3 A pear grower collects a random sample of 120 pears from his orchard. The histogram below shows the lengths, in mm, of these pears.
\includegraphics[max width=\textwidth, alt={}, center]{56f1bd5c-4b45-4e36-a324-e7e0edbb5bdd-2_825_1634_467_295}
- Calculate the number of pears which are between 90 and 100 mm long.
- Calculate an estimate of the mean length of the pears. Explain why your answer is only an estimate.
- Calculate an estimate of the standard deviation.
- Use your answers to parts (ii) and (iii) to investigate whether there are any outliers.
- Name the type of skewness of the distribution.
- Illustrate the data using a cumulative frequency diagram.