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The data in the table below is taken from CensusAtSchool - Junior Cycle Mathematics - Question 2 - 2013

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The data in the table below is taken from CensusAtSchool. The data gives information about how students recycle soft drink cans. Student Gender Age Location Can... show full transcript

Worked Solution & Example Answer:The data in the table below is taken from CensusAtSchool - Junior Cycle Mathematics - Question 2 - 2013

Step 1

How many students are in the sample?

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Answer

To find out the total number of students in the sample, we need to count each individual record in the provided table. After reviewing the table, it's evident that there are 14 students listed.

Step 2

Complete the table below to show the junior students (1st to 3rd year) in the sample and to show how many cans they each bought and recycled.

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Answer

The junior students in the sample are:

StudentCans BoughtCans Recycled
A62
B00
C11
F11
I11
L31

Step 3

How many soft drink cans were bought by the junior students?

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Answer

To calculate the total cans bought by junior students, we sum the values:

6+0+1+1+1+3=126 + 0 + 1 + 1 + 1 + 3 = 12

Thus, a total of 12 soft drink cans were bought by the junior students.

Step 4

How many soft drink cans were recycled by the junior students?

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Answer

To find out the total number of cans recycled by the junior students, we will sum their recycled values:

2+0+1+1+1+1=62 + 0 + 1 + 1 + 1 + 1 = 6

Therefore, the junior students recycled a total of 6 soft drink cans.

Step 5

Based on the data, would you conclude that the junior students from this sample are better at recycling than the senior students (4th to 6th year)? Use calculations to justify your answer.

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Answer

To analyze the recycling rates:

  • For junior students, the recycling rate is calculated as follows:

extJuniorRecyclingRate=612×100%=50% ext{Junior Recycling Rate} = \frac{6}{12} \times 100\% = 50\%

  • For senior students (4th to 6th year), we calculate the total cans and recycled cans:

Cans bought by seniors = 15, Cans recycled by seniors = 9.

extSeniorRecyclingRate=915×100%=60% ext{Senior Recycling Rate} = \frac{9}{15} \times 100\% = 60\%

Comparing both rates, we can conclude that senior students have a better recycling rate (60%) compared to junior students (50%).

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