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Chapter 1: Problem 63

In a class of 76 students, the results of a particular examination were \(7 \mathrm{A}^{\prime} \mathrm{s}, 22 \mathrm{B}^{\prime} \mathrm{s}, 37 \mathrm{C}^{\prime} \mathrm{s}, 8 \mathrm{D}^{\prime} \mathrm{s}, 2 \mathrm{F}^{\prime} \mathrm{s}\). What was the percent distribution of grades, that is, \(\%\) A's, \(\%\) B's, and so on?

Short Answer

Expert verified
The percentage of grades are: A's = 9.21%, B's = 28.95%, C's = 48.68%, D's = 10.53%, F's = 2.63%.

Step by step solution

01

Analyze the data given

Note that the grades distribution is as follows: A's = 7, B's = 22, C's = 37, D's = 8, F's = 2. Total number of students is 76.
02

Calculate the Percentage of A's

To calculate the percentage of students who received A's, divide the number of A's by the total number of students and multiply by 100. The formula is: \(\%A's = (\frac{7}{76}) * 100\)
03

Calculate the Percentage of B's

Using the same method, the percentage of students who received B's is: \(\%B's = (\frac{22}{76}) * 100\)
04

Calculate the Percentage of C's

The percentage of students who received C's is: \(\%C's = (\frac{37}{76}) * 100\)
05

Calculate the Percentage of D's

The percentage of students who received D's is: \(\%D's = (\frac{8}{76}) * 100\)
06

Calculate the Percentage of F's

Lastly, the percentage of students who received F's is: \(\%F's = (\frac{2}{76}) * 100\)

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