The mean value of land and buildings per acre from a sample of farms is $1600, 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)? $1305 $2449 $1069 $666 $1447 $1061 Which of the farms are unusual (more than two standard deviations from the mean)? Select all that apply. A. $666 B. $1447 C. $1305 D. $2449 E. $1069 F. $1061 oooo00
The mean value of land and buildings per acre from a sample of farms is $1600, 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)? $1305 $2449 $1069 $666 $1447 $1061 Which of the farms are unusual (more than two standard deviations from the mean)? Select all that apply. A. $666 B. $1447 C. $1305 D. $2449 E. $1069 F. $1061 oooo00
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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![### Determining Unusual Data Values Using the Empirical Rule
The mean value of land and buildings per acre from a sample of farms is $1600, 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)?
Values:
- $1305
- $2449
- $1069
- $666
- $1447
- $1061
**Question**: Which of the farms are unusual (more than two standard deviations from the mean)? Select all that apply.
Options:
- A. $666
- B. $1447
- C. $1305
- D. $2449
- E. $1069
- F. $1061
**Solution Explanation**:
1. Compute the range of values within one standard deviation of the mean:
- Mean ± 1 SD: \( $1600 ± $300 = [$1300, $1900] \)
2. Compute the range of values within two standard deviations of the mean:
- Mean ± 2 SD: \( $1600 ± 2×$300 = [$1000, $2200] \)
3. Compute the range of values within three standard deviations of the mean:
- Mean ± 3 SD: \( $1600 ± 3×$300 = [$700, $2500] \)
Now, we examine the given values to see which fall outside the two standard deviations range ($1000 to $2200):
- $1305: Falls within 1 SD range.
- $2449: Falls outside 2 SD range (more than three standard deviations from the mean, thus very unusual).
- $1069: Falls within 2 SD range.
- $666: Falls outside 3 SD range (more than three standard deviations from the mean, thus very unusual).
- $1447: Falls within 1 SD range.
- $1061: Falls within 2 SD range.
**Unusual Values (More than two standard deviations from the mean)**:
- A. $666
- D. $2449
**Note**: Both values $666 and $2449 are also more](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F059927d0-4a6a-48b8-8f42-3581e284e63c%2Fb5759b39-d527-431d-89f8-8e56b1791eb8%2F7d81tm1_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Determining Unusual Data Values Using the Empirical Rule
The mean value of land and buildings per acre from a sample of farms is $1600, 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)?
Values:
- $1305
- $2449
- $1069
- $666
- $1447
- $1061
**Question**: Which of the farms are unusual (more than two standard deviations from the mean)? Select all that apply.
Options:
- A. $666
- B. $1447
- C. $1305
- D. $2449
- E. $1069
- F. $1061
**Solution Explanation**:
1. Compute the range of values within one standard deviation of the mean:
- Mean ± 1 SD: \( $1600 ± $300 = [$1300, $1900] \)
2. Compute the range of values within two standard deviations of the mean:
- Mean ± 2 SD: \( $1600 ± 2×$300 = [$1000, $2200] \)
3. Compute the range of values within three standard deviations of the mean:
- Mean ± 3 SD: \( $1600 ± 3×$300 = [$700, $2500] \)
Now, we examine the given values to see which fall outside the two standard deviations range ($1000 to $2200):
- $1305: Falls within 1 SD range.
- $2449: Falls outside 2 SD range (more than three standard deviations from the mean, thus very unusual).
- $1069: Falls within 2 SD range.
- $666: Falls outside 3 SD range (more than three standard deviations from the mean, thus very unusual).
- $1447: Falls within 1 SD range.
- $1061: Falls within 2 SD range.
**Unusual Values (More than two standard deviations from the mean)**:
- A. $666
- D. $2449
**Note**: Both values $666 and $2449 are also more
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