Edexcel S1 — Question 6

Exam BoardEdexcel
ModuleS1 (Statistics 1)
TopicData representation
TypeDraw cumulative frequency graph from cumulative frequency table

6. 1000 houses were sold in a small town in a one-year period. The selling prices were as given in the following table:
Selling PriceNumber of HousesSelling PriceNumber of Houses
Up to \(\pounds 50000\)60Up to \(\pounds 150000\)642
Up to \(\pounds 75000\)227Up to \(\pounds 200000\)805
Up to \(\pounds 100000\)305Up to \(\pounds 500000\)849
Up to \(\pounds 125000\)414Up to \(\pounds 750000\)1000
  1. Name (do not draw) a suitable type of graph for illustrating this data.
  2. Use interpolation to find estimates of the median and the quartiles.
  3. Estimate the 37th percentile. Given further that the lowest price was \(\pounds 42000\) and the range of the prices was \(\pounds 690000\),
  4. draw a box plot to represent the data. Show your scale clearly. In another town the median price was \(\pounds 149000\), and the interquartile range was \(\pounds 90000\).
  5. Briefly compare the prices in the two towns using this information.