Suggested languages for you:
|
|

## All-in-one learning app

• Flashcards
• NotesNotes
• ExplanationsExplanations
• Study Planner
• Textbook solutions

# Frequency, Frequency Tables and Levels of Measurement

Frequency, Frequency Tables and Levels of Measurement

Have you ever wondered how your teacher may keep track of the results from a test? Or maybe how they may record the information to find out the most common results? When data is collected it can be useful to sort it and display it in a way that is easy to read. This is sometimes known as a way of representing data. One way of representing data is through a frequency table.

Frequency is a term that describes the number of times a value occurs in a collection of data.

## Frequency tables definition

A frequency table is a type of table used to represent the different frequencies from a collection of data.

Steve flips a coin 5 times to find out whether it will land showing heads or tails. He records the results of each flip in a table.

Steve flips the coin another 5 times.

We can now place the results from both tests into one frequency table:

This tells us that out of the 10 coin tosses Steve made, 6 landed with heads facing up and 4 with tails facing up.

## Frequency table examples

A frequency table can be useful when you have a large amount of data, this is because it groups the data into groups making it easier to understand.

A frequency table can look like this:

 Variable Tally Frequency 1 - 5 5 6 - 10 3 11 - 15 7

### How to create a frequency table

In order to create a frequency table, you must first look at your data and create suitable groups. Your group size may depend on the number of variables you have. Once you have grouped your data you can tally the number of times each variable occurs to find out the frequency. Let's have a look at an example:

A year 7 class has completed a maths test. The results, as a percentage, from the 25 students have been recorded below:

 63 73 39 45 82 28 77 64 35 47 92 57 85 53 62 66 59 46 91 82 74 46 28 46 90

In order to put this into a frequency table, you first need to find the group sizes, the smallest variable is 28 and the biggest variable is 92. This data could be split into 7 groups:

 Test Results (%) 25 - 35 36 - 45 46 - 55 56 - 65 66 - 75 76 - 85 86 - 95

Now you can go through the data and mark a tally where the variables fall into each group:

 Test Results (%) Tally 25 - 35 36 - 45 46 - 55 56 - 65 66 - 75 76 - 85 86 - 95

Finally, you can add the next column, the frequency for each of the groups:

 Test Results (%) Tally Frequency 25 - 35 3 36 - 45 2 46 - 55 5 56 - 65 5 66 - 75 3 76 - 85 4 86 - 95 3

From this frequency table, you can now understand the data much easier. Just by taking a quick look, you can easily see that 5 students scored between 46% and 55% on the maths test.

Sometimes, there may only be a small amount of variables, if this is the case there may not be a need to group them. For example, if you are looking at the number of siblings people have and the variables range from 0 - 4, you could just look at each variable separately.

A group of students records the number of cups of coffee they drink per day. The results are shown below:

 2 3 6 1 0 3 4 2 2 3 5 1 1 4 2 7 3 2 5 1

To put this into a frequency table, you first need to find the group sizes, the smallest variable is 0 and the biggest variable is 6:

 Number of coffees 0-1 2-3 4-5 6-7
Now you can through the data and mark a tally where the variables fall into each group:
 Number of coffees Tally 0-1 2-3 4-5 6-7

Finally, you can add the next column, the frequency for each of the groups:

 Number of Coffees Tally Frequency 0-1 5 2-3 9 4-5 4 6-7 2

By creating this frequency table you can now much easier read that the most common amount of coffees that a group of students drinks in a day is between 2 and 3.

## Level of measurement in statistics

The level of measurement tells you how data is recorded. There are four different levels of measurements used in statistics:

• Nominal
• Ordinal
• Interval
• Ratio

### Nominal

The nominal level of measurement is data that can be categorised but the data has no order.

Place of birth, eye colour, gender.

### Ordinal

The ordinal level of measurement is data that can be categorised and ordered. Although there is an order between the data, you cannot see the intervals between each variable.

Satisfaction survey, top 5 goal scorers.

### Interval

The interval level of measurement is data that can be categorised and ranked and there is a scale on which you know the difference between each of the variables.

Temperature, test scores.

### Ratio

The ratio level of measurement gives an order to the variables, where there is a difference between the variables, as well as a true zero point.

Height, age.

The true zero indicates that there is an absence of something on the scale.

## Level of Measurement Examples

Data is taken from a class to find out the most common hair colour. The results collected can be considered as the nominal level of measurement since the data can be categorised.

