OCR MEI S1 2010 January — Question 7

Exam BoardOCR MEI
ModuleS1 (Statistics 1)
Year2010
SessionJanuary
TopicData representation
TypeEstimate mean and standard deviation from histogram

7 A pear grower collects a random sample of 120 pears from his orchard. The histogram below shows the lengths, in mm, of these pears.
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  1. Calculate the number of pears which are between 90 and 100 mm long.
  2. Calculate an estimate of the mean length of the pears. Explain why your answer is only an estimate.
  3. Calculate an estimate of the standard deviation.
  4. Use your answers to parts (ii) and (iii) to investigate whether there are any outliers.
  5. Name the type of skewness of the distribution.
  6. Illustrate the data using a cumulative frequency diagram.