Question

Assume the average age of an MBA student is 34.9 years old with a standard deviation of 2.5 years. ​a) Determine the coefficient of variation. ​b) Calculate the​ z-score for an MBA student who is 29 years old. ​c) Using the empirical​ rule, determine the range of ages that will include 99.7​% of the students around the mean. ​d) Using​ Chebyshev's Theorem, determine the range of ages that will include at least 91​% of the students around the mean. ​e) Using​ Chebyshev's Theorem, determine the range of ages that will include at least 87​% of the students around the mean.

Answer 1

a).the coefficient of variation be:-

b).the​ z-score for an MBA student who is 29 years old be:-

c).according to empirical rule:-

approximately 99.7% of the values will lie within 3 sd from the mean.

Using the empirical​ rule, the range of ages that will include 99.7​% of the students around the mean be:-

d).according to Chebyshev's theorem,

the proportion of data that will loe within k sd from the mean is at least .

according to the problem:-

the range of ages that will include at least 91​% of the students around the mean be:-

e).according to the problem:-

the range of ages that will include at least 87​% of the students around the mean be:-

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