SaiBook.us SAT-2

Lesson Example Discussion Quiz: Class Homework

Example

Title: Venn Diagrams, Circle graphs, Bar and Line Graphs

Grade: 1300-a Lesson: S4-L7

Explanation: The best way to understand SAT-2 is by looking at some examples. Take turns and read each example for easy understanding.

Examples:

In a group of 30 students:
a) 15 students play football
b) 10 students play basketball
c) 5 students play both football and basketball
We need to draw a Venn diagram and find out how many students play only football, only basketball, and neither sport.

Step 1a

Draw two overlapping circles
Circle - 1 Football
Circle - 2 Basketball
Overlapping area = 5.

Explanation: Here, we draw the two overlapping circles. One circle is Football and the other circle is Basketball. And overlapping area is 5.

Step 1b

The number of students who play only football in the football circle but outside the overlapping area: 15 - 5 = 10.
The number of students who play only basketball in the basketball circle but outside the overlapping area: 10 - 5 = 5.
Calculate the number of students who play neither sport: 30 - (10 + 5 + 5) = 10.
→ 10 students play only football (outside the overlap area, within the Football circle).
→ 5 students play both football and basketball (in the overlap area).
→ 5 students play only basketball (outside the overlap area, within the Basketball circle).
→ 10 students play neither sport (outside both circles).

Explanation: Here, 10 students play football, 5 students play football and basketball, 5 students play basketball, and 10 students play neither sport.

Step 1c

$1c$

Explanation: Here, we draw the all values in the Venn diagram.

A class of 30 students was surveyed about their favorite fruit. The results are as follows:
Apples: 12 students
Bananas: 8 students
Grapes: 6 students
Oranges: 4 students
We need to create a circle graph to represent this data.

Step 2a

Total students = 30
Apples: \$12/30 \times 100% = 40%\$
Bananas: \$8/30 \times100 % = 26.67%\$
Grapes: \$6/30 \times 100% = 20%\$
Oranges: \$4/30 \times 100% = 13.33%\$

Draw a circle
Divide the circle into 4 sectors according to the calculated percentages.

Explanation: Here, we calculate the percentage of each fruit and draw a circle to divide the values.

Step 2b

$2b$

Explanation: Here, we draw the graph
Therefore, Apples are 40%, Bananas are 26.67%, Grapes are 20%, and Oranges are 13.33%.

The data below shows the temperature in degrees Celsius at noon for a week.

$3$

Create a line graph to represent this data.

Step 3a

Draw the x-axis and y-axis. Label the x-axis with the days of the week and the y-axis with the temperature in degrees Celsius

Plot the temperature for each day Connect the points with straight lines.

Explanation: Here, we draw the x-axis and y-axis assign the values for each day in the graph, and connect them to form a straight line.

Step 3b

$3b$

Explanation: Here, we draw the graph that temperature is increasing exponentially.