CAIE S1 2010 November — Question 1

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2010
SessionNovember
TopicMeasures of Location and Spread
TypeCalculate variance from summary statistics

1 Anita made observations of the maximum temperature, \(t ^ { \circ } \mathrm { C }\), on 50 days. Her results are summarised by \(\Sigma t = 910\) and \(\Sigma ( t - \bar { t } ) ^ { 2 } = 876\), where \(\bar { t }\) denotes the mean of the 50 observations. Calculate \(\bar { t }\) and the standard deviation of the observations.