CAIE S1 2018 June — Question 1

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2018
SessionJune
TopicMeasures of Location and Spread
TypeFind coded sums from raw data

1 In a statistics lesson 12 people were asked to think of a number, \(x\), between 1 and 20 inclusive. From the results Tom found that \(\Sigma x = 186\) and that the standard deviation of \(x\) is 4.5. Assuming that Tom's calculations are correct, find the values of \(\Sigma ( x - 10 )\) and \(\Sigma ( x - 10 ) ^ { 2 }\).