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Chapter 3: Q. 2 (page 150)

Identify the two most commonly used measures of center for

quantitative data. Explain the relative advantages and disadvantages

of each.

Short Answer

Expert verified

The two most commonly used measures of center for quantitative data is mean and median.

The median is not sensitive to extreme data while the mean is sensitive.

When the data set is qualitative, neither the mean nor the median is adequate to measure the center.

Step by step solution

01

Part a. Two most common measures of center

Mean and Median are two most commonly used measures of center for quantitative data.

02

Part b. Merits and Demerits of Mean and Median.

The median is not sensitive to extreme data while the mean is sensitive.

For extreme observation, the median is selected over the mean.

When the data is qualitative, it is impossible to add or divide the values.

When the data is qualitative, it is impossible to assign a numerical order to the data set. If data is qualitative, the median is not an acceptable metric.

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Most popular questions from this chapter

We have provided simple data set for you to practices the basics of finding measures of center. For each data set determine the:

a) Mean

b)Median

c) Mode.

The given data set is:1,9,8,4,3.

The Etruscans. Anthropologists are still trying to unravel the mystery of the origins of the Etruscan empire, a highly advanced Italic civilization formed around the eighth century B.C. in central Italy. Were they native to the Italian peninsula or, as many aspects of their civilization suggest, did they migrate from the East by land or sea? The maximum head breadth, in millimeters, of 70modern Italian male skulls and that of 84preserved Etruscan male skulls were analyzed to help researchers decide whether the Etruscans were native to Italy. The resulting data can be found on the WeissStats site. [SOURCE: N. Barnicot and D. Brothwell, "The Evaluation of Metrical Data in the Comparison of Ancient and Modern Bones." In Medical Biology and Etruscan Origins, G. Wolstenholme and C. O'Connor, cds., Littlc, Brown \& Co., 1959]

Apply Chebyshev's rule with k=5and interpret your answer.

Identify a use of lower and upper limits.

We have provided simple data set for you to practices the basics of finding measures of center. For each data set determine the:

a) Mean

b)Median

c) Mode.

The given data set is3,5,7
See all solutions

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