The mean value of land and buildings per 1 acre from a sample of farms is \$1300, 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)?

\$1025 \$1763 \$1106 \$678 \$1494 \$1631

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

$1763

$1106

$1494

$1025

$1631

$678

standard deviation

means

Answered by moduloP 3 years ago

In this question, data is described as unusual if it is more than 2 standard deviations from the mean, which means being outside the range,

$$ (1300-2\times 200, 1300+2 \times 200) = (900,1700) $$

any values less than 900 or greater than 1700 will be considered unusual.

Likewise data is described as very unusual when it is 3 standard deviations from the mean,

$$ (1300-3\times 200, 1300+3 \times 200) = (700,1900) $$

again, any values less than 700 or greater than 1900 are considered very unusual.

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Asked: 3 years ago