The document discusses different types of graphs used to represent organized data, including pie charts, bar graphs, line graphs, histograms, and ogives. It provides examples and explanations of how to construct and interpret each graph type. Key points covered include how pie charts show discrete data as proportional sectors of a circle, how bar graphs use horizontal or vertical bars to represent data quantities, and how line graphs show changes in a measurement over time.
Overview of data representation expectations through various graph types including pie, bar, line, histogram, and ogive.
Graphs provide a visual representation of data. Pie charts show data as sectors of a circle, representing proportional data. Detailed explanations of pie charts, including sector calculations, data interpretation using angles, fractions, and percentages.
Questions based on a pie graph's data analysis, focusing on students' preferred weekend activities.
Bar graphs use bars to represent data quantities. Key features include equal bar widths, axes labeling, and the importance of titles.
Line graphs effectively show continuous data changes over time, illustrating trends based on plotted points.
Detailing how to plot data on line graphs to visualize trends and measure specific points over time.
Histograms represent frequency data using bars without gaps. Steps for construction include determining boundaries and frequencies.
Ogives represent cumulative frequencies, constructed from cumulative frequency histograms.
Guidelines on choosing appropriate graphs based on the type of data being represented.
Tasks that challenge students to select the correct graph types based on given scenarios and datasets.Practical applications of bar graphs to analyze student preferences and bookstore sales data.
Analysis of a line graph regarding changes in height, prompting questions about specific data points in Elizabeth's growth.
Today you areexpected to:
1.Use appropriate graphs to represent
organized data
2.Present data using:
a.Pie chart
b.bar graph
c. line graph
d.Histogram
e.Ogive
Graph
is an effectiveway in presenting
data than a mass number, it used
to present a visual picture of the
data gathered. This can be done
using the different kinds of graphs.
Pie charts showdata as proportional sectors of a circle.
It is a circle divided into a parts or sectors that are proportional to the
size of corresponding frequencies or percentages. To get the angle of each
sector we use:
•Angle of sector = frequency___ x 360
Total Frequency
Pie Charts
7.
Pie charts showdata as proportional sectors of a circle.
It is a circle divided into a parts or sectors that are proportional to the
size of corresponding frequencies or percentages. To get the angle of each
sector we use:
•Angle of sector = frequency___ x 360
Total Frequency
Pie Charts
8.
Pie charts showdiscrete data as proportional sectors of a circle.
Every sector of a pie chart is a proportion of the whole. You can explain what
each sector represents using an angle, fraction or percentage.
Being able to convert between fractions, percentages and angles is a key skill for
answering questions about data presented in a pie chart.
Pie Charts
9.
Pie charts showdiscrete data as proportional sectors of a circle.
Every sector of a pie chart is a proportion of the whole. You can explain what
each sector represents using an angle, fraction or percentage.
Being able to convert between fractions, percentages and angles is a key skill for
answering questions about data presented in a pie chart.
Pie Charts
10.
Pie charts showdiscrete data as proportional sectors of a circle.
Every sector of a pie chart is a proportion of the whole. You can explain what
each sector represents using an angle, fraction or percentage.
Being able to convert between fractions, percentages and angles is a key skill for
answering questions about data presented in a pie chart.
Pie Charts
11.
Pie charts showdiscrete data as proportional sectors of a circle.
Every sector of a pie chart is a proportion of the whole. You can explain what
each sector represents using an angle, fraction or percentage.
Being able to convert between fractions, percentages and angles is a key skill for
answering questions about data presented in a pie chart.
We can use fraction, percentage and
angle equivalents to interpret the data
in a pie chart.
Pie Charts
13.
Based on thePie Graph, answer
the following questions:
1. What is the most preferred
activity of the students during
weekends?
2. What is the least preferred
activity?
3. What is the percentage of the
students doing house chores?
4. What is the percentage of the
students who loved to have
bonding with their family during
weekends?
5. What is the percentage of the
students surfing internet during
weekends?
a graph whichuses horizontal or vertical bars to
represent data. The length of the bars represents a
quantity. The bars should be of the same width and
should be shaped out evenly
Bar Graph
16.
a graph whichuses horizontal or vertical bars to
represent data. The length of the bars represents a
quantity. The bars should be of the same width and
should be shaped out evenly
Bar Graph
17.
a graph whichuses horizontal or vertical bars to
represent data. The length of the bars represents a
quantity. The bars should be of the same width and
should be shaped out evenly
Bar Graph
18.
a graph whichuses horizontal or vertical bars to
represent data. The length of the bars represents a
quantity. The bars should be of the same width and
should be shaped out evenly
A bar graph has a horizontal axis and a vertical axis.
