I have been given 10, 50 and 90% of a distribution. From these numbers, how can I compute the mean and standard deviation?

mean = (10+50+90)/3

= 150/3

= 50%

deviations from mean = (10-50), (50-50), (90-50)

= -40%, 0%, 40%

square of deviations = 1600, 0, 1600

sum of square deviations (SSD)= 1600+0+1600 = 3200

standard deviation = sqrt(SSD/n)

= sqrt(3200/3)

= sqrt 1066.67

= 32.65 %

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