The GMAT scores from a sample of 50 applicants to an MBA pro

The GMAT scores from a sample of 50 applicants to an MBA program indicate that none of the applicants scored below 450. A frequency distribution was formed by choosing class intervals 450 t0 499, 500 t0 549 and so on with the last class having an interval from 700 to 749. Two applicants scored the interval from 700 to 749. Two applicants scored in the interval of 450 to 499 and 16 applicants scored in an interval 500 to 549.

a. What is the percentage of applicants scored below zero?

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

c. What percentage of applicants scored below 550?

d. What percentage of applicants scored below 750?

Solution

<450 0

450-499 2

500-549 x

550-599 16

600-649 y

650-699 z

700-749 2

a. What is the percentage of applicants scored below zero?

there is no score below zero

so percentage = 0%

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

there is x person in the range.

this data is missing

so percentage = x/50 * 100 % = 2x%

c. What percentage of applicants scored below 550?

below 550 = 2+x

so , percentage of people = (x+2)/50 * 100 % = 2(x+2)%

d. What percentage of applicants scored below 750?

all are having score less than 750

so number of people = 50

percentage = 50/50 * 100 = 100%