AQA S1 2012 January — Question 1

Exam BoardAQA
ModuleS1 (Statistics 1)
Year2012
SessionJanuary
TopicMeasures of Location and Spread
TypeFind median and quartiles from raw data list

1 Giles, a keen gardener, rents a council allotment. During early April 2011, he planted 27 seed potatoes. When he harvested his potato crop during the following August, he counted the number of new potatoes that he obtained from each seed potato. He recorded his results as follows.
Number of new potatoes\(\leqslant 6\)7891011\(\geqslant 12\)
Frequency2214864
  1. Calculate values for the median and the interquartile range of these data.
  2. Advise Giles on how to record his corresponding data for 2012 so that it would then be possible to calculate the mean number of new potatoes per seed potato.