Prove the Chebyshev theorem: If y is a sample of size n and is an interval, then for k > 1, at least of the sample points will be within k standard deviations of the mean. Make sure you sketch a number line displaying points and the interval Make good use of the sample variance formula Show all algebra and any inequations necessary with reasons for all steps

1. Prove the Chebyshev theorem: If y is a sample of size n and i ks is aninterval, then for k > 1, atleast 1 lr.:2 of the sample points will be within k standard deviations of the mean. A. Make sure you sketch a number line displaying points and the interval B. Make good use of the sample variance formula C. Show all algebra and any inequations necessary with reasons for all steps