Worked examples
The question
Question: make a frequency table of 2, 3, 3, 1, 2 and 3.
2, 3, 3, 1, 2, 3
The frequency of a number is how many times it comes.
frequency f = how many times
1 List the values
We write each value once, smallest first: 1, 2 and 3.
2 Tally
Careful!
Cross out each number as you count it.
Then none is missed, and none is counted twice.
Careful: cross out each number as you count it
The first number is 2.
We cross it out, and put one mark next to 2.
Next is 3: one mark next to 3.
And so on: one mark for each number.
Every number is crossed out.
So every number has its mark.
3 Count
1 has 1 mark: f = 1.
2 has 2 marks: f = 2.
3 has 3 marks: f = 3.
4 Check
Let's check.
We add the f column: 1 + 2 + 3 = 6.
There are 6 numbers in the list.
Every one is counted.
So it is right!
1 + 2 + 3 = 6 numbers
Let's look back.
First: list the values.
Then: tally.
Then: count.
Last: check.
▶ Watch it solved
The question
Question: make a frequency table of 4, 6, 5, 4, 6, 6, 3, 5, 6, 6 and 4.
4, 6, 5, 4, 6, 6, 3, 5, 6, 6, 4
The frequency of a number is how many times it comes.
frequency f = how many times
1 List the values
We write each value once, smallest first: 3, 4, 5 and 6.
2 Tally
Careful!
Cross out each number as you count it.
Then none is missed, and none is counted twice.
Careful: cross out each number as you count it
The first number is 4.
We cross it out, and put one mark next to 4.
Next is 6: one mark next to 6.
And so on: one mark for each number.
The fifth mark goes across the other four.
That makes a group of 5, easy to count.
Every number is crossed out.
So every number has its mark.
3 Count
3 has 1 mark: f = 1.
4 has 3 marks: f = 3.
5 has 2 marks: f = 2.
6 has 5 marks: f = 5.
4 Check
Let's check.
We add the f column: 1 + 3 + 2 + 5 = 11.
There are 11 numbers in the list.
Every one is counted.
So it is right!
1 + 3 + 2 + 5 = 11 numbers
Let's look back.
First: list the values.
Then: tally.
Then: count.
Last: check.
Answer 4, 6, 5, 4, 6, 6, 3, 5, 6, 6, 4
▶ Watch it solved
The question
Question: make a frequency table of 3, 1, 4, 1, 5, 2, 6, 5, 3, 5, 1, 4, 5, 2 and 5.
3, 1, 4, 1, 5, 2, 6, 5, 3, 5, 1, 4, 5, 2, 5
The frequency of a number is how many times it comes.
frequency f = how many times
1 List the values
We write each value once, smallest first: 1, 2, 3, 4, 5 and 6.
2 Tally
Careful!
Cross out each number as you count it.
Then none is missed, and none is counted twice.
Careful: cross out each number as you count it
The first number is 3.
We cross it out, and put one mark next to 3.
Next is 1: one mark next to 1.
And so on: one mark for each number.
The fifth mark goes across the other four.
That makes a group of 5, easy to count.
Every number is crossed out.
So every number has its mark.
3 Count
1 has 3 marks: f = 3.
2 has 2 marks: f = 2.
And the same for the rest.
4 Check
Let's check.
We add the f column: 3 + 2 + 2 + 2 + 5 + 1 = 15.
There are 15 numbers in the list.
Every one is counted.
So it is right!
3 + 2 + 2 + 2 + 5 + 1 = 15 numbers
Let's look back.
First: list the values.
Then: tally.
Then: count.
Last: check.
Answer 3, 1, 4, 1, 5, 2, 6, 5, 3, 5, 1, 4, 5, 2, 5
▶ Watch it solved