Using the Chebyshev's Theorem and the Empirical Rule, it is found that it is not possible that around 70% of data lie within x-2s and x+2s.
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Distributions are classified as symmetric or not symmetric.
If the distribution is not symmetric, Chebyshev's Theorem is used, which states that <u>at least 75% of the measures are within 2 standard deviations of the mean</u>.
If the distribution is symmetric, the Empirical Rule is used, which states that <u>around 95% of the measures are within 2 standard deviations of the mean</u>.
Thus, from the above bullet points, at least 75% of the measures are within x-2s and x+2s, which means that the percentage of 70% is too small.