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2 marksData Analysis

CAPE Applied Mathematics Unit 1 · 2021 · Paper 2 · Question 2(b)(v)

Scores obtained by 20 candidates in an examination are given.

Interpret the value of the standard deviation calculated in (b)(iv).

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Other parts of this question

  1. 2(a)(i)Identify the measure of variability that is influenced most by extreme values.[1 mark]
  2. 2(a)(ii)Identify the measure of variability obtained by squaring the standard deviation.[1 mark]
  3. 2(a)(iii)Identify the measure of variability that represents the middle 50 per cent of the distribution.[1 mark]
  4. 2(b)(i)Calculate the 10% trimmed mean of the scores.[4 marks]
  5. 2(b)(ii)Determine the modal score(s) of the examination data.[1 mark]
  6. 2(b)(iii)Calculate the interquartile range of the 20 scores.[3 marks]
  7. 2(b)(iv)Calculate the standard deviation of the scores.[4 marks]
  8. 2(c)(i)Determine the median number of eggs per tray.[2 marks]
  9. 2(c)(ii)Determine the mode of the distribution of eggs per tray.[1 mark]
  10. 2(c)(iii)Calculate the mean number of eggs per tray.[4 marks]
  11. 2(c)(iv)Describe the shape of the distribution.[1 mark]

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