Questions: Find the (a) mean, (b) median, (c) mode, and (d) midrange for the data and then (e) answer the given questions. Listed below are the highest amounts of net worth (in millions of dollars) of all celebrities. What do the results tell us about the population of all celebrities? Based on the nature of the amounts, what can be inferred about their precision? 265, 200, 185, 165, 155, 155, 150, 150, 150, 150 a. Find the mean. The mean is million. (Type an integer or a decimal rounded to one decimal place as needed.)

Find the (a) mean, (b) median, (c) mode, and (d) midrange for the data and then (e) answer the given questions. Listed below are the highest amounts of net worth (in millions of dollars) of all celebrities. What do the results tell us about the population of all celebrities? Based on the nature of the amounts, what can be inferred about their precision? 265, 200, 185, 165, 155, 155, 150, 150, 150, 150 a. Find the mean.

The mean is  million. (Type an integer or a decimal rounded to one decimal place as needed.)
Transcript text: Find the (a) mean, (b) median, (c) mode, and (d) midrange for the data and then (e) answer the given questions. Listed below are the highest amounts of net worth (in millions of dollars) of all celebrities. What do the results tell us about the population of all celebrities? Based on the nature of the amounts, what can be inferred about their precision? 265, 200, 185, 165, 155, 155, 150, 150, 150, 150 a. Find the mean. The mean is $\$$ $\square$ million. (Type an integer or a decimal rounded to one decimal place as needed.)
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Solution

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Solution Steps

Step 1: Calculate the Mean

To find the mean of the given data, we use the formula:

\[ \mu = \frac{\sum_{i=1}^N x_i}{N} \]

where \( N \) is the number of data points and \( x_i \) are the individual data values. For the provided data:

\[ \sum_{i=1}^{10} x_i = 265 + 200 + 185 + 165 + 155 + 155 + 150 + 150 + 150 + 150 = 1725 \]

Thus, the mean is calculated as:

\[ \mu = \frac{1725}{10} = 172.5 \]

Step 2: Interpret the Results

The mean net worth of the celebrities is \( \mu = 172.5 \) million dollars. This value represents the average wealth among the selected celebrities, indicating that while some individuals have significantly higher net worths, the average remains at \( 172.5 \) million.

Final Answer

The mean is \(\boxed{172.5}\) million.

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