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1 markData Analysis

CAPE Applied Mathematics Unit 1 · 2010 · Paper 2 · Question 2(a)(ii)

Ages in years of 25 students registered for a course: 17, 17, 18, 19, 19, 19, 21, 21, 22, 23, 23, 24, 24, 25, 25, 26, 27, 28, 32, 32, 33, 40, 41, 42, 59.

State ONE advantage of using the stem-and-leaf diagram to display data.

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Other parts of this question

  1. 2(a)(i)Illustrate these data in a stem-and-leaf diagram.[4 marks]
  2. 2(b)(i)Determine the median age of the students in the class.[2 marks]
  3. 2(b)(ii)Determine the modal age of the students.[1 mark]
  4. 2(c)Calculate the mean age of the students.[4 marks]
  5. 2(d)State ONE disadvantage of using the mean to report the average age of the class.[2 marks]
  6. 2(e)Calculate the 8% trimmed mean for the data.[4 marks]
  7. 2(f)(i)Determine the upper and lower quartiles of the ages.[2 marks]
  8. 2(f)(ii)Determine the semi-interquartile range of the ages.[3 marks]
  9. 2(g)Describe the shape of the distribution of the ages.[2 marks]

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