Question

the mean value of land and buildings per acre from a sample of farms is \\$1300, with a standard deviation of \\$200. 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)?

\\$1494 \\$1868 \\$1420 \\$585 \\$1548 \\$1116

which of the farms are unusual (more than two standard deviations from the mean)? select all that apply.

a. \\$1494
b. \\$585
c. \\$1116
d. \\$1420
e. \\$1548
f. \\$1868

which of the farms are very unusual (more than three standard deviations from the mean)? select all that apply.

a. \\$1116
b. \\$585
c. \\$1420
d. \\$1868
e. \\$1494
f. \\$1548
g. none of the data values are very unusual.

Explanation:

Calculate the thresholds for unusual and very unusual values

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Identify unusual and very unusual values from the dataset

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Map identified values to the multiple-choice options

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Answer:

Question 1

• A. $1494
• B. $585 (Correct answer)
• C. $1116
• D. $1420
• E. $1548
• F. $1868 (Correct answer)

Question 2

• A. $1116
• B. $585 (Correct answer)
• C. $1420
• D. $1868
• E. $1494
• F. $1548
• G. None of the data values are very unusual.