The mean of fifty sales receipts is $65.75 and the standard deviation is $10.55.Using Chebysheff's Theorem,75% of the sales receipts were between $44.65 and $86.85.

Question

Quizplus · Accepted Answer

Using Chebyshev's Theorem, we know that at least (1 - 1/k^2) of the data points will fall within k standard deviations from the mean, where k is any positive integer greater than 1.

For example, if we let k=2, then we know that at least 1 - 1/2^2 = 75% of the data points will fall within 2 standard deviations from the mean.

Given that the mean of the sales receipts is $65.75 and the standard deviation is $10.55, we can calculate the range within 2 standard deviations from the mean:

$65.75 - 2($10.55) = $44.65 
$65.75 + 2($10.55) = $86.85

Therefore, using Chebyshev's Theorem, we can conclude that at least 75% of the sales receipts fall within the range of $44.65 and $86.85.

Thus, the statement is true and the answer is A.

The Mean of Fifty Sales Receipts Is $65