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Frequency table of 12, 15, 12, 13, 15, 15, 14, 12, 15, 13

Step by step, with the reason for every step · Frequency tables · Foundations

Step by step

The question

Question: make a frequency table of 12, 15, 12, 13, 15, 15, 14, 12, 15 and 13.

12, 15, 12, 13, 15, 15, 14, 12, 15, 13

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: 12, 13, 14 and 15.

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 12.

We cross it out, and put one mark next to 12.

Next is 15: one mark next to 15.

And so on: one mark for each number.

Every number is crossed out.

So every number has its mark.

3 Count

12 has 3 marks: f = 3.

13 has 2 marks: f = 2.

14 has 1 mark: f = 1.

15 has 4 marks: f = 4.

4 Check

Let's check.

We add the f column: 3 + 2 + 1 + 4 = 10.

There are 10 numbers in the list.

Every one is counted.

So it is right!

3 + 2 + 1 + 4 = 10 numbers

Let's look back.

First: list the values.

Then: tally.

Then: count.

Last: check.

Answer
12, 15, 12, 13, 15, 15, 14, 12, 15, 13

Your turn

Try this one yourself, then check:

Make a frequency table of 17, 19, 17, 16, 19, 19, 15, 17, 19, 16
Show the answer
x: 15, 16, 17, 19 f: 1, 2, 3, 4

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