Question

The mean value of land and buildings per acre from a sample of farms is ​$1400​, 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)? ​$1406  ​$2218  ​$1985  ​$446  ​$1783  ​$1361

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

A. ​$446

B. ​$1361

C.​$1985

D. $1406

E. $2218

F. $1783

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

A. $1406

B. $1985

C. $1361

D. $446

E. $1783

F. $2218

G. None of the data values are very unusual.

Answer 1

"X" be data values

The only data values that are greater than $2000 is $2218 and less than $800 is $446.

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"X" be data values

There is no data values that are greater than $2000 and the data values less than $500 is $446.