Question

A set of data with a mean 56 and a standard deviation 3.3 is normally distributed. find 2 standard deviations from the mean

Answer 1

Answer:

To the right we have 62.6 while to the left we have 49.4

Step-by-step explanation:

A normal distribution is usually symmetric with respect to the mean. The mean of the distribution is also the mode as well as the median.

The general formula for points that lie n standard deviations away from the mean on either sides of the mean is given by the formula;

mean ± n(σ)

where σ is the standard deviation of the distribution;

Two standards deviations from the mean imply that n = 2;

56 ± 2(3.3)

56 ± 6.6

To the right we have 62.6 while to the left we have 49.4