Question

A set of data with a mean of 45 and a standard deviation of 8.3 is normally distributed. find the value that is +3 standard deviations away from the mean. 48.0 78.9 20.1 69.9

Answer 1

69.9 is exactly 3 standard deviations away, which means that 78.9 is +3 (more than 3) standard deviations

So the answer is 78.9

Answer 2

Answer:

D. 69.9

Step-by-step explanation:

We have been given that a set of data with a mean of 45 and a standard deviation of 8.3 is normally distributed. We are asked to find the value that is +3 standard deviations away from the mean.

To find the value that is 3 standard deviation away from mean, we will multiply 3 by standard deviation and ad the result to mean.

$45+(3\times 8.3)$

$45+24.9$

$69.9$

Therefore, 69.9 is 3 standard deviation away from mean of or given data set and option D is the correct choice.