AQA Paper 3 2024 June — Question 14

Exam BoardAQA
ModulePaper 3 (Paper 3)
Year2024
SessionJune
TopicMeasures of Location and Spread
TypeCalculate variance from summary statistics

14 The annual cost of energy in 2021 for each of the 350 households in Village A can be modelled by a random variable \(\pounds X\) It is given that $$\sum x = 945000 \quad \sum x ^ { 2 } = 2607500000$$ 14
  1. Calculate the mean of \(X\). 14
  2. Calculate the standard deviation of \(X\).
    14
  3. For households in Village B the annual cost of energy in 2021 has mean \(\pounds 3100\) and standard deviation £325 Compare the annual cost of energy in 2021 for households in Village A and Village B.