# Normal Distribution

At one college, GPAs are normally distributed with a mean of 3.1 and a standard deviation of 0.4. What percentage of students at the college have a GPA between 2.7 and 3.5?

### Correct answer:

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**Dr Math**

checkout online normal calculator with pre-filled values:

https://www.hackmath.net/en/calculator/normal-distribution?mean=3.1&sd=0.4&above=1.56&below=0.556&area=between&ll=2.7&ul=3.5&outsideLL=-1.56&outsideUL=1.56&draw=Calculate

https://www.hackmath.net/en/calculator/normal-distribution?mean=3.1&sd=0.4&above=1.56&below=0.556&area=between&ll=2.7&ul=3.5&outsideLL=-1.56&outsideUL=1.56&draw=Calculate

**Dr Math**

we normalize to z score, so +- one sigma, Probability of normal distribution from -sigma to +sigma is 0.6827

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