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Karen went on holidays for two weeks in August 2011 - Junior Cycle Mathematics - Question 5 - 2012

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Karen went on holidays for two weeks in August 2011. Below is a record of the daily temperatures for the two weeks in August 2011. Day Tempe... show full transcript

Worked Solution & Example Answer:Karen went on holidays for two weeks in August 2011 - Junior Cycle Mathematics - Question 5 - 2012

Step 1

What was the temperature on Thursday 18th of August?

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Answer

The temperature on Thursday 18th of August was 17°.

Step 2

Use a line plot to show the number of times each temperature was recorded.

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Answer

The line plot would show the following counts for the recorded temperatures:

  • 14°: 1 time
  • 15°: 3 times
  • 16°: 3 times
  • 17°: 5 times
  • 18°: 3 times
  • 19°: 1 time
    You would represent these counts on a horizontal line graph with 'Temperature' on the x-axis and the count on the y-axis.

Step 3

What is the range of the data?

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Answer

The range of the data is calculated as the difference between the maximum and minimum temperatures recorded: extRange=extMaximumextMinimum=19°14°=5° ext{Range} = ext{Maximum} - ext{Minimum} = 19° - 14° = 5°

Step 4

What is the mode of the data?

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Answer

The mode of the data is the temperature that appears most frequently. In this case, the mode is 17°, which occurs 5 times.

Step 5

Karen says that "on average it was warmer during the first week than the second week of my holiday". Do you agree with Karen? Explain your answer.

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Answer

Yes. The average for the first week was 17 degrees, but the average for the second week was only 16 degrees.

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