The GMAT scores from 50 applicants to a MBA program shows no

The GMAT scores from 50 applicants to a MBA program shows none scored below 450. A frequency distribution was formed by choosing class intervals 450 to 499, 500 to 549, and so on, with the last class interval from 700 to 749. Two applicants scored in the interval450-499, and two in 500-549.

a. What percentage of applicants scored below 500?

b. What percentage of applicants scored between 500-549?

c. What percentage of applicants scored below 550?

d. What percentage of applicants scored below 750?

Solution

1.

2 scores below 500, out of 50 applicants.
Hence

P(below 500) = 2/50 = 0.04 [answer]

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2.

Again there are two scores from 500-549.

P(between 500-549) = 2/50 = 0.04 [answer]

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3.

These include the 2 below 500 and 2 from 500-549. Thus,

P(below 550) = (2+2)/50 = 0.08 [answer]

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4.

Class intervals are only up to 749. Hence, all scores less than 750. Hence,

P(below 750) = 50/50 = 1 [answer]