Relative Frequency Concepts and Calculations

This video tutorial for grade 8 math covers the creation and conversion of frequency tables into relative frequency tables using decimals and percentages. It explains how to calculate relative frequencies from sales data and emphasizes the importance of ensuring totals match expected values. The video concludes with a brief introduction to two-way relative frequency tables, which will be covered in the next lesson.

What is the primary purpose of creating a relative frequency table?

• To calculate the average of a data set

• To list all possible outcomes

• To compare different data sets

• To show the proportion of each category relative to the total

In the context of the video, what does the frequency table initially show?

• The total number of t-shirts sold

• The colors of t-shirts sold

• The price of each t-shirt

• The number of each color of t-shirt sold

How do you convert a frequency into a relative frequency using decimals?

• Divide the frequency by the total number of observations

• Subtract the frequency from the total

• Add all frequencies together

• Multiply the frequency by 100

What is the first step in converting a frequency table to a relative frequency table?

• Add all frequencies together

• Divide each frequency by the total

• Subtract each frequency from the total

• Multiply each frequency by 100

What is the relative frequency of red t-shirts if 20 out of 60 were sold?

• 0.17

• 0.33

• 0.50

• 0.20

When converting 10 out of 60 to a decimal, what is the approximate relative frequency?

• 0.20

• 0.10

• 0.16

• 0.17

If 30 out of 60 t-shirts sold are blue, what is the relative frequency in decimal form?

• 0.30

• 0.50

• 0.60

• 0.70

What should the sum of all relative frequencies equal?

• 1.00

• 0.50

• 60

• 100

How can you express a relative frequency of 0.50 as a percentage?

• 75%

• 100%

• 50%

• 25%

What is the percentage equivalent of a relative frequency of 0.17?

• 50%

• 33%

• 83%

• 17%