Q: What percentage of students received either an A or a B? Use the formula $$\text{Percentage} = \frac{\text{frequency}}{\text{total}} \times 100\%.$$

$$\frac{11}{25} \times 100\% = 44\%$$

Q: If the teacher wants to display the percentage of students who failed (received D or F), what is the correct calculation?

$$\frac{2 + 2}{25} \times 100\% = 16\%$$

Question 1

Given the grades shown in the image, which of the following is the correct frequency table for the grades?

Accepted Answer

A: 5, B: 6, C: 10, D: 2, F: 2

Question 2

What is the relative frequency of students who received a grade of C? Use the formula $$	ext{Relative frequency} = \frac{	ext{frequency}}{	ext{total}}.$$

Accepted Answer

$$\frac{10}{25} = 0.40$$

Question 3

If you were to construct a cumulative frequency table for the grades in the image, what would be the cumulative frequency for grade D?

Accepted Answer

21

Question 4

Which grade category has the lowest frequency in the data set shown?

Accepted Answer

F

Question 5

What percentage of students received either an A or a B? Use the formula $$	ext{Percentage} = \frac{	ext{frequency}}{	ext{total}} 	imes 100\%.$$

Accepted Answer

$$\frac{11}{25} 	imes 100\% = 44\%$$

Question 6

If you were to bin the grades into 'Pass' (A, B, C) and 'Fail' (D, F), what is the relative frequency of students who passed?

Accepted Answer

$$\frac{21}{25} = 0.84$$

Question 7

Suppose you want to interpret the cumulative frequency for grade C. What does this value represent?

Accepted Answer

The number of students who received a grade of C or lower

Question 8

If the teacher wants to know how many students received one of the three lowest grades (C, D, or F), what is the correct calculation?

Accepted Answer

$$10 + 2 + 2 = 14$$

Question 9

Which of the following best describes the purpose of a frequency table?

Accepted Answer

To organize data into categories and show how often each occurs

Question 10

If the teacher wants to display the percentage of students who failed (received D or F), what is the correct calculation?

Accepted Answer

$$\frac{2 + 2}{25} 	imes 100\% = 16\%$$

Frequency Tables and Data Binning: Study Notes for Statistics Students

Study Guide - Practice Questions

Study Guide - Flashcards