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Maths Quiz - Level 3-4 Data Handling - Frequency Diagrams (Questions)

Hey there! So, you've gathered some cool information, but now what? Let's talk about a fun way to show it off - with frequency diagrams! In this awesome KS3 Maths quiz, we'll learn how to read and make these diagrams.

Make Learning Exciting - Explore how quizzes help

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Data is like a secret code - it only becomes useful when we understand it. That's where frequency diagrams come in! Imagine pie charts, bar charts, line graphs, and pictograms - they're like superhero disguises for our data. Each symbol (like a slice of pie or a bar) tells a story about the info we've collected. It could be about people's answers in a survey, hours of daylight, temperature, or anything else you want to show.

Exciting news! We've got a quiz to help you become a frequency diagram expert. It covers all sorts of diagrams that make data super cool. Take your time, read each question carefully, and good luck!

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1. A frequency diagram shows the telephone lines in a number of call centres. ☎ represents a fixed number of lines. This sort of diagram is called a .......
[ ] bar chart
[ ] line graph
[ ] pictogram
[ ] pie chart
2. One ☎ represents 20 'phone lines. The pictogram shows 4 symbols for the Ayford call centre. How many lines are there at Ayford?
[ ] 4
[ ] 20
[ ] 40
[ ] 80
3. The Beeston centre has 70 'phone lines. How many symbols are needed to represent Beeston?
[ ] 31⁄2
[ ] 7
[ ] 71⁄2
[ ] 10
4. The midnight temperatures, in °C, are recorded daily for a week. Which diagram is best for displaying this data?
[ ] Bar chart
[ ] Line graph
[ ] Pictogram
[ ] Pie chart
5. Temperature is measured on the vertical axis. What goes on the horizontal axis?
[ ] Week
[ ] Month
[ ] Day
[ ] Year
6. The recorded temperatures were: Mon 3°, Tue 2°, Wed 0°, Thu 1°, Fri 1°, Sat -1°, Sun -2°. What was the range of temperatures for the week?
[ ] 3°
[ ] 4°
[ ] 5°
[ ] 6°
7. A bar chart records the frequency and length of Tina's text messages (max length = 160 characters). The width of each bar, in characters, should be .......
[ ] 10
[ ] 20
[ ] 50
[ ] 100
8. Tina sends T texts. Which of these describes the category 'more than 20 but no more than 40 characters'?
[ ] 20 ≤ T ≤ 40
[ ] 20 < T < 40
[ ] 20 < T ≤ 40
[ ] 20 ≤ T < 40
9. On the vertical axis of the bar chart, 1 cm represents 5 texts. Tina sent 25 texts of 20 < T ≤ 40. How high is the bar for this category?
[ ] 2 cm
[ ] 4 cm
[ ] 5 cm
[ ] 10 cm
10. Joining up the mid points of all the bars forms a frequency .......
[ ] graph
[ ] polygon
[ ] chart
[ ] table

You can find more about this topic by visiting BBC Bitesize - Representing data

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Maths Quiz - Level 3-4 Data Handling - Frequency Diagrams (Answers)
1. A frequency diagram shows the telephone lines in a number of call centres. ☎ represents a fixed number of lines. This sort of diagram is called a .......
[ ] bar chart
[ ] line graph
[x] pictogram
[ ] pie chart
The clue is in the word - picto = picture
2. One ☎ represents 20 'phone lines. The pictogram shows 4 symbols for the Ayford call centre. How many lines are there at Ayford?
[ ] 4
[ ] 20
[ ] 40
[x] 80
4 x 20 = 80
3. The Beeston centre has 70 'phone lines. How many symbols are needed to represent Beeston?
[x] 31⁄2
[ ] 7
[ ] 71⁄2
[ ] 10
31⁄2 x 20 = 70
4. The midnight temperatures, in °C, are recorded daily for a week. Which diagram is best for displaying this data?
[ ] Bar chart
[x] Line graph
[ ] Pictogram
[ ] Pie chart
5. Temperature is measured on the vertical axis. What goes on the horizontal axis?
[ ] Week
[ ] Month
[x] Day
[ ] Year
The clue is in the word - daily
6. The recorded temperatures were: Mon 3°, Tue 2°, Wed 0°, Thu 1°, Fri 1°, Sat -1°, Sun -2°. What was the range of temperatures for the week?
[ ] 3°
[ ] 4°
[x] 5°
[ ] 6°
The range is the difference between the highest and lowest values. When negative numbers are involved, it's best to look at the number line
7. A bar chart records the frequency and length of Tina's text messages (max length = 160 characters). The width of each bar, in characters, should be .......
[ ] 10
[x] 20
[ ] 50
[ ] 100
This gives a sensible maximum of 8 bars
8. Tina sends T texts. Which of these describes the category 'more than 20 but no more than 40 characters'?
[ ] 20 ≤ T ≤ 40
[ ] 20 < T < 40
[x] 20 < T ≤ 40
[ ] 20 ≤ T < 40
The symbol ≤ means 'less than or equal to'
9. On the vertical axis of the bar chart, 1 cm represents 5 texts. Tina sent 25 texts of 20 < T ≤ 40. How high is the bar for this category?
[ ] 2 cm
[ ] 4 cm
[x] 5 cm
[ ] 10 cm
25 ÷ 5 = 5
10. Joining up the mid points of all the bars forms a frequency .......
[ ] graph
[x] polygon
[ ] chart
[ ] table
Frequency polygons can be used to compare patterns in linked bar charts
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