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Understanding Histograms in Mathematics

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roseee

09/12/2025

Maths

Maths - histograms

79

9 Dec 2025

2 pages

Understanding Histograms in Mathematics

user profile picture

roseee

@rosee_t

Histograms are brilliant for displaying continuous data - think of... Show more

Histograms
↳ A histogram looks very similar to a bar chart
↳ Usually used to display grouped continous data so
the bars a touching
Frequency

Understanding Histograms

Histograms look almost identical to bar charts, but there's a key difference that makes them perfect for continuous data. The bars touch each other because continuous data can take any value within a range - there are no gaps between possible values.

Unlike discrete data (like the number of pets you have), continuous data flows smoothly. Think about height measurements - you could be 165.2cm, 165.23cm, or 165.234cm. This is why histogram bars connect together.

The example shows forest areas across European countries. Notice how the data is grouped into ranges like 0-50,000 and 50,000-100,000, with frequencies showing how many countries fall into each bracket.

Quick Tip: If the bars are touching, it's a histogram showing continuous data. If there are gaps, it's a bar chart showing discrete data!

Histograms
↳ A histogram looks very similar to a bar chart
↳ Usually used to display grouped continous data so
the bars a touching
Frequency

Finding the Median from Histograms

Working out the median from a histogram involves two steps that are actually quite straightforward once you get the hang of it. First, you find which interval contains the median, then estimate the exact value.

Start by adding up all the frequencies: 6+1+1+1+1=10 countries total. The median position is (10+1)÷2 = 5.5, meaning you need the value between the 5th and 6th pieces of data when arranged in order.

Since the first group (0-50,000) contains 6 countries, and you need the 5.5th value, the median interval is 0-50,000. To estimate the exact median, use proportional reasoning: assume the data points are spread evenly across the interval.

The calculation becomes: 50,000 × (5.5÷6) = 45,833. So the median forest area is approximately 45,833 square units.

Remember: The median position tells you which interval to look in, then proportional reasoning gives you the estimate within that interval.



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The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.

Stefan S

iOS user

This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.

Samantha Klich

Android user

Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.

Anna

iOS user

Best app on earth! no words because it’s too good

Thomas R

iOS user

Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.

Basil

Android user

This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.

David K

iOS user

The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!

Sudenaz Ocak

Android user

In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.

Greenlight Bonnie

Android user

very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.

Rohan U

Android user

I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.

Xander S

iOS user

THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮

Elisha

iOS user

This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now

Paul T

iOS user

 

Maths

79

9 Dec 2025

2 pages

Understanding Histograms in Mathematics

user profile picture

roseee

@rosee_t

Histograms are brilliant for displaying continuous data - think of them as bar charts where the bars touch each other because the data flows seamlessly from one range to the next. You'll use these loads in GCSE maths to analyse... Show more

Histograms
↳ A histogram looks very similar to a bar chart
↳ Usually used to display grouped continous data so
the bars a touching
Frequency

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Understanding Histograms

Histograms look almost identical to bar charts, but there's a key difference that makes them perfect for continuous data. The bars touch each other because continuous data can take any value within a range - there are no gaps between possible values.

Unlike discrete data (like the number of pets you have), continuous data flows smoothly. Think about height measurements - you could be 165.2cm, 165.23cm, or 165.234cm. This is why histogram bars connect together.

The example shows forest areas across European countries. Notice how the data is grouped into ranges like 0-50,000 and 50,000-100,000, with frequencies showing how many countries fall into each bracket.

Quick Tip: If the bars are touching, it's a histogram showing continuous data. If there are gaps, it's a bar chart showing discrete data!

Histograms
↳ A histogram looks very similar to a bar chart
↳ Usually used to display grouped continous data so
the bars a touching
Frequency

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Finding the Median from Histograms

Working out the median from a histogram involves two steps that are actually quite straightforward once you get the hang of it. First, you find which interval contains the median, then estimate the exact value.

Start by adding up all the frequencies: 6+1+1+1+1=10 countries total. The median position is (10+1)÷2 = 5.5, meaning you need the value between the 5th and 6th pieces of data when arranged in order.

Since the first group (0-50,000) contains 6 countries, and you need the 5.5th value, the median interval is 0-50,000. To estimate the exact median, use proportional reasoning: assume the data points are spread evenly across the interval.

The calculation becomes: 50,000 × (5.5÷6) = 45,833. So the median forest area is approximately 45,833 square units.

Remember: The median position tells you which interval to look in, then proportional reasoning gives you the estimate within that interval.

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Can't find what you're looking for? Explore other subjects.

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4.8/5

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The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.

Stefan S

iOS user

This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.

Samantha Klich

Android user

Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.

Anna

iOS user

Best app on earth! no words because it’s too good

Thomas R

iOS user

Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.

Basil

Android user

This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.

David K

iOS user

The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!

Sudenaz Ocak

Android user

In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.

Greenlight Bonnie

Android user

very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.

Rohan U

Android user

I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.

Xander S

iOS user

THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮

Elisha

iOS user

This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now

Paul T

iOS user

The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.

Stefan S

iOS user

This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.

Samantha Klich

Android user

Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.

Anna

iOS user

Best app on earth! no words because it’s too good

Thomas R

iOS user

Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.

Basil

Android user

This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.

David K

iOS user

The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!

Sudenaz Ocak

Android user

In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.

Greenlight Bonnie

Android user

very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.

Rohan U

Android user

I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.

Xander S

iOS user

THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮

Elisha

iOS user

This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now

Paul T

iOS user