
Mike D. answered 06/05/21
Experienced high school discrete math teacher
It's a standard result.
approx 68% of data is within 1 sd
approx 95% of data is within 2 sd
on a TI-84 you can find these as follows :
normal cdf
lower = -1
upper = 1
mean = 0
sd = 1
0.6827
lower = -2
upper = 1
mean = 0
sd = 1
0.9545
0.9973 within 3 sds using same idea


Mike D.
If you read my answer thoroughly the percent is stated as 68. The TI-84 gives 0.6827 which is 68.27% but normally 68% is a good enough approximation.06/05/21
David W.
To be VERY EXACT, please specify PERCENT (%), as problem stated.06/05/21