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Answer:
The juniors and seniors at Lawrence High School are required to enroll in one fine arts elective each year. The students' selections are displayed in the two-way relative frequency table.
Fine Arts Course Selections
Art Band Choir Drama Total
Juniors 0.02 0.27 0.24 0.05 0.58
Seniors 0.12 0.04 0.05 0.21 0.42
Total 0.14 0.31 0.29 0.26 1
Which observation is supported by the data?
Thi is the full question
Step-by-step explanation:
The complete question is as follows:-
The juniors and seniors at Lawrence High School are required to enrol in one fine arts elective each year. The students' selections are displayed in the two-way relative frequency table.
Fine Arts Course Selections
Art Band Choir Drama Total
Juniors 0.02 0.27 0.24 0.05 0.58
Seniors 0.12 0.04 0.05 0.21 0.42
Total 0.14 0.31 0.29 0.26 1
Which observation is supported by the data?
A.Art is the most popular elective among seniors.
B.Choir is the most popular elective among seniors.
C.Band is the most popular elective among juniors.
D.Drama is the most popular elective among juniors.
The correct answer is option C.Band is the most popular elective among juniors.
What are statistics?
The practise or science of organising and interpreting numerical data in big quantities, particularly for the objective of concluding proportions in a whole from those in an expected sample.
Let's just arrange your table:
Art Band Choir Drama Total
Juniors: 0.02 0.27 0.24 0.05 0.58
Seniors: 0.12 0.04 0.05 0.21 0.42
Total: 0.14 0.31 0.29 0.26 1
What you see here are portions or percentages of the people who chose each category.
Here's another way to look at it.
Art Band Choir Drama Total
Juniors: 2% 27% 24% 5% 58%
Seniors: 12% 4% 5% 21% 42%
Total: 14% 31% 29% 26% 100%
If you read it horizontally, you are looking at it based on Juniors and Seniors.
If you read it vertically, you're looking at it based on the elective class.
The totals show how the group looks as a whole. And it gives you an idea of how much of the population chose each elective class.
Let's go back to your choices.
This is wrong because as you can see, only 12% of the population that are Seniors chose Art. The most popular was actually Drama with 21%.
B. Is wrong as well because only 5% of the population that are seniors chose Choir.
C. This Is true because as you can see, 27% of the population that are juniors chose Band.
D is wrong because of the above statement.
Now you do not have to make them into percentages to do this. You can also interpret the same thing by looking for the highest relative frequency to determine which one is most popular.
Therefore the correct answer is option C.Band is the most popular elective among juniors.
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