IXL | Create relative frequency tables

Ann asked her friends about their favorite season. 1 friend chose winter, 3 friends chose spring, 4 friends chose summer, and 2 friends chose fall.

Complete the relative frequency table for the data.

Favorite seasons
Season	Winter	Spring	Summer	Fall
Relative frequency	%	%	%	%

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Learn with an example

question

For the school talent show, Meg and her friends voted on a song to dance to. There were 4 votes for "Dance Life," 1 vote for "Reach Higher," and 5 votes for "Can't Beat Us."

Complete the relative frequency table for the data.

Talent show dance
Song	Dance Life	Reach Higher	Can't Beat Us
Relative frequency	%	%	%

key idea

The relative frequency of a category is the ratio of the number in that category to the total number.

Relative frequency =

number in a category

total number

Relative frequencies are often written as percents.

solution

To find the relative frequency of each song, first find the total number of votes.

There were a total of 10 votes. Write the relative frequency of each song as a fraction with a denominator of 10.

Talent show dance
Song	Dance Life	Reach Higher	Can't Beat Us
Frequency	4	1	5
Relative frequency	4 10	1 10	5 10

Now write each relative frequency as a percent. Start with the relative frequency of "Dance Life",

Since a percent tells you a part out of 100, write an equivalent fraction with a denominator of 100.

100

The relative frequency of "Dance Life" is 40%. You can write the other relative frequencies as percents the same way.

Talent show dance
Song	Dance Life	Reach Higher	Can't Beat Us
Relative frequency	40%	10%	50%

Looking for more? Try these:

Lesson: Frequency tables

Lesson: Percents

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Teacher tools

Work it out

Not feeling ready yet? These can help:

GG.10Create frequency tables

O.2Convert between percents, fractions, and decimals

Lesson: Frequency tables

Lesson: Percents

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