For a standerd normal distribution find the percentage of da

For a standerd normal distribution, find the percentage of data that are more than 1 standard deviation away from the mean.

percentage of data that are more than 1 standard deviation away from the mean

x > miu + 1 standard deviation

we know that between miu +/- 1* standard deviation we have 68% of the data

and we know that the normal distribution is symmetric so up to the mean we have 34%

between the mean and 1 standard deviation we have 34% of the data

and we know that up to the mean we have 50% of the data and above the mean 50% of the data

so the percentage of data that are more than 1 standard deviation away from the mean is

50 - 34 = 16%