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Ella carries out a survey on the 25 students in her class to see how many use Spotify (S) and how many use Netflix (N) - Junior Cycle Mathematics - Question 4 - 2018

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Ella carries out a survey on the 25 students in her class to see how many use Spotify (S) and how many use Netflix (N). Some of her results are shown in the bar char... show full transcript

Worked Solution & Example Answer:Ella carries out a survey on the 25 students in her class to see how many use Spotify (S) and how many use Netflix (N) - Junior Cycle Mathematics - Question 4 - 2018

Step 1

Use the results shown to complete the bar chart

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Answer

To complete the bar chart:

  • Spotify only: 3 students used only Spotify.
  • Netflix only: 4 students used only Netflix.
  • Spotify and Netflix: 10 students used both services.
  • Neither Spotify nor Netflix: 8 students did not use either service.

Thus, the completed bar chart will show:

  • Spotify only: 3
  • Netflix only: 4
  • Spotify and Netflix: 10
  • Neither: 8

Step 2

Use the results shown to complete the Venn diagram

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Answer

In the Venn diagram:

  • The section representing Spotify only will have 3.
  • The section representing Netflix only will have 4.
  • The overlapping section that shows students using both services (Spotify and Netflix) will be 10 students.
  • The area outside both circles that represents neither service will indicate 8 students.

So, the completed Venn diagram will have:

  • S (Spotify only): 3
  • N (Netflix only): 4
  • Intersection (Spotify and Netflix): 10
  • Outside (Neither): 8

Step 3

3 + 4 = ?

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Answer

When calculating the total number of students that used Spotify or Netflix:

We consider Spotify only and Netflix only:

Total = 3 (Spotify only) + 4 (Netflix only) = 7.

Step 4

10 students use Netflix but don’t use Spotify

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Answer

The statement refers to the students who use Netflix and excludes those who also use Spotify. Hence, this confirms that there are 10 individuals who are Netflix users only.

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