Exam-Style Problem

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June 2019 p63 q7
2541

The time in minutes taken by Whitefay Park School in a cross-country race are recorded in the table below.

Whitefay Park School45475356566164666973757883

The times taken by pupils at Whitefay Park School are denoted by \(x\) minutes.

  1. Find the value of \(\Sigma(x - 60)^2\).
  2. It is given that \(\Sigma(x - 60) = 46\). Use this result, together with your answer to part (iii), to find the variance of \(x\).
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