 A pie chart is just one type of frequency diagram.

# Level 3-4 Data Handling - Frequency Diagrams

So, you've collected your data but how do you display the information? One way is through frequency diagrams. In this KS3 Maths quiz on data handling we look at how to interpret a frequency diagram and how to create one.

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. Pie charts, bar charts, line graphs, pictograms - these are all examples of frequency diagrams. In them we use a symbol (a 'wedge' of a pie chart, a bar in a bar chart, a point in a line graph or a picture in a pictogram) to show data. This could be the portion of people in a survey who gave a particular answer, the amount of hours daylight, the temperature or just about any other piece of data you want to represent.

To help you with frequency diagrams you can play this quiz. It deals with some of the many diagrams used to illustrate frequency data. Take your time and read each question carefully before picking your answers. Good luck!

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
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
80
4 x 20 = 80
3.
The Beeston centre has 70 'phone lines. How many symbols are needed to represent Beeston?
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
Line graph
Pictogram
Pie chart
5.
Temperature is measured on the vertical axis. What goes on the horizontal axis?
Week
Month
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?
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
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
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
5 cm
10 cm
25 ÷ 5 = 5
10.
Joining up the mid points of all the bars forms a frequency .......
graph
polygon
chart
table
Frequency polygons can be used to compare patterns in linked bar charts

Author:  Frank Evans