The weights of different piles of sugar are recorded. One result shows 0 kg. This can be considered the ratio level of measurement since there is a chance of a true zero within the results.

A group of people is asked what their highest level of education is. The results collected from this can be considered as the ordinal level of measurement since they can be categorised and ordered.

The temperature is recorded over a period of a week. When these results are collected the data can be considered as the interval level of measurement since the temperature has evenly spaced intervals.

## Frequency, Frequency Tables and Levels of Measurement - Key takeaways

• Frequency tables can be used to display data and help to easily understand data.
• To create a frequency table you must first group your data, before tallying up the amount of variables that fall into each group.
• There are four levels of measurement:
• Nominal
• Ordinal
• Interval
• Ratio

## Frequently Asked Questions about Frequency, Frequency Tables and Levels of Measurement

A frequency table is a way of representing a collection of data.

To create a frequency table you start by grouping the variables before counting the amount of times the data falls into each of the groups and finding the frequency.

• Nominal
• Ordinal
• Interval
• Ratio

To calculate the frequency of the data, you can use a frequency table. First you group the data before tallying the amount of variables that fall into each group.

There are two types of frequency tables; grouped data and ungrouped data frequency tables.

## Final Frequency, Frequency Tables and Levels of Measurement Quiz

Question

What is frequency?

Frequency is a term that describes the number of times a value occurs in a collection of data.

Show question

Question

What is a frequency table?

A frequency table is a type of table used to represent the different frequencies from a collection of data.

Show question

Question

How do you create a frequency table?

To create a frequency table you must first group your data into suitable group sizes. You can then tally the number of times each variable occurs to find out the frequency.

Show question

Question

What are the four levels of measurement?

• Nominal
• Ordinal
• Interval
• Ratio

Show question

Question

What is the nominal level of measurement?

The nominal level of measurement is data that can be categorised but the data has no order.

Show question

Question

What is the ordinal level of measurement?

The ordinal level of measurement is data that can be categorised and ordered. However, you cannot see the intervals between the variables.

Show question

Question

What is the interval level of measurement?

The interval level of measurement is data that can be categorised, ranked and there is a scale in which you know the difference between each of the variables.

Show question

Question

What is the ratio level of measurement?

The ratio level of measurement gives an order to the variables, where there is a difference between the variables, as well as a true zero point.

Show question

Question

What does the term true zero mean?

The true zero indicates that there is an absence of something on the scale.

Show question

Question

A group of year 10 students run a 100 m race, the times in seconds are recorded below. Create a frequency table to find out how many students ran the race in under 40 seconds.

34, 56, 23, 21, 44, 23, 54, 23, 45, 43, 37, 27, 45, 34, 67, 29, 58, 41, 36, 31, 47, 39

12 students ran the race in under 40 seconds.

Show question

Question

After an easter egg hunt, the participants counted how many eggs they had found. The amount of eggs each person found was recorded below. Create a frequency table to help you find out how many people found 7 or more eggs.

3, 5, 2, 7, 10, 8, 11, 5, 6, 2, 9, 1, 5, 8, 3, 6, 10, 13, 4, 1, 6, 3, 8, 9, 4, 7, 8, 3

12 people found 7 or more eggs in the hunt.

Show question

Question

What are the benefits of a frequency table?

When you have a big collection of data, putting it into a frequency table can make it easier to understand and interpret.

Show question

Question

What are some examples of nominal levels of measurement?

Place of birth, eye colour, gender.

Show question

Question

What are some examples of interval levels of measurement?

Temperature, time, test scores

Show question

Question

What are some examples of ratio levels of measurement?

Height, age.

Show question

More about Frequency, Frequency Tables and Levels of Measurement
60%

of the users don't pass the Frequency, Frequency Tables and Levels of Measurement quiz! Will you pass the quiz?

Start Quiz

## Study Plan

Be perfectly prepared on time with an individual plan.

## Quizzes

Test your knowledge with gamified quizzes.

## Flashcards

Create and find flashcards in record time.

## Notes

Create beautiful notes faster than ever before.

## Study Sets

Have all your study materials in one place.

## Documents

Upload unlimited documents and save them online.

## Study Analytics

Identify your study strength and weaknesses.

## Weekly Goals

Set individual study goals and earn points reaching them.

## Smart Reminders

Stop procrastinating with our study reminders.

## Rewards

Earn points, unlock badges and level up while studying.

## Magic Marker

Create flashcards in notes completely automatically.

## Smart Formatting

Create the most beautiful study materials using our templates.