CAIE S1 2021 March — Question 5

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2021
SessionMarch
TopicData representation
TypeDraw cumulative frequency graph from frequency table

5 A driver records the distance travelled in each of 150 journeys. These distances, correct to the nearest km , are summarised in the following table.
Distance \(( \mathrm { km } )\)\(0 - 4\)\(5 - 10\)\(11 - 20\)\(21 - 30\)\(31 - 40\)\(41 - 60\)
Frequency12163266204
  1. Draw a cumulative frequency graph to illustrate the data.
    \includegraphics[max width=\textwidth, alt={}, center]{3f05dc2a-b466-40bc-9f5f-0fd2bff120c8-06_1593_1397_852_415}
  2. For 30\% of these journeys the distance travelled is \(d \mathrm {~km}\) or more. Use your graph to estimate the value of \(d\).
  3. Calculate an estimate of the mean distance travelled for the 150 journeys.