The interval of 1.5 sd either side of the mean contains 87 of the values of a Gaussian distribution. For other distribution the answers will be different.
It would be 3*5 = 15.
score of 92
Information is not sufficient to find mean deviation and standard deviation.
Standard deviation is the square root of the variance.
(15/sqroot(9))=5 So it is 5
3.898717738 is the standard deviation.
No. It's the number that will help you work out the percentage.
4.55% falls outside the mean at 2 standard deviation
Variance = 17.9047619 Standard Deviation = 4.23140188
A standard deviation in statistics is the amount at which a large number of given values in a set might deviate from the average. A percentile deviation represents this deviation as a percentage of the range.
It would be 3*5 = 15.
It is 15 points.
100 x (standard deviation/mean)
The range is 12 and the standard deviation is 3.822448314.
The standard deviation is the standard deviation! Its calculation requires no assumption.
For normally distributed data. One standard deviation (1σ)Percentage within this confidence interval68.2689492% (68.3% )Percentage outside this confidence interval31.7310508% (31.7% )Ratio outside this confidence interval1 / 3.1514871 (1 / 3.15)
7.087547766 is the standard deviation for those figures.