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When using the mean: the variance or standard deviation.

When using the median: the range or inter-quartile range.

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Q: Which measure of variation is appropriate when using the mean and which is appropriate when using the median?
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Which measure of variation is appropriate when using the mean?

The variance or standard deviation.


What are the criteria for choosing measure of central tendency and measure of variation?

Central tendency is measured by using the mean, median and mode of a set of numbers. Variation is measured by using the range, variance and standard deviation of a set of numbers.


What is an advantage of using the range as a measure of variation?

It is simple to calculate.


Why do you need to measure physical quantities and express them using the appropriate units?

to know what is the measure


What is an advantage to using the median when examining a set of data?

The median or mode should be used instead of the mean in distributions with extreme outliers. In such cases, the mean can be a misleading measure of central tendency and the median value or the mode value are typically more accurate measures.


How do you calculate the median using Excel?

The median can be calculated using the Median function. Assuming the values you wanted the median of were in cells B2 to B20, you could use the function like this: =MEDIAN(B2:B20)


Would you measure a swimming pool using kilometers?

Not normally because meters would be more appropriate


How do you get the answer using median?

Put all the numbers in order and the median is the number that is in the middle!


What is the appropriate unit to measure dressing on salad?

Salad dressing is commonly measured using a tablespoon-size measuring spoon.


How do you calculate standard deviation using median?

You cannot because the standard deviation is not related to the median.


What are disadvantages of median?

One disadvantage of using the median is that it may not accurately represent the entire dataset if there are extreme outliers present, as the median is not influenced by the magnitude of these outliers. Additionally, the median may not be as intuitive to interpret as the mean for some individuals, as it does not provide a direct measure of the total value of the dataset. Finally, calculating the median can be more computationally intensive compared to other measures of central tendency, especially with large datasets.


How do you find the best measure of central tendency when using outliers?

A weighted mean is probably best. Certainly better than a median which throws away information from most of the observations.