The May 1, 2009, issue of a certain publication reported the following home sale amounts for a sample of homes in Alameda, CA that were sold the previous month (1,000s of $). 592 816 573 606 346 1,283 413 540 551 675 n USE SALT (a) Calculate and interpret the sample mean and median. The sample mean is x = --Select-v price, while half were more than the -Select- v price. thousand dollars and the sample median is ž = thousand dollars. This means that the average sale price for a home in this sample was $ and that half the sales were for less than the

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Please solve the first three blanks in (a)!

The May 1, 2009, issue of a certain publication reported the following home sale amounts for a sample of homes in Alameda, CA that were sold the previous month (1,000s of $).

592, 816, 573, 606, 346, 1,283, 413, 540, 551, 675

(a) Calculate and interpret the sample mean and median.

The sample mean is \( \overline{x} = \underline{\hspace{40px}} \) thousand dollars and the sample median is \( \tilde{x} = \underline{\hspace{40px}} \) thousand dollars. This means that the average sale price for a home in this sample was $ \underline{\hspace{40px}} and that half the sales were for less than the \( \underline{\text{Select}}\) price, while half were more than the \( \underline{\text{Select}} \) price.

(b) Suppose the 6th observation had been 985 rather than 1,283. How would the mean and median change?

- \( \circ \) Changing that one value raises the sample mean but has no effect on the sample median.
- \( \circ \) Changing that one value has no effect on either the sample mean nor the sample median.
- \( \circ \) Changing that one value has no effect on the sample mean but raises the sample median.
- \( \circ \) Changing that one value has no effect on the sample mean but lowers the sample median.
- \( \circ \) Changing that one value lowers the sample mean but has no effect on the sample median.

(c) Calculate a 20% trimmed mean by first trimming the two smallest and two largest observations. (Round your answer to the nearest hundred dollars.)

$ \underline{\hspace{40px}}

(d) Calculate a 15% trimmed mean. (Round your answer to the nearest hundred dollars.)

$ \underline{\hspace{40px}}
Transcribed Image Text:The May 1, 2009, issue of a certain publication reported the following home sale amounts for a sample of homes in Alameda, CA that were sold the previous month (1,000s of $). 592, 816, 573, 606, 346, 1,283, 413, 540, 551, 675 (a) Calculate and interpret the sample mean and median. The sample mean is \( \overline{x} = \underline{\hspace{40px}} \) thousand dollars and the sample median is \( \tilde{x} = \underline{\hspace{40px}} \) thousand dollars. This means that the average sale price for a home in this sample was $ \underline{\hspace{40px}} and that half the sales were for less than the \( \underline{\text{Select}}\) price, while half were more than the \( \underline{\text{Select}} \) price. (b) Suppose the 6th observation had been 985 rather than 1,283. How would the mean and median change? - \( \circ \) Changing that one value raises the sample mean but has no effect on the sample median. - \( \circ \) Changing that one value has no effect on either the sample mean nor the sample median. - \( \circ \) Changing that one value has no effect on the sample mean but raises the sample median. - \( \circ \) Changing that one value has no effect on the sample mean but lowers the sample median. - \( \circ \) Changing that one value lowers the sample mean but has no effect on the sample median. (c) Calculate a 20% trimmed mean by first trimming the two smallest and two largest observations. (Round your answer to the nearest hundred dollars.) $ \underline{\hspace{40px}} (d) Calculate a 15% trimmed mean. (Round your answer to the nearest hundred dollars.) $ \underline{\hspace{40px}}
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