the mean value of land and buildings per acre from a sample of farms is $1800, with a standard deviation of…

the mean value of land and buildings per acre from a sample of farms is $1800, 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)? $1890 $2483 $2013 $873 $2208 $2181 the mean)? select all that apply a. $2483 b. $1890 c. $873 d. $2181 e. $2013 f. $2208 which of the farms are very unusual (more than three standard deviations from the mean)? select all that apply a. $2483 b. $2208 c. $2013 d. $1890 e. $2181 f. $873 g. none of the data values are very unusual

the mean value of land and buildings per acre from a sample of farms is $1800, 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)? $1890 $2483 $2013 $873 $2208 $2181 the mean)? select all that apply a. $2483 b. $1890 c. $873 d. $2181 e. $2013 f. $2208 which of the farms are very unusual (more than three standard deviations from the mean)? select all that apply a. $2483 b. $2208 c. $2013 d. $1890 e. $2181 f. $873 g. none of the data values are very unusual

Answer

Explanation:

Step1: Calculate lower and upper bounds for 2 - standard - deviations

The mean $\mu = 1800$ and standard deviation $\sigma=300$. The lower bound for 2 - standard - deviations is $\mu - 2\sigma=1800-2\times300 = 1200$, and the upper bound is $\mu + 2\sigma=1800 + 2\times300=2400$.

Step2: Identify unusual values

Values less than 1200 or greater than 2400 are unusual. Among the given values, 873 < 1200 and 2483>2400. So 873 and 2483 are unusual.

Step3: Calculate lower and upper bounds for 3 - standard - deviations

The lower bound for 3 - standard - deviations is $\mu-3\sigma=1800 - 3\times300=900$, and the upper bound is $\mu + 3\sigma=1800+3\times300 = 2700$.

Step4: Identify very unusual values

All the given values 873, 1890, 2013, 2181, 2208, 2483 are within the range of 900 to 2700. So none of the data values are very unusual.

Answer:

For unusual values: A. $2483$, C. $873$ For very unusual values: G. None of the data values are very unusual