A set of data with a mean of 45 and a standard deviation of 8.3 is normally distributed. Find the value that is –2 standard deviations away from the mean.
To find the value that is -2 standard deviations away from the mean, we need to multiply the standard deviation by -2 and subtract this value from the mean.
Mean - 2(Standard Deviation)
= 45 - 2(8.3)
= 45 - 16.6
= <<45-16.6=28.4>>28.4
Therefore, the value that is -2 standard deviations away from the mean is 28.4.