The document discusses different data presentation methods including pie charts, line graphs, histograms, and histograms with unequal class intervals. It provides examples of how to represent various data sets visually using these different graph types, including steps for constructing the graphs, calculating values, and interpreting the results.

1. Unit 16
Data Presentation
Pie Charts

2. Here is table of time spent by a student on homework one evening
Represent the data with a pie chart
Subject Maths English Physics Art French History
Time
(mins)
50 20 30 20 30 30
Subject Time
Fraction of total
time
Angle
Maths 50
English 20
Physics 30
Art 20
French 30
History 30
TOTAL 180

3. Here is a table of time spent by a student on homework one evening
Subject Maths English Physics Art French History
Time
(mins)
50 20 30 20 30 30
Angle 100◦
40◦
60◦
40◦
60◦
60◦
MathsMaths
EnglishEnglish
PhysicsPhysics
ArtArt
FrenchFrench
HistoryHistory

4. Unit 16
Data Presentation
Line Graphs

5. Samuel recorded the temperature in his greenhouse at 6am each day
for a week. His records are shown on this line graph.
a)What was the temperature on Wednesday?
b)What was the lowest temperature recorded?
c)What was the highest temperature recorded?
25o
c25o
c
19o
c19o
c
30o
c30o
c

6. Unit 16
Data Presentation
Histograms

7. A group of students measured the reaction times of 50 other students.
The times are given below correct to the nearest hundredth of a
second.
Collect data into groups, using a tally chart.
0.44 0.32 0.31 0.47 0.27 0.31 0.40 0.28 0.16 0.26
0.33 0.46 0.41 0.33 0.31 0.28 0.38 0.29 0.17 0.26
0.29 0.40 0.29 0.24 0.41 0.22 0.25 0.47 0.31 0.36
0.49 0.21 0.42 0.43 0.28 0.36 0.24 0.37 0.43 0.27
0.49 0.16 0.29 0.30 0.41 0.27 0.29 0.28 0.40 0.42
Reaction Time (s) Tally Frequency
0.15 ≤ t < 0.20
0.20 ≤ t < 0.25
0.25 ≤ t < 0.30
0.30 ≤ t < 0.35
0.35 ≤ t < 0.40
0.40 ≤ t < 0.45
0.45 ≤ t < 0.50

8. Collect data into groups, using a tally chart.
Reaction Time (s) Tally Frequency
0.15 ≤ t < 0.20
0.20 ≤ t < 0.25
0.25 ≤ t < 0.30
0.30 ≤ t < 0.35
0.35 ≤ t < 0.40
0.40 ≤ t < 0.45
0.45 ≤ t < 0.50

9. Unit 16
Data Presentation
Histograms with Unequal Class

10. You can not draw histograms with equal intervals as the data is not
given in this way. So for each of the intervals, you need to give:
Weight (grams) Frequency
0 ≤ w < 40 5
40 ≤ w < 50 6
50 ≤ w < 60 8
60 ≤ w < 70 4
70 ≤ w < 100 2
Weight (grams) Frequency Frequency Density
0 ≤ w < 40 5
40 ≤ w < 50 6
50 ≤ w < 60 8
60 ≤ w < 70 4
70 ≤ w < 100 2
Now you can draw the histogram

11. Weight (grams) Frequency Frequency Density
0 ≤ w < 40 5
40 ≤ w < 50 6
50 ≤ w < 60 8
60 ≤ w < 70 4
70 ≤ w < 100 2