Tally Chart Statistics Example 4
Follow the full solution, then compare it with the other examples linked below.
Example 4
hardA tally chart records dice rolls. The tallies show: 1 (7 times), 2 (5 times), 3 (9 times), 4 (6 times), 5 (4 times), 6 (9 times). There were supposed to be 42 rolls total. Is the tally chart consistent? If a fair die were rolled 42 times, what would you expect each frequency to be?
Solution
- 1 Step 1: Sum the frequencies: . This is only 40, not 42, so 2 rolls are missing — the chart is inconsistent.
- 2 Step 2: For a fair die with 42 rolls, expected frequency per face = .
Answer
The tally chart is inconsistent — it only totals 40 out of 42 rolls. For a fair die, each face would be expected to appear 7 times.
Checking that tally frequencies sum to the expected total is an important verification step. The expected frequency for a fair die is the total number of rolls divided equally among the possible outcomes, though actual results will vary due to randomness.
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 3 mediumA student's tally chart for types of vehicles passing the school shows: Cars |||| |||| |||| ||, Buse
Example 5 mediumStudents were asked their favorite color: Red (7), Blue (12), Green (5), Yellow (3). Create the tall