Bar Graph
19.
a graph whichuses horizontal or vertical bars to
represent data. The length of the bars represents a
quantity. The bars should be of the same width and
should be shaped out evenly
A bar graph has a horizontal axis and a vertical axis.
• A bar graph must always have a title
explaining what it shows.
• Bars must be carefully drawn to show
the data.
• There must be a gap between each bar.
• Each bar must be the same width.
Bar Graph
20.
a graph whichuses horizontal or vertical bars to
represent data. The length of the bars represents a
quantity. The bars should be of the same width and
should be shaped out evenly
A bar graph has a horizontal axis and a vertical axis.
• A bar graph must always have a title
explaining what it shows.
• Bars must be carefully drawn to show
the data.
• There must be a gap between each bar.
• Each bar must be the same width.
A number line is marked on the vertical axis.
The scale of this number line is chosen based
on the data range.
The data categories are organized on the
horizontal axis.
Each axis must have a label explaining what
it shows.
Bar Graph
Line graphs areused to show changes
to a measurement over time. They
show continuous data.
Line Graph
23.
Line graphs areused to show changes
to a measurement over time. They
show continuous data.
Line Graph
Example:
The table shows Chloe’s Savings for 4
weeks.
24.
Line graphs areused to show changes
to a measurement over time. They
show continuous data.
Line Graph
Example:
The table shows Chloe’s Savings for 4
weeks.
25.
Line graphs areused to show changes
to a measurement over time. They
show continuous data.
Line Graph
Example:
The table shows Chloe’s Savings for 4
weeks.
26.
Line graphs areused to show changes
to a measurement over time. They
show continuous data.
The data being measured is shown on
the vertical axis.
The time the data is being measured
over is shown on the horizontal axis.
Line Graph
Example:
The table shows Chloe’s Savings for 4
weeks.
27.
Data is plottedon to a line graph in
the same way as a coordinate grid.
These data plots are then joined with
straight lines.
Line graphs are used to show changes
to a measurement over time. They
show continuous data.
The data being measured is shown on
the vertical axis.
The time the data is being measured
over is shown on the horizontal axis.
Line Graph
Example:
The table shows Chloe’s Savings for 4
weeks.
28.
Data is plottedon to a line graph in
the same way as a coordinate grid.
These data plots are then joined with
straight lines.
Line graphs are used to show changes
to a measurement over time. They
show continuous data.
The data being measured is shown on
the vertical axis.
The time the data is being measured
over is shown on the horizontal axis.
We can use the line of the graph to
describe general trends in the change of
the measurement over time, or to find
precise measurements at a given time.
Line Graph
Example:
The table shows Chloe’s Savings for 4
weeks.
29.
It is agraph that make use of
vertical bars to represent
frequencies. The bars in the
histogram are of the same width.
There are no spaces between them.
Steps in constructing Histogram
1. Determine the class boundaries
2. Draw x and y axes
3. Indicate the class boundaries
on the x-axis and the frequencies
on the axis
4. Draw vertical bars whose
heights correspond to the
frequencies for each class.
Histogram
Example: The following data shows the
scores in a 20 -Item test Score in Science
30.
Histogram
0
20
40
60
80
100
1st Qtr 2ndQtr 3rd Qtr 4th Qtr
A Bar Chart
Sales of Paddling Pools per quarter
A Frequency Diagram
0 2 4 6 8 10
Time taken to complete a Table Test
Time in Minutes
1
2
3
4
5
6
Frequency
Spot the differences from a bar chart to a frequency diagram:
• There are no gaps between the bars
• The horizontal axis has a continuous scale as it represents
continuous data
• The width of the bars is the full width of the class interval
• The class intervals (the width of the bars) is the same for all bars
31.
An ogive isa graph that represents cumulative frequencies of a data
set. It is constructed from a cumulative frequency histogram.
Ogive
Step 1: Draw a Cumulative Relative Frequency Histogram
32.
An ogive isa graph that represents cumulative frequencies of a data
set. It is constructed from a cumulative frequency histogram.
Ogive
Step 2: Draw the Ogive Curve
33.
An ogive isa graph that represents cumulative frequencies of a data
set. It is constructed from a cumulative frequency histogram.
Ogive
Step 3: Remove the Histogram (optional)
34.
ď‚§ Use abar graph if you want to
show relationships between
groups.
Choosing the Right Graph
35.
