CAIE S1 2009 November — Question 1

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2009
SessionNovember
TopicNormal Distribution
TypeOutliers and box plots

1
\includegraphics[max width=\textwidth, alt={}, center]{6f677fc6-3ca2-4a0d-82a2-69a7cbb8574d-2_211_1169_267_488} Measurements of wind speed on a certain island were taken over a period of one year. A box-andwhisker plot of the data obtained is displayed above, and the values of the quartiles are as shown. It is suggested that wind speed can be modelled approximately by a normal distribution with mean \(\mu \mathrm { km } \mathrm { h } ^ { - 1 }\) and standard deviation \(\sigma \mathrm { km } \mathrm { h } ^ { - 1 }\).
  1. Estimate the value of \(\mu\).
  2. Estimate the value of \(\sigma\).