CAIE S1 2010 November — Question 2

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2010
SessionNovember
TopicMeasures of Location and Spread
TypeAdding data values

2 Esme noted the test marks, \(x\), of 16 people in a class. She found that \(\Sigma x = 824\) and that the standard deviation of \(x\) was 6.5.
  1. Calculate \(\Sigma ( x - 50 )\) and \(\Sigma ( x - 50 ) ^ { 2 }\).
  2. One person did the test later and her mark was 72. Calculate the new mean and standard deviation of the marks of all 17 people.