in a survey of 45 people,25 liked calypso and 37 reggae .some person liked both calypso and reggae
calculate
both reggae and calypso
reggae only
calypso only
draw a venn diagram to show the information
To calculate the number of people who liked both reggae and calypso, we need to find the intersection of the two groups. In this case, we know that 37 people liked reggae, 25 people liked calypso, and the total number of respondents is 45.
Step 1: Calculate the number of people who liked both reggae and calypso.
We can use the equation:
Number of people who liked both reggae and calypso = Number of people who liked reggae + Number of people who liked calypso - Total number of respondents
Number of people who liked both reggae and calypso = 37 + 25 - 45
Number of people who liked both reggae and calypso = 62 - 45
Number of people who liked both reggae and calypso = 17
Step 2: Calculate the number of people who liked reggae only.
We can use the equation:
Number of people who liked reggae only = Number of people who liked reggae - Number of people who liked both reggae and calypso
Number of people who liked reggae only = 37 - 17
Number of people who liked reggae only = 20
Step 3: Calculate the number of people who liked calypso only.
We can use the equation:
Number of people who liked calypso only = Number of People Who Liked calypso - Number of people who liked both reggae and calypso
Number of people who liked calypso only = 25 - 17
Number of people who liked calypso only = 8
Now, let's draw a Venn diagram to visualize the information.
_______________
/ \
/ \
| Calypso |
| |
| ___ |
| | 17 | |
|_______|_____|
| Reggae
\ /
\_______________/
In the Venn diagram, the overlapping region represents the 17 people who liked both reggae and calypso. The non-overlapping left area represents the 20 people who liked reggae only, and the non-overlapping right area represents the 8 people who liked calypso only.