Exam-Style Problem

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June 2015 p63 q6
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Seventy samples of fertiliser were collected and the nitrogen content was measured for each sample. The cumulative frequency distribution is shown below.

Nitrogen content \(\le 3.5\) \(\le 3.8\) \(\le 4.0\) \(\le 4.2\) \(\le 4.5\) \(\le 4.8\)
Cumulative frequency 0 6 18 41 62 70
  1. On graph paper, draw a cumulative frequency graph to represent the data.
  2. Estimate the percentage of samples with a nitrogen content greater than \(4.4\).
  3. Estimate the median.
  4. Construct a frequency table for these results and draw a histogram on graph paper.
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