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Questions and Answers
Which measure of central tendency includes every value in the data set as part of the calculation?
Which measure of central tendency includes every value in the data set as part of the calculation?
- Mean (correct)
- Standard Deviation
- Median
- Mode
Which measure of central tendency minimizes the error in the prediction of any one value in the data set?
Which measure of central tendency minimizes the error in the prediction of any one value in the data set?
- Median
- Standard Deviation
- Mean (correct)
- Mode
Which measure of central tendency is the value that is most common in the data set?
Which measure of central tendency is the value that is most common in the data set?
- Mean
- Mode (correct)
- Median
- Standard Deviation
Which measure of central tendency produces the lowest amount of error from all other values in the data set?
Which measure of central tendency produces the lowest amount of error from all other values in the data set?
Which measure of central tendency is the value that is in the middle of the data set when the data is arranged in ascending or descending order?
Which measure of central tendency is the value that is in the middle of the data set when the data is arranged in ascending or descending order?
Which measure of statistical dispersion is a nonnegative real number that is zero if all the data are the same and increases as the data become more diverse?
Which measure of statistical dispersion is a nonnegative real number that is zero if all the data are the same and increases as the data become more diverse?
Which measure of statistical dispersion has the same units as the quantity being measured?
Which measure of statistical dispersion has the same units as the quantity being measured?
Which measure of statistical dispersion is a range that includes the middle 50% of the data when the data is arranged in ascending order?
Which measure of statistical dispersion is a range that includes the middle 50% of the data when the data is arranged in ascending order?
Which measure of statistical dispersion is the average of the absolute differences from the mean?
Which measure of statistical dispersion is the average of the absolute differences from the mean?
Which measure of statistical dispersion is a measure of how spread out the values in a data set are?
Which measure of statistical dispersion is a measure of how spread out the values in a data set are?
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Study Notes
Measures of Central Tendency
- The mean includes every value in the data set as part of the calculation.
- The mean minimizes the error in the prediction of any one value in the data set.
- The mode is the value that is most common in the data set.
- The median is the value that is in the middle of the data set when the data is arranged in ascending or descending order.
- The median produces the lowest amount of error from all other values in the data set.
Measures of Statistical Dispersion
- The variance is a nonnegative real number that is zero if all the data are the same and increases as the data become more diverse.
- The range has the same units as the quantity being measured.
- The interquartile range (IQR) is a range that includes the middle 50% of the data when the data is arranged in ascending order.
- The mean absolute deviation (MAD) is the average of the absolute differences from the mean.
- The measures of statistical dispersion (such as variance, range, IQR, and MAD) are measures of how spread out the values in a data set are.
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