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The table shows scores achieved by an athlete undertaking a series of tests to assess the same performance outcome - HSC - SSCE Personal Development and Physical Education - Question 20 - 2015 - Paper 1

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The table shows scores achieved by an athlete undertaking a series of tests to assess the same performance outcome. Each test was administered five times under the s... show full transcript

Worked Solution & Example Answer:The table shows scores achieved by an athlete undertaking a series of tests to assess the same performance outcome - HSC - SSCE Personal Development and Physical Education - Question 20 - 2015 - Paper 1

Step 1

Calculate the Range for Each Test

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Answer

To evaluate the reliability of the tests, we will start by calculating the range of scores for each test. The range is determined as follows:

  • Test 1: Range = Highest score - Lowest score = 10 - 0 = 10
  • Test 2: Range = 8 - 2 = 6
  • Test 3: Range = 10 - 4 = 6
  • Test 4: Range = 6 - 4 = 2

Step 2

Analyze the Range Values

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Answer

From the calculated ranges, we observe:

  • Test 1: Range = 10
  • Test 2: Range = 6
  • Test 3: Range = 6
  • Test 4: Range = 2

The smallest range indicates the least variability in scores, suggesting higher reliability.

Step 3

Conclusion

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Answer

Since Test 4 has the smallest range of 2, it is likely to have been the most reliable test among the options presented. Thus, the answer is (D) Test 4.

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