CAIE S1 2011 June — Question 3

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2011
SessionJune
TopicMeasures of Location and Spread
TypeAdding data values

3 A sample of 36 data values, \(x\), gave \(\Sigma ( x - 45 ) = - 148\) and \(\Sigma ( x - 45 ) ^ { 2 } = 3089\).
  1. Find the mean and standard deviation of the 36 values.
  2. One extra data value of 29 was added to the sample. Find the standard deviation of all 37 values.