SPS SPS FM Statistics 2021 June — Question 1

Exam BoardSPS
ModuleSPS FM Statistics (SPS FM Statistics)
Year2021
SessionJune
TopicMeasures of Location and Spread
TypeCalculate mean from coded sums
  1. Employees at a company were asked how long their average commute to work was. The table below gives information about their answers.
Time taken ( \(t\) minutes)Number of people
\(0 < t \leq 10\)\(x\)
\(10 < t \leq 20\)30
\(20 < t \leq 30\)35
\(30 < t \leq 50\)28
\(50 < t \leq 90\)12
The company estimates that the mean time for employees commuting to work is 28 minutes. Work out the value of \(x\), showing your working clearly.
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