Give approximate values for the medium and hte first and third quartiles. Which

Question

Give approximate values for the medium and hte first and third quartiles. Which plot did you use to find these values?

For these data, what is a better summary of the center of the distribution-mean or median? Why?

For these data, which is a better summary of the spread of the distribution- standard deviation or IQR? Why?

The standard deviation of the data set was found to be around $28,000. Interpret this value in the context of the problem.

ot and histogram of 2009 professor's salaries at a college in the US; - ---------- T Ali O A 100000 150000 200000 50000 100000 150000 200000 Salary Salary

Explanation / Answer

Median is approximately equal to 110000.

The first quartile is approxiamtely 90000.

The third quartile is approximately 140000.

You need to use box plot for median first quartile and third quartile.

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Since data is skewed to right so a better summary of the center of the distribution is median.

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Since data is skewed to right so a better summary of the spread of the distribution is IQR.

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Standard deviation gives a measure of spread of the distribution. That is shows that how much data points are far from mean. Here standard deviation is $28000. It is large SD. It shows that data values are not very close to mean.

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