OCR MEI S1 2013 June — Question 1

Exam BoardOCR MEI
ModuleS1 (Statistics 1)
Year2013
SessionJune
TopicMeasures of Location and Spread
TypeForward transformation: find new statistics

1 The weights, \(x\) grams, of 100 potatoes are summarised as follows. $$n = 100 \quad \sum x = 24940 \quad \sum x ^ { 2 } = 6240780$$
  1. Calculate the mean and standard deviation of \(x\).
  2. The weights, \(y\) grams, of the potatoes after they have been peeled are given by the formula \(y = 0.9 x - 15\). Deduce the mean and standard deviation of the weights of the potatoes after they have been peeled.