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Solve: Measures of Central Tendency and Dispersion

1. How many intervals should there be in a frequency table?

2. What measure of central tendency would be most appropriate for a measurement of salaries if the salaries are normally distributed, why did you choose the measure that you did?

3. What measure of central tendency would be most appropriate for a measurement of salaries when there are a few people in the sample who make over one million dollars, but most of the employees sampled made under $50,000, why did you choose the measure that you did?

4. What measurement of central tendency is most appropriate if you want to measure gender?

5. What measure of central tendency is most sensitive to skewness and which is least sensitive?

6. What are measures of central tendency used for?

7. What are measures of dispersion used for?

8. Variance is the mean of what?

9. What is the difference between the variance and standard deviation of a distribution?

Solution Preview

1. There should be about 5 to 15 intervals.
2. Mean. Because mean is sensitive to outliers or extremes in data, whereas median and mode is not.
3. Median. Extreme values (outliers) do not affect the median as strongly as they do the mean.
4. Mode. Modes are often used for ...

Solution Summary

This solution contains some basic statistical explanations related to the measures of central tendency and measures of dispersion. This is all completed in under 200 words.

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