Question 615720
mean is 267
standard deviation is 15
score of 237 = z-score of (237-267)/15 = -2.0
score of 297 = z-score of (297-267)/15 = +2.0
k value = 2 standard deviations.
chebyshev states that the probability of scores being within this range will be greater than or equal to p = 1 - (1/k^2)
since k is equal to 2, this means that:
p = 1 - (1/4) which means that p = 3/4 which means that p = .75 or 75%.
this means that the probability that the scores will be between 237 and 297 is greater than or equal to 75%.
here's a reference that details how this calculation is made:
<a href = "http://answers.yahoo.com/question/index?qid=20070914074905AAasH9q" target = "_blank">http://answers.yahoo.com/question/index?qid=20070914074905AAasH9q</a>