ď‚§ Use abar graph if you want to
show relationships between
groups.
Choosing the Right Graph
ď‚§ Use a pie chart if you need to
compare different parts of a
whole, there is NO time involved
and there are NOT too many
items (or categories)
36.
ď‚§ Use abar graph if you want to
show relationships between
groups.
Choosing the Right Graph
ď‚§ Use a pie chart if you need to
compare different parts of a
whole, there is NO time involved
and there are NOT too many
items (or categories)
ď‚§ Use a line graph if you need to
see how a quantity has changed
over time. Line graphs enable us
to find trends (or patterns) over
time.
37.
Learning Task 1
Directions:Choose the letter of the graph appropriate to the given situation. Write only the
CAPITAL LETTER on the space provided before the number.
_______1.) Which is the best type of graph to show the proportion of students who own a cat, dog,
fish, bird, or no pet?
A. circle graph C. pictograph
B. line graph D. bar graph
_______2.) Which type of graph would best show the percentage of female students who have very
short, short, shoulder length, and long hair?
A. pictograph C. bar graph
B. circle graph D. line graph
_______3.) Which is the best type of graph to show the number of people in four different
barangays?
A. line graph C. pictograph
B. bar graph D. circle graph
_______4.) Which type of graph would best show increase in the number of teachers in a public
school in a municipality?
A. bar graph C. circle graph
B. line graph D. pictograph
_______5.) Which is the best type of graph to show the kilograms of garbage and kilograms of
recycling produced by four different schools?
A. circle graph C. line graph
B. pictograph D. bar graph
38.
Learning Task 1
Directions:Choose the letter of the graph appropriate to the given situation. Write only the
CAPITAL LETTER on the space provided before the number.
_______1.) Which is the best type of graph to show the proportion of students who own a cat, dog,
fish, bird, or no pet?
A. circle graph C. pictograph
B. line graph D. bar graph
39.
Learning Task 1
Directions:Choose the letter of the graph appropriate to the given situation. Write only the
CAPITAL LETTER on the space provided before the number.
_______1.) Which is the best type of graph to show the proportion of students who own a cat, dog,
fish, bird, or no pet?
A. circle graph C. pictograph
B. line graph D. bar graph
A
40.
Learning Task 1
Directions:Choose the letter of the graph appropriate to the given situation. Write only the
CAPITAL LETTER on the space provided before the number.
_______1.) Which is the best type of graph to show the proportion of students who own a cat, dog,
fish, bird, or no pet?
A. circle graph C. pictograph
B. line graph D. bar graph
_______2.) Which type of graph would best show the percentage of female students who have very
short, short, shoulder length, and long hair?
A. pictograph C. bar graph
B. circle graph D. line graph
A
41.
Learning Task 1
Directions:Choose the letter of the graph appropriate to the given situation. Write only the
CAPITAL LETTER on the space provided before the number.
_______1.) Which is the best type of graph to show the proportion of students who own a cat, dog,
fish, bird, or no pet?
A. circle graph C. pictograph
B. line graph D. bar graph
_______2.) Which type of graph would best show the percentage of female students who have very
short, short, shoulder length, and long hair?
A. pictograph C. bar graph
B. circle graph D. line graph
A
B
42.
Learning Task 1
Directions:Choose the letter of the graph appropriate to the given situation. Write only the
CAPITAL LETTER on the space provided before the number.
_______1.) Which is the best type of graph to show the proportion of students who own a cat, dog,
fish, bird, or no pet?
A. circle graph C. pictograph
B. line graph D. bar graph
_______2.) Which type of graph would best show the percentage of female students who have very
short, short, shoulder length, and long hair?
A. pictograph C. bar graph
B. circle graph D. line graph
_______3.) Which is the best type of graph to show the number of people in four different
barangays?
A. line graph C. pictograph
B. bar graph D. circle graph
A
B
43.
Learning Task 1
Directions:Choose the letter of the graph appropriate to the given situation. Write only the
CAPITAL LETTER on the space provided before the number.
_______1.) Which is the best type of graph to show the proportion of students who own a cat, dog,
fish, bird, or no pet?
A. circle graph C. pictograph
B. line graph D. bar graph
_______2.) Which type of graph would best show the percentage of female students who have very
short, short, shoulder length, and long hair?
A. pictograph C. bar graph
B. circle graph D. line graph
_______3.) Which is the best type of graph to show the number of people in four different
barangays?
A. line graph C. pictograph
B. bar graph D. circle graph
A
B
B
44.
Learning Task 1
Directions:Choose the letter of the graph appropriate to the given situation. Write only the
CAPITAL LETTER on the space provided before the number.
_______1.) Which is the best type of graph to show the proportion of students who own a cat, dog,
fish, bird, or no pet?
A. circle graph C. pictograph
B. line graph D. bar graph
_______2.) Which type of graph would best show the percentage of female students who have very
short, short, shoulder length, and long hair?
A. pictograph C. bar graph
B. circle graph D. line graph
_______3.) Which is the best type of graph to show the number of people in four different
barangays?
A. line graph C. pictograph
B. bar graph D. circle graph
_______4.) Which type of graph would best show increase in the number of teachers in a public
school in a municipality?
A. bar graph C. circle graph
B. line graph D. pictograph
A
B
B
45.
Learning Task 1
Directions:Choose the letter of the graph appropriate to the given situation. Write only the
CAPITAL LETTER on the space provided before the number.
_______1.) Which is the best type of graph to show the proportion of students who own a cat, dog,
fish, bird, or no pet?
A. circle graph C. pictograph
B. line graph D. bar graph
_______2.) Which type of graph would best show the percentage of female students who have very
short, short, shoulder length, and long hair?
A. pictograph C. bar graph
B. circle graph D. line graph
_______3.) Which is the best type of graph to show the number of people in four different
barangays?
A. line graph C. pictograph
B. bar graph D. circle graph
_______4.) Which type of graph would best show increase in the number of teachers in a public
school in a municipality?
A. bar graph C. circle graph
B. line graph D. pictograph
A
B
B
B
46.
Learning Task 1
Directions:Choose the letter of the graph appropriate to the given situation. Write only the
CAPITAL LETTER on the space provided before the number.
_______1.) Which is the best type of graph to show the proportion of students who own a cat, dog,
fish, bird, or no pet?
A. circle graph C. pictograph
B. line graph D. bar graph
_______2.) Which type of graph would best show the percentage of female students who have very
short, short, shoulder length, and long hair?
A. pictograph C. bar graph
B. circle graph D. line graph
_______3.) Which is the best type of graph to show the number of people in four different
barangays?
A. line graph C. pictograph
B. bar graph D. circle graph
_______4.) Which type of graph would best show increase in the number of teachers in a public
school in a municipality?
A. bar graph C. circle graph
B. line graph D. pictograph
_______5.) Which is the best type of graph to show the kilograms of garbage and kilograms of
recycling produced by four different schools?
A. circle graph C. line graph
B. pictograph D. bar graph
A
B
B
B
47.
Learning Task 1
Directions:Choose the letter of the graph appropriate to the given situation. Write only the
CAPITAL LETTER on the space provided before the number.
_______1.) Which is the best type of graph to show the proportion of students who own a cat, dog,
fish, bird, or no pet?
A. circle graph C. pictograph
B. line graph D. bar graph
_______2.) Which type of graph would best show the percentage of female students who have very
short, short, shoulder length, and long hair?
A. pictograph C. bar graph
B. circle graph D. line graph
_______3.) Which is the best type of graph to show the number of people in four different
barangays?
A. line graph C. pictograph
B. bar graph D. circle graph
_______4.) Which type of graph would best show increase in the number of teachers in a public
school in a municipality?
A. bar graph C. circle graph
B. line graph D. pictograph
_______5.) Which is the best type of graph to show the kilograms of garbage and kilograms of
recycling produced by four different schools?
A. circle graph C. line graph
B. pictograph D. bar graph
A
B
B
B
D
48.
Bar Graph
Favorite colorof 200 students of a class are given in the below
table.
Answer the following questions with the help of the bar graph.
(1) Which is the most preferred color and which is the least
preferred?
(2) How many students preferred red color?
49.
Bar Graph
Books soldby a bookstore during consecutive years are given in below
bar graph.
Read the bar graph and answer the following questions.
(1) How many books were sold in 2010, 2011 and 2012?
(2) In which year 1300 books sold?
(3) In which year fewest books sold?
(4)In which year highest score of books sold by bookstore?
50.
Line Graph
A linegraph given below shows how Elizabeth's height changes as she
grows.
Given below is a line graph showing the height changes in Elizabeth as
she grows. Observe the graph and answer the questions below.
51.
1. What wasthe height of Elizabeth at 8 years?
2. What was the height of Elizabeth at 6 years?
3. What was the height of Elizabeth at 2 years?
4. How much has Elizabeth grown from 2 to 8 years?
5. When was Elizabeth 35 inches tall?