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Chapter 3: Q 3.37 (page 103)

a) Determine the mode of the data.
b) Decide whether it would be appropriate to use either the mean or median as a measure of center. Explain your answer.

U.S. Supreme Court Justices. From We found that the law schools of the justices of the US Supreme Court, as of September 9, 2011, are as follows

Short Answer

Expert verified

a) Harvard.

b) For the given data the mode is appropriate to use for the given data.

Reason: Here, the data set based on the law schools of the justices of the U.S. Supreme Court, which is not numerical. That is, the data set is qualitative data. Hence, the mean and median cannot calculate for the non numerical data. Thus, the mean and median would not be appropriate to use for the given data. Moreover, the mode would be appropriate to use for the qualitative data.

Step by step solution

01

Step 1. Given information. 

We have given data set based on the law schools of the justices .

02

Step 2. To find mode.  

The greatest frequency is the mode of the data set.

The mode of the data is Harvard.

03

Step 3. Decide either the mean or median as a measure of center. 

The mode would be appropriate to use for given data.

Reason: This data collection is based on the law schools of the Supreme Court judges, which is not numerical. That is, the data set is made up of qualitative information. As a result, the mean and median for non-numerical data cannot be calculated. As a result, the mean and median would be inappropriate for the data. In addition, the approach would be excellent for qualitative data.

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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.

A quantitative data set of size 200has mean 20and standard deviation 4. At least how many observations lie between8and32?

What is another name for the Empirical rule? Why is that name appropriate?

A quantitative data set of size150has mean 35 and standard deviation4. At least how many observations lie between 23and 47?

The cheetah (Acinonyx jubatus) is the fastest land mammal and is highly specialized to run down prey. The cheetah often exceeds speeds of 60miles per hour (mph) and. according to the online document "Cheetah Conservation in Southern Africa" by J. Urbaniak, the cheetah is capable of speeds up to 72mphThe following table gives the top speeds, in miles per hour, arranged in increasing order, for a sample of 35cheetahs.

The sample mean and sample standard deviation of these speeds are 59.53mphand 4.27mph, respectively. A histogram of the speeds is bell shaped.
a. Is it reasonable to apply the empirical rule to estimate the percentages of observations that lie within one, two, and three standard deviations to either side of the mean?
b. Use the empirical rule to estimate the percentages of observations that lie within one, two, and three standard deviations to either side of the mean.
c. Use the data to obtain the exact percentages of observations that lie within one, two, and three standard deviations to either side of the mean.
d. Compare your answers in parts (b) and (c).
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