CAIE S1 2023 June — Question 1

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2023
SessionJune
TopicMeasures of Location and Spread
TypeCalculate variance/SD from coded sums
1 A summary of 50 values of \(x\) gives $$\Sigma ( x - q ) = 700 , \quad \Sigma ( x - q ) ^ { 2 } = 14235$$ where \(q\) is a constant.
  1. Find the standard deviation of these values of \(x\).
  2. Given that \(\Sigma x = 2865\), find the value of \(q\).
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