Tally Chart Statistics Example 3
Follow the full solution, then compare it with the other examples linked below.
Example 3
mediumA student's tally chart for types of vehicles passing the school shows: Cars |||| |||| |||| ||, Buses |||| |, Bicycles ||||, Trucks |||| |||. Convert this to a frequency table and find what fraction of the total vehicles were cars.
Solution
- 1 Step 1: Count tallies: Cars = 5+5+5+2 = 17, Buses = 5+1 = 6, Bicycles = 5, Trucks = 5+3 = 8. Total = 17+6+5+8 = 36.
- 2 Step 2: Fraction of cars = .
Answer
Cars: 17, Buses: 6, Bicycles: 5, Trucks: 8. The fraction that were cars is .
Converting tally charts to frequency tables involves carefully counting each group of five and any remaining marks. Finding fractions from frequency tables is a common task that connects data representation to proportional reasoning.
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 mediumA survey asked 30 people their favourite season. The results are: Spring 8, Summer 11, Autumn 6, Win
Example 4 hardA tally chart records dice rolls. The tallies show: 1 (7 times), 2 (5 times), 3 (9 times), 4 (6 time
Example 5 mediumStudents were asked their favorite color: Red (7), Blue (12), Green (5), Yellow (3). Create the tall