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Math: Middle School: Grades 6, 7 and 8 Quiz - Data Handling - Frequency Diagrams (Questions)

This Math quiz is called 'Data Handling - Frequency Diagrams' and it has been written by teachers to help you if you are studying the subject at middle school. Playing educational quizzes is a fabulous way to learn if you are in the 6th, 7th or 8th grade - aged 11 to 14.

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Pie and bar charts are two examples of frequency diagrams. Collected data is of no use unless it can tell us something about the situation surveyed. To see patterns or connections in information we can display it in a variety of ways.

This Math quiz deals with diagrams used to illustrate frequency data.

1. A frequency diagram shows the telephone lines in a number of call centers. ☎ 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 center. How many lines are there at Ayford?
[ ] 4
[ ] 20
[ ] 40
[ ] 80
3. The Beeston center has 70 'phone lines. How many symbols are needed to represent Beeston?
[ ] 312
[ ] 7
[ ] 712
[ ] 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?
[ ]
[ ]
[ ]
[ ]
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
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Math: Middle School: Grades 6, 7 and 8 Quiz - Data Handling - Frequency Diagrams (Answers)
1. A frequency diagram shows the telephone lines in a number of call centers. ☎ 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 center. How many lines are there at Ayford?
[ ] 4
[ ] 20
[ ] 40
[x] 80
4 x 20 = 80
3. The Beeston center has 70 'phone lines. How many symbols are needed to represent Beeston?
[x] 312
[ ] 7
[ ] 712
[ ] 10
312 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?
[ ]
[ ]
[x]
[ ]
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 ¡Ü 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 ¡Â 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