I was given a question for an assignment but I don't understand whether or not I have the right answer...
The question is this-
What percentage of the students scored more than one standard deviation above the mean?
I was given a data set of 50 scores of students in a statistics course and calculated the following using minitab.
- Mean- 62.46
- Median- 61.00
- Variance 237.76
The standard deviation calculated was 5.7035 as I took the square root of the variance.
The score at one standard deviation above the mean would be 68.1635
Is my answer supposed to be 15.8%? As when looking at a symmetrical distribution curve we can see that one standard deviation is 34.1% so I took the next three percentages and added them to find the percent
13.6 + 2.1 + 0.1 = 15.8%
Or am I suppose to use 68.1635 to figure out the percentage?