A group of 120 people were asked whether their income level is above or below $25,000 and whether they subscribe to a movie channel. The data from the survey is shown in the Venn diagram. Use the Venn diagram to find the missing values in the frequency table.

Which shows the correct values for the variables in the table?

A: a = 18, b = 34, c = 65
B: a = 34, b = 18, c = 68
C: a = 34, b = 68, c = 47
D: a = 47, b = 18, c = 68

The answer is B. Taking a look at the diagram, we see that there are 18 people in the overlap section, where people are both subscribers and below 25000. Hence b = 34. There are 34 people in the right-hand section, where they are subscribers but have an income that is not below 25000 (I.e. Above 25000). Hence a = 34. Finally, c is just the total of that row, so 55 + 13 = 68 = c.

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shivishivangi1679 shivishivangi1679 · Answer 2 · 2022-06-07T11:39:57+02:00

The correct values for the variables in the table would be option B: a = 34, b = 18, c = 68.

What is the Venn diagram?

Venn diagram represents the data or the relationship among things with the use of circles.

A group of 120 people was asked whether their income level is above or below $25,000 and whether they subscribe to a movie channel.

From the given Venn diagram,

We see that there are 18 people in the overlap section, where people are both subscribers and below 25000.

Hence b = 34.

There are 34 people in the right-hand section, where they are subscribers but have an income that is not below 25000 but above 25000.

Hence a = 34.

Finally, c is the total of that row,

So, 55 + 13 = 68 = c.

Therefore, the correct values for the variables in the table would be option B: a = 34, b = 18, c = 68

Learn more about Venn diagram;

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