5 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]{99c502aa-2c9f-461d-9dc0-ed55e3df32a2-3_815_1628_505_304}
- 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.