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Chapter 1: Q 71. (page 49)

You look at real estate ads for houses in Naples, Florida. There are many houses ranging from \(200,000to\)500,000in price. The few houses on the water, however, have prices up to $15million. The distribution of house prices will be

(a) skewed to the left.

(b) roughly symmetric.

(c) skewed to the right.

(d) unimodal.

(e) too high.

Short Answer

Expert verified

The correct option is (c) skewed to the right.

Step by step solution

01

Given information

Given data :

Houses are ranging from $200,000to$500,000

Houses on the water cost : $15million

02

Concept

A unimodal distribution is one with only one distinct peak. The values first rise to a single greatest point, after which they begin to fall. The mean, mode, and median of a symmetrical distribution are all the same. A skewed distribution is one that is not symmetrical.

03

Explanation

The residences range in price from $200,000 to $500,000, with only a couple near the water selling at more over $15 million. On the right, the extreme value ($15million) is shown. As a result, the distribution will be skewed to the right.

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Most popular questions from this chapter

Shopping spree A marketing consultant observed 50 consecutive shoppers at a supermarket. One variable of interest was how much each shopper spent in the store. Here are the data (in dollars), arranged in

increasing order:

(a) Round each amount to the nearest dollar. Then make a stem 50plot using tens of dollars as the stems and dollars as the leaves.

(b) Make another stem plot of the data by splitting stems. Which of the plots shows the shape of the distribution better?

(c) Write a few sentences describing the amount of money spent by shoppers at this supermarket.

Where do the young live? Below is a stem plot of the percent of residents aged 25 to 34 in each of the 50 states. As in the stem plot for older residents (page 35), the stems are whole percent and the leaves are tenths of a percent. This time, each stem has been split in two, with values having leaves 0 through4 placed on one stem, and values ending in 5 through 9 placed on another stem.

(a) Why did we split stems?

(b) Utah has the highest percentage of residents aged 25 to 34. What is that percent? Why do you think Utah has an unusually high percentage of residents in this age group?

(c) Describe the shape, center, and spread of the distribution, ignoring Utah.

Which of the following is least affected if an extreme high outlier is added to your data?

(a) Median

(b) Mean

(c) Standard deviation

(d) Range

(e) Maximum

The low outlier is Alaska. What percent of Alaska residents are 65older?

(a) 0.68

(b) 6.8

(c) 8.8

(d) 16.8

(e) 68

Do women study more than men? We asked the students in a large first-year college class how many minutes they studied on a typical weeknight. Here are

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(a) Examine the data. Why are you not surprised that most responses are multiples of 10 minutes? Are there any responses you consider suspicious?

(b) Make a back-to-back stem plot to compare the two samples. Does it appear that women study more than men (or at least claim that they do)? Justify your answer.
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