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

Step by step solution

01

Understand the Range of Data

The majority of houses in Naples, Florida, are priced between $200,000 and $500,000. However, some houses, specifically those on the water, are significantly more expensive, with prices reaching up to $15 million.
02

Determine the Influence of Outliers

Recognize that while most houses fall within a specific price range, the few with extremely high prices can significantly influence the distribution of data. These expensive houses are considered outliers.
03

Assess Data Skewness

When a distribution has outliers that are much higher than the majority of data points, the distribution is pulled towards the right. Thus, the presence of these high-priced homes will cause the distribution to be skewed to the right.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Outliers
Outliers are data points that differ significantly from other observations in the data set. In the context of real estate prices in Naples, Florida, the houses priced at $15 million are outliers. Unlike the majority of homes, which range from $200,000 to $500,000, these high-priced properties starkly contrast the rest.

Outliers can have a substantial impact on data analysis. They can skew the results and affect the mean significantly. It's important to properly identify outliers because they can misrepresent the data's true center and spread. Analyzing outliers can unravel new insights, such as the unique value of waterfront properties that justify their higher price.
Data Distribution
Data distribution refers to how the data is spread across different values. In statistics, understanding the shape of the data distribution is crucial. In our example of Naples' real estate market, most prices are grouped between $200,000 and $500,000 with a few houses priced significantly higher.

When we plot such data on a graph, these high-value outliers drag the distribution to one side. Specifically, if the outliers are high, the distribution becomes 'skewed to the right', indicating that higher values are stretching the graph's tail to the right. This reveals that while most homes are affordable, a small number of extremely expensive properties shift the market's overall pricing balance.
Real Estate Prices
Real estate prices can vary widely due to factors like location, house size, and amenities. In places like Naples, Florida, particular areas such as waterfront locations can command extremely high prices, well above the area's average.

Understanding price distribution in real estate involves analyzing common price ranges and identifying any extreme outliers, which are often responsible for creating skewness in the data. These outliers can present challenges when estimating median or average property values, but they also highlight uniquely desirable features in the housing market, drawing attention to properties with exceptional qualities.

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Most popular questions from this chapter

If a distribution is skewed to the right with no outliers, (a) mean < median. (d) mean > median. (b) mean ? median. (e) We can鈥檛 tell without xamining the data. (c) mean = median.

Comparing investments Should you put your money into a fund that buys stocks or a fund that invests in real estate? The boxplots compare the daily returns (in percent) on a 鈥渢otal stock market鈥 fund and a real estate fund over a year ending in November 2007.43 (a) Read the graph: about what were the highest and lowest daily returns on the stock fund? (b) Read the graph: the median return was about the same on both investments. About what was the median return? c) What is the most important difference betweenthe two distributions?

SD contest This is a standard deviation contest. You must choose four numbers from the whole numbers 0 to 10, with repeats allowed. (a) Choose four numbers that have the smallest possible standard deviation. (b) Choose four numbers that have the largest possible standard deviation. (c) Is more than one choice possible in either (a) or (b)? Explain.

Die rolls Imagine rolling a fair, six-sided die 60 times. Draw a plausible graph of the distribution of die rolls. (Hint: Should you use a bar graph or a histogram?)

Marginal distributions aren鈥檛 the whole story Here are the row and column totals for a two-way table with two rows and two columns: \(\begin{array}{cc|c}{a} & {b} & {50} \\ {c} & {d} & {50} \\ \hline 60 & {40} & {100}\end{array}\) Find two different sets of counts \(a, b, c,\) and \(d\) for the body of the table that give these same totals. This shows that the relationship between two variables cannot be obtained from the two individual distributions of the variables.

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