he mean value of land and buildings per acre from a sample of farms is $1400​, with a standard deviation of $200.

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The mean value of land and buildings per acre from a sample of farms is $1400​, 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)?

 

$1054  
​$1833  
​$1045  
​$785  
​$1362  
​$1289
 
 
Which of the farms are unusual​ (more than two standard deviations from the​ mean)? Select all that apply.
 
 
A.
​$1833
 
B.
​$1045
 
C.
​$1362
 
D.
​$1054
 
E.
​$1289
 
F.
​$785
Expert Solution
Step 1 -Writing given data

Given that 

The mean value of land and buildings per acre from a sample of farms is $1400​ = μ = $1400

Standard deviation of $200. = σ =$200

Bell shaped distribution (Normal distribution)

Unusual-

The data value is said to be unusual when it is two standard deviations  away from the mean value.

 

Data values -

$1054 ,​$1833 ,​$1045 ,​$785 ,​$1362 ,$1289

 

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