College

The Graduate Management Admission Test (GMAT) is a standardized exam used by many universities as part of the assessment for admission to graduate study in business. The average GMAT score is 547, with a standard deviation of 100. Assume that GMAT scores are bell-shaped.

Using the empirical rule, answer the following question:

a. What percentage of GMAT scores are 647 or higher?

Answer :

Answer:

16% of GMAT scores are 647 or higher.

Step-by-step explanation:

Consider the provided information.

The average GMAT score is 547. Assume that GMAT scores are bell-shaped with a standard deviation of 100.

We need find the percentage of GMAT scores are 647 or higher.

[tex]z=\frac{\bar x-\mu}{\sigma}[/tex]

Substitute the respective values in above formula.

[tex]z=\frac{647-547}{100}[/tex]

[tex]z=\frac{100}{100}[/tex]

[tex]z=1[/tex]

According to the empirical rule 68% will fall within the first standard deviation.

100 - 68 = 32% of the provided data fall outside the first standard deviations of the mean. Also [tex]\frac{32}{2}[/tex] = 16% of the provided data fall below the first standard deviations of the mean.


Therefore, 16% of GMAT scores are 647 or higher.

Other Questions