CAIE S1 2022 November — Question 4

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2022
SessionNovