Review the key concepts, formulae, and examples before starting your quiz.
🔑Concepts
Data: Information collected from surveys, observations, or experiments.
Tally Marks: A quick way to record data using strokes. For every 5th item, a diagonal line is drawn across four vertical lines ( with a strike through) to make counting easier.
Frequency: The total number of times a specific value or item appears in a data set.
Tally Chart: A table used to record and count data as it is being collected.
Frequency Table: A simplified table that shows categories and their total counts (frequencies) without the tally marks.
📐Formulae
💡Examples
Problem 1:
A teacher asks 10 students for their favorite fruit. The answers are: Apple, Banana, Apple, Orange, Apple, Banana, Apple, Orange, Apple, Banana. Create a tally chart and find the frequency of 'Apple'.
Solution:
Apple: (Frequency: 5), Banana: (Frequency: 3), Orange: (Frequency: 2).
Explanation:
For every 'Apple' mentioned, we draw one tally mark. Since there are 5 Apples, we draw 4 vertical lines and 1 diagonal line. The total count for Apple is its frequency.
Problem 2:
In a dice game, Sam rolled a 6-sided die several times and got these results: 1, 3, 1, 4, 1, 6, 3. Organize this data into a frequency table.
Solution:
Score 1: Frequency 3; Score 2: Frequency 0; Score 3: Frequency 2; Score 4: Frequency 1; Score 5: Frequency 0; Score 6: Frequency 1.
Explanation:
List all possible outcomes (1 to 6). Count how many times each number appears in the list. Note that if a number does not appear (like 2 and 5), its frequency is 0.
Problem 3:
A frequency table shows that 4 children like Red, 6 like Blue, and 2 like Green. How many children were surveyed in total?
Solution:
children.
Explanation:
To find the total number of people surveyed, you add up the frequencies of all the different categories.