Question

What percentage of the data falls outside 1 standard deviation of the mean?

Answer 1

We all know about the bell curve i.e. normal distribution curve. It is centered about the mean and spread equally on each side.

We describe the area of the curve with the help of standard deviations.

With in 1 standard deviation about the mean i.e. from -1 s.d. (left of mean) to +1 s.d. (right of mean), it covers 68% of the total area of curve.

So, the data that falls outside 1 standard deviation of the mean would be equal to (100% - 68%) i.e. 32%.

So, 32% is the final answer.