Chebychevs theorm

Question

For sample of people playing a certain carnival game it took an average of 15 throws to score a basket the standard deviation is . At least what percentage of people score a basket in 11 to 19 throws. In what range about the mean could one expect 93.75 percent of people score a basket

Answer 1

theorem holds at least 1- 1/k^2 of the data falls within k standard deviations from the mean

if k=4 then at least 1- 1/16 = 15/16 will score between 11 and 19 = 93.75%

93.75%= a lower bound for a range of 11 to 19 if mean = 15