Chebyshev's Rule and the Empirical Ruleare rules we use to find intervals where certain amounts of data from a data set is likely to fall.

Chebyshev's Rulecan be usedfor any set of data, and guarantees that

• At least3/4 of the data (75 %) falls within 2 standard deviations of the mean.
• At least8/9 of the data (89 %) falls within 3 standard deviations of the mean.

Empirical Rulecan be used whendata is symmetric and bell-shaped, and predicts that

• Approximately95 % of the data falls within 2 standard deviations of the mean.
• Approximately99.7 % of the data falls within 3 standard deviations of the mean.

Use the above information to answer the following question.

Suppose that a set of test scores hassample mean of 78.6andsample standard deviation of approximately 6.2.

According toChebyshev's Rule,at least 75 % of the test scoreswill fall between

Blank 1. Calculate the answer by read surrounding text.

and

Blank 2. Calculate the answer by read surrounding text.

.

Do NOT round your answers. Be sure to give the lower value first, followed by the higher value.