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The mean value of land and buildings per acre from a sample of farms is $1300, with a standard deviation of $300. The data set has a bell-shaped distribution. Using the empirical rule, determine which of the following farms, whose land and building values per acre are given, are unusual (more than two standard deviations from the mean). Are any of the data values very unusual (more than three standard deviations from the mean)? $1752 $2163 $787 $353 $1330 $1664 Which of the farms are unusual (more than two standard deviations from the mean)? Select all that apply. A. $353 B. $1664 C. $1752 D. $1330 E. E. $787 F. F. $2163 Which of the farms are very unusual (more than three standard deviations from the mean)? Select all that apply. A. $2163 B. $1330 C. $1752 D. $1664 E. $353 F. F. $787 G. None of the data values are very unusual.

The mean value of land and buildings per acre from a sample of farms is $1300, with a standard deviation of $300. The data set has a bell-shaped distribution. Using the empirical rule, determine which of the following farms, whose land and building values per acre are given, are unusual (more than two standard deviations from the mean). Are any of the data values very unusual (more than three standard deviations from the mean)? $1752 $2163 $787 $353 $1330 $1664 Which of the farms are unusual (more than two standard deviations from the mean)? Select all that apply. A. $353 B. $1664 C. $1752 D. $1330 E. E. $787 F. F. $2163 Which of the farms are very unusual (more than three standard deviations from the mean)? Select all that apply. A. $2163 B. $1330 C. $1752 D. $1664 E. $353 F. F. $787 G. None of the data values are very unusual.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 11PPS
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### Analyzing Farm Land and Building Per Acre Values #### Overview: We have a dataset of the mean value of land and buildings per acre from a sample of farms. The mean value is $1300, with a standard deviation of $300. The data set follows a bell-shaped distribution. Using the empirical rule, we'll determine which farm values are unusual (more than two standard deviations from the mean) and very unusual (more than three standard deviations from the mean). The given values for the land and buildings per acre are: - $1752 - $2163 - $787 - $353 - $1330 - $1664 ### Empirical Rule and Standard Deviations: - **Mean (μ):** $1300 - **Standard Deviation (σ):** $300 **Empirical Rule:** - 68% of data falls within 1σ of the mean: $1000 to $1600 - 95% of data falls within 2σ of the mean: $700 to $1900 - 99.7% of data falls within 3σ of the mean: $400 to $2200 ### Questions: 1. **Which of the farms are unusual (more than two standard deviations from the mean)? Select all that apply:** - A. $353 - B. $1664 - C. $1752 - D. $1330 - E. $787 - F. $2163 2. **Which of the farms are very unusual (more than three standard deviations from the mean)? Select all that apply:** - A. $2163 - B. $1330 - C. $1752 - D. $1664 - E. $353 - F. $787 - G. None of the data values are very unusual. **Explanation:** - Unusual values are those outside the range of $700 to $1900. - Very unusual values are those outside the range of $400 to $2200. Use the values given and the empirical rule to identify the unusual and very unusual farm values accurately.
Transcribed Image Text:### Analyzing Farm Land and Building Per Acre Values #### Overview: We have a dataset of the mean value of land and buildings per acre from a sample of farms. The mean value is $1300, with a standard deviation of $300. The data set follows a bell-shaped distribution. Using the empirical rule, we'll determine which farm values are unusual (more than two standard deviations from the mean) and very unusual (more than three standard deviations from the mean). The given values for the land and buildings per acre are: - $1752 - $2163 - $787 - $353 - $1330 - $1664 ### Empirical Rule and Standard Deviations: - **Mean (μ):** $1300 - **Standard Deviation (σ):** $300 **Empirical Rule:** - 68% of data falls within 1σ of the mean: $1000 to $1600 - 95% of data falls within 2σ of the mean: $700 to $1900 - 99.7% of data falls within 3σ of the mean: $400 to $2200 ### Questions: 1. **Which of the farms are unusual (more than two standard deviations from the mean)? Select all that apply:** - A. $353 - B. $1664 - C. $1752 - D. $1330 - E. $787 - F. $2163 2. **Which of the farms are very unusual (more than three standard deviations from the mean)? Select all that apply:** - A. $2163 - B. $1330 - C. $1752 - D. $1664 - E. $353 - F. $787 - G. None of the data values are very unusual. **Explanation:** - Unusual values are those outside the range of $700 to $1900. - Very unusual values are those outside the range of $400 to $2200. Use the values given and the empirical rule to identify the unusual and very unusual farm values accurately.
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