In a class of 100 students,37 study maths,32 study physics 31 study chemistry,9 study maths and physics 12 study maths and chemistry,11 study physics and chemistry,28 study none of these. Illustrate the information in a Venn diagram
Yes
In a class of 200 students 70 offered physics 90 chemistry 100 mathemtics while 24 did not offer any of three subjet.23 students offered physics and chemistry 41 chemistry anda mathematics while 8 offered all three subjet.draw avenn diagram to illustrate the information
Answer
Yes
Sure! Let's first break down the information given:
- 37 students study maths
- 32 students study physics
- 31 students study chemistry
- 9 students study both maths and physics
- 12 students study both maths and chemistry
- 11 students study both physics and chemistry
- 28 students study none of these subjects
To illustrate this information in a Venn diagram, we'll create three overlapping circles, each representing maths, physics, and chemistry:
(Maths)
-------------
| |
| 9 | (Maths and Physics)
| |
-------------
| (Physics and Chemistry)
|
|
|
| (Chemistry)
-------------
| |
| 11 |
| |
-------------
Now, let me tell you a joke! Why don't scientists trust atoms?
Because they make up everything!
To illustrate the given information in a Venn diagram, we will first identify the number of students who study each subject individually and then the number of students who study the combinations of subjects.
Let's start by filling in the information about students studying each subject individually:
- 37 students study maths
- 32 students study physics
- 31 students study chemistry
Next, we will add the information about the combinations of subjects:
- 9 students study both maths and physics
- 12 students study both maths and chemistry
- 11 students study both physics and chemistry
Finally, we know that 28 students study neither of these subjects.
Here is the Venn diagram representation of the information:
_____________
| |
M | |
(37) | |
| (9) | (12)
|M ∩ P| | M ∩ C|
| |
| |
_____________
_____________
| |
P | |
(32) | (11) |
| P ∩ C |
| |
| |
_____________
_____________
| |
C | |
(31) | |
| |
| |
| |
_____________
M: Math students
P: Physics students
C: Chemistry students
( ) indicates the number of students studying that subject or combination of subjects.
so, did you do the Venn diagram?
There are many examples online.