Question

Suppose that rada point average of undergrathathenstone university Hotels near but with mean of 251 and a standard deviation

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Answer #1

according to empirical rule , the percentage of students have grade point averages no more than 3.37 is = 97.5 %

[ explanation:-

the diagram showing data distribution :-

we have,

\mu=2.51,\sigma=0.43

the z score for X=  3.37 is:-

=\left ( \frac{X-\mu}{\sigma} \right )=\left ( \frac{3.37-2.51}{0.43} \right )=\mathbf{2}

the percentage of students have grade point averages no more than 3.37 is :-

= percentage of data that are lying below the value 2 sd above the mean

= (50+34+13.5) % (for ease see the diagram showing the data distribution and keep in mind that normal curve , is a symmetric curve)

=97.5 % ]

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