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When the data are skewed left, what is the typical relationship between the mean and median?

Short Answer

Expert verified

When the data are skewed to left, the median is greater than the mean.

Step by step solution

01

Given information

The data given is skewed left.

02

Explanation

In order to see the distribution of the data, we can use the below properties:

When Mean>Median>Mode, then the data is positively skewed.

when role="math" localid="1647959449052" Mean<Median<Mode, then the data is negatively skewed.

Therefore, in the case of left-skewed data, the mean is less than medium. Also, the relation between the mean ad median isMean<Median.

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Most popular questions from this chapter

Use the following information to answer the next three exercises: Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week. Fourteen people answered that they generally sell three cars; nineteen generally sell four cars; twelve generally sell five cars; nine generally sell six cars; eleven generally sell seven cars. Calculate the following:

median = _______

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Use the following information to answer the next six exercises. Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week. Fourteen people answered that they generally sell three cars; nineteen generally sell four cars; twelve generally sell five cars; nine generally sell six cars; eleven generally sell seven cars.

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Use the following information to answer the next six exercises. Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week. Fourteen people answered that they generally sell three cars; nineteen generally sell four cars; twelve generally sell five cars; nine generally sell six cars; eleven generally sell seven cars.

10thpercentile = _______

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