Did you know?
Did you know that Venn diagrams can be used to visually represent data and relationships between different variables? In this case, a Venn diagram can help us understand the reading habits of newspaper readers.
According to a survey of 290 newspaper readers, it was found that 181 of them read the Daily Times, 142 read The Guardian, and 117 read Punch. Additionally, it was discovered that each reader reads at least one of the three papers.
To answer the questions posed, the Venn diagram can provide the following information:
a. A Venn diagram can be used to illustrate this information by creating three overlapping circles representing each newspaper (Daily Times, The Guardian, and Punch). The number of readers in each section of overlap between the circles will represent the number of readers who read multiple papers.
b. i. To determine how many readers read all three papers, simply assess the portion where all three circles overlap. This can be calculated by finding the intersection of all three sets, which in this case is 0, as there is no information given about readers who read all three papers.
b. ii. To calculate how many readers read exactly two of the papers, look at the sections where two circles overlap. Using the given information, it can be determined that 75 readers read The Daily Times and The Guardian, 60 readers read The Daily Times and Punch, and 54 readers read The Guardian and Punch. By adding these figures together, we get a total of 189 readers who read exactly two of the papers.
b. iii. To determine how many readers read exactly one of the papers, look at the sections where only one circle is present. Again, using the given information, it can be determined that 181 readers read The Daily Times, 142 readers read The Guardian, and 117 readers read Punch. By adding these figures together, we get a total of 440 readers who read exactly one of the papers.
b. iv. To find out how many readers read The Guardian alone, we can look at the section where only The Guardian circle is present. According to the given data, 142 readers read The Guardian alone.
