Easy -1.2 This is a straightforward application of basic formulas for mean and standard deviation from summary statistics. Students simply need to recall that mean = Σt/n and that standard deviation = √(Σ(t-t̄)²/n). No problem-solving or conceptual insight required—just direct substitution into memorized formulas.
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.
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.
\hfill \mbox{\textit{CAIE S1 2010 Q1 [3]}}