Tally Chart Statistics Example 5

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Example 5

medium

Students were asked their favorite color: Red (7), Blue (12), Green (5), Yellow (3). Create the tally marks and find what fraction chose Blue.

Solution

1
Write tally marks for each color: Red = $\cancel{||||}\;||$ (7), Blue = $\cancel{||||}\;\cancel{||||}\;||$ (12), Green = $\cancel{||||}$ (5), Yellow = $|||$ (3).
2
Find the total number of students: $7 + 12 + 5 + 3 = 27$ .
3
The fraction who chose Blue: $\frac{12}{27}$ . Simplify by dividing numerator and denominator by $\gcd(12, 27) = 3$ : $\frac{12}{27} = \frac{4}{9}$ .

Answer

\frac{4}{9} \text{ of the students chose Blue}

Tally marks use groups of five (four vertical lines crossed by a fifth diagonal line) for easy counting. To find a fraction, place the count for the category over the total and simplify.

About Tally Chart

A tally chart is a simple way to record and count data using vertical strokes called tally marks. Every fifth mark is drawn diagonally across the previous four, making groups of five that are easy to count. For example, |||| represents 4 and ⧸|||| represents 5.

Learn more about Tally Chart →

More Tally Chart Examples

Example 1 easy

A class voted for their favourite colour. The tally marks show: Red |||| ||, Blue |||| , Green |||,

Example 2 medium

A survey asked 30 people their favourite season. The results are: Spring 8, Summer 11, Autumn 6, Win

Example 3 medium

A student's tally chart for types of vehicles passing the school shows: Cars |||| |||| |||| ||, Buse

Example 4 hard

A tally chart records dice rolls. The tallies show: 1 (7 times), 2 (5 times), 3 (9 times), 4 (6 time

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Related Concepts

Frequency Table Pictograph