OCR MEI S1 — Question 1

Exam BoardOCR MEI
ModuleS1 (Statistics 1)
TopicData representation
TypeOutliers from box plot or summary statistics

1 A business analyst collects data about the distribution of hourly wages, in \(\pounds\), of shop-floor workers at a factory. These data are illustrated in the box and whisker plot.
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  1. Name the type of skewness of the distribution.
  2. Find the interquartile range and hence show that there are no outliers at the lower end of the distribution, but there is at least one outlier at the upper end.
  3. Suggest possible reasons why this may be the case.