What percentage of the area of the standard normal distribution is between z = -1.00 and z = +1.00? How do you know this?

In a normal distribution, approximately 34% of the scores are between the mean and +1 SD; an additional 34% of the scores are between the mean and –1 SD. So, in a normal distribution about 68% of the population (a little more than 2/3) will have scores are within 1 SD of the mean.