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The mean score on a driving exam for a group of​ driver's education students is 80...

The mean score on a driving exam for a group of​ driver's education students is 80 ​points, with a standard deviation of 5 points. Apply​ Chebychev's Theorem to the data using

kequals=2. Interpret the results.

At least __ % of the exam scores fall between __ and __

​(Simplify your​ answers.)

Math   Statistics-And-Probability   
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Answer #1

Given the mean score on a driving exam for a group of drivers education students is 80 points, with the standard deviation of 5 points.

According to Chebycheev's theorem off the data points falls between k standard deviation of the mean.

Here k=2

Thus

Hence at least 75% of the observations falls between two standard deviation of mean. That is

80-2*5 and 80+2*5

That is

70 and 90.

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