AQA S1 2010 June — Question 2

Exam BoardAQA
ModuleS1 (Statistics 1)
Year2010
SessionJune
TopicMeasures of Location and Spread
TypeCalculate mean from coded sums

2 Before leaving for a tour of the UK during the summer of 2008, Eduardo was told that the UK price of a 1.5-litre bottle of spring water was about 50p. Whilst on his tour, Eduardo noted the prices, \(x\) pence, which he paid for 1.5-litre bottles of spring water from 12 retail outlets. He then subtracted 50 p from each price and his resulting differences, in pence, were $$\begin{array} { l l l l l l l l l l l l } - 18 & - 11 & 1 & 15 & 7 & - 1 & 17 & - 16 & 18 & - 3 & 0 & 9 \end{array}$$
    1. Calculate the mean and the standard deviation of these differences.
    2. Hence calculate the mean and the standard deviation of the prices, \(x\) pence, paid by Eduardo.
  1. Based on an exchange rate of \(€ 1.22\) to \(\pounds 1\), calculate, in euros, the mean and the standard deviation of the prices paid by Eduardo.
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