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1. The mean value of land and buildings per acre from a sample of farms is $1600, with a standard deviation of $100. The data set has abell-shaped distribution. Using the empiricalrule, determine which of the followingfarms, whose land and building values per acre aregiven, are unusual(more than two standard deviations from themean). Are any of the data values very unusual(more than three standard deviations from themean)?

$1648$1822$1537$1274$1721$1428

Which of the farms are unusual(more than two standard deviations from themean)? Select all that apply.

A. $1537 B. $1822 C. $1428 D. $1721 E. $1274 F. $1648

Which of the farms are very unusual(more than three standard deviations from themean)? Select all that apply.

A.$1428 B.$1537 C. 1274 D. 1721 E. 1648 F. 1822 G. None of the data values are very unusual.

2. Use the accompanying data set to complete the following actions.

a. Find the quartiles.

b. Find the interquartile range.

c. Identify any outliers.

40 50 35 44 42 36 40 46 43 38 35 55 43 36 15 52 38 49 30 29

a. Find the quartiles.

The firstquartile, Q1, is

The secondquartile, Q2, is

The thirdquartile, Q3, is

.(Type integers ordecimals.)

b. Find the interquartile range.

The interquartile range(IQR) is

c. Identify any outliers. Choose the correct choice below.

A.There exists at least one outlier in the data set at______.

(Use a comma to separate answers asneeded.)

B.There are no outliers in the data set.

3. The ages of the winners of a cycling tournament are approximatelybell-shaped. The mean age is 28.3 years, with a standard deviation of 3.7 years. The winner in one recent year was 32 years old.

(a) Transform the age to az-score.

(b) Interpret the results.

(c) Determine whether the age is unusual.

(a) Transform the age to az-score.

z=____

b) Interpret the results.

An age of 32 is______ standarddeviation(s) above or below the mean.

c. Determine whether the age is unusual. Choose the correct answer below.

A.Yes,thisvalueisunusual. Az-score outsideoftherangefrom2to2isunusual.

B.No,thisvalueisnotunusual. Az-score between2and2isnotunusual.

C.Yes,thisvalueisunusual. Az-score between2and2isunusual.

D.No,thisvalueisnotunusual.Az-score outsideoftherangefrom2to2isnot unusual.