in a survey of 290 news papper reader,181 of them read the daily times,142 read the daily times,142 read the guardian,117 read the d punch and each reads atleast on of the 3 news papper,if 75 read the daily time and guardian,60 read the daily time and the punch and 54 read the guardian and punch 1:locate the information on ven diagram 2: how many reader read all th 3paper,exactly 2 of the paper,exactly 1 of the paper,the gaurdian alone
you say
181 of them read the daily times,142 read the daily times
fix your post, and describe how you plan to fill in the Venn diagram.
to solve it
To find the information on a Venn diagram, we can start by drawing three overlapping circles, each representing one of the three newspapers: the Daily Times, the Guardian, and the Punch. We will label these circles accordingly.
Next, we can fill in the information that we have:
- 181 readers read the Daily Times.
- 142 readers read the Guardian.
- 117 readers read the Punch.
- 75 readers read both the Daily Times and the Guardian.
- 60 readers read both the Daily Times and the Punch.
- 54 readers read both the Guardian and the Punch.
- All readers read at least one newspaper.
To fill in the Venn diagram, we can start by placing the values that we know in the corresponding intersecting regions.
Now, let's calculate the missing values:
1. To find the number of readers who read all three papers, we can calculate the intersection of all three circles. However, this information is not given directly in the question, so we cannot determine the exact number of readers who read all three papers.
2. To find the number of readers who read exactly two papers, we can add up the values in the intersecting regions of the Venn diagram:
- The region where the Daily Times and the Guardian circles overlap has 75 readers.
- The region where the Daily Times and the Punch circles overlap has 60 readers.
- The region where the Guardian and the Punch circles overlap has 54 readers.
Adding these values together: 75 + 60 + 54 = 189
Thus, 189 readers read exactly two of the newspapers.
3. To find the number of readers who read exactly one paper, we need to subtract the values of readers who read two or all three papers, from the total number of readers. So, the calculation would be:
Total readers - (Readers who read exactly two papers + Readers who read all three papers)
Total readers = 290
Readers who read exactly two papers = 189
Readers who read all three papers = Unknown
Thus, we are unable to determine the number of readers who read exactly one paper without the value of readers who read all three papers.
4. To find the number of readers who read the Guardian alone, we need to subtract the values of readers who read the Guardian along with the Daily Times or the Punch, from the total number of readers who read the Guardian.
Readers who read both the Guardian and the Daily Times = 75
Readers who read both the Guardian and the Punch = 54
The number of readers who read the Guardian alone = Readers who read the Guardian - (Readers who read both the Guardian and the Daily Times + Readers who read both the Guardian and the Punch)
Number of readers who read the Guardian alone = 142 - (75 + 54)
Number of readers who read the Guardian alone = 142 - 129
Number of readers who read the Guardian alone = 13
Therefore, based on the information given, we can locate the values on the Venn diagram, find the number of readers who read exactly two papers, and determine the number of readers who read the Guardian alone. However, we cannot determine the exact number of readers who read all three papers or exactly one paper without additional information.