data set?Group of answer choicesA. The mean is a measure of spread.B. The mean is a measure of central location, defined as the middle value in a sorted set of data.C. The mean is a measure of central location, calculated by summing all observations in a data set divided by the number of observations in the data set.D. The mean is a measure of central location, defined as the observation in a data set with the highest frequency.Mean may not be a best measure of central location if data are are skewed.
Solution
The correct answer is C. The mean is a measure of central location, calculated by summing all observations in a data set divided by the number of observations in the data set.
Here's why:
A. The mean is not a measure of spread. Measures of spread include range, interquartile range, variance, and standard deviation.
B. The description given here is actually for the median, not the mean. The median is the middle value in a sorted set of data.
C. This is the correct definition of the mean. It's calculated by summing all the observations in a data set and then dividing by the number of observations.
D. The description given here is for the mode, not the mean. The mode is the observation in a data set with the highest frequency.
The last statement is correct. The mean may not be the best measure of central location if the data are skewed because it can be influenced by extreme values. In such cases, the median might be a better measure.
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How do you calculate the mean of a dataset?
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