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5 marksData Analysis

CAPE Applied Mathematics Unit 1 · 2016 · Paper 2 · Question 2(c)(iii)

A sample of 36 data values x gives ∑(x - 45) = -148 and ∑(x - 45)^2 = 3089.

Another data value, x = 29, was added to the values. Calculate values for the mean and the standard deviation of the 37 values.

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Other parts of this question

  1. 2(a)(i)State which ONE of the mean, median and mode may be determined from qualitative data.[1 mark]
  2. 2(a)(ii)State which ONE of the mean, median and mode is affected by extreme values.[1 mark]
  3. 2(a)(iii)State which ONE of the mean, median and mode may have the largest value for a given set of data.[1 mark]
  4. 2(b)(i)State which ONE of the range, interquartile range and variance is influenced most by extreme values.[1 mark]
  5. 2(b)(ii)State which ONE of the range, interquartile range and variance may be obtained by squaring the standard deviation.[1 mark]
  6. 2(b)(iii)State which ONE of the range, interquartile range and variance is the middle 50% of the distribution.[1 mark]
  7. 2(c)(i)Calculate estimates for the mean.[3 marks]
  8. 2(c)(ii)Calculate the estimates for the standard deviation of the data.[3 marks]
  9. 2(d)(i)Determine the median number of marbles per packet.[2 marks]
  10. 2(d)(ii)Determine the mode of the distribution.[1 mark]
  11. 2(d)(iii)Calculate the mean number of marbles per packet.[4 marks]
  12. 2(d)(iv)Describe the shape of the distribution.[1 mark]

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