What amount of data does Chebyshev's Theorem guarantee is within three standard deviations from the mean?
Given the following grades on a test:
86, 92, 100, 93, 89, 95, 79, 98, 68, 62, 71, 75, 88, 86, 93, 81, 100, 86, 96, 52what percentage of scores lie within one standard deviation from the mean? two standard deviations? Are these results consistent with what Chebyshev's Theorem concludes?
Given this sample of freshman GPA scores:
2.2, 2.9, 3.5, 4.0, 3.9, 3.5, 2.9, 2.8, 3.1, 3.5, 3.8, 4.0, 3.8, 2.4, 3.9, 3.4, 2.8, 2.4, 1.8, 3.6, 3.1, 2.9, 3.8, 4.0
what percentage of scores is within one standard deviation of the mean? two standard deviations? three standard deviations? Are these results consistent with the conclusions of Cheybshev's Theorem?