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 which of the farms are unusual (more than two standard deviations from 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

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 which of the farms are unusual (more than two standard deviations from 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

Answer

Explanation:

Step1: Calculate lower and upper bounds for unusual values

The mean $\mu = 1800$ and standard - deviation $\sigma=300$. For unusual values (more than 2 standard deviations from the mean), the lower bound is $\mu - 2\sigma=1800 - 2\times300=1800 - 600 = 1200$ and the upper bound is $\mu + 2\sigma=1800+2\times300 = 1800 + 600=2400$.

Step2: Identify unusual values

We check each value:

  • For $1890$, $1200<1890<2400$, so it is not unusual.
  • For $2483$, $2483>2400$, so it is unusual.
  • For $2013$, $1200<2013<2400$, so it is not unusual.
  • For $873$, $873<1200$, so it is unusual.
  • For $2208$, $1200<2208<2400$, so it is not unusual.
  • For $2181$, $1200<2181<2400$, so it is not unusual.

Step3: Calculate lower and upper bounds for very unusual values

For very unusual values (more than 3 standard deviations from the mean), the lower bound is $\mu - 3\sigma=1800-3\times300 = 1800 - 900=900$ and the upper bound is $\mu + 3\sigma=1800 + 3\times300=1800 + 900 = 2700$.

Step4: Identify very unusual values

We check each value again:

  • For $2483$, $900<2483<2700$, so it is not very unusual.
  • For $873$, $873<900$, so it is very unusual.

Answer:

Which of the farms are unusual (more than two standard deviations from the mean)? Select all that apply. A. $2483 C. $873 Which of the farms are very unusual (more than three standard deviations from the mean)? Select all that apply. F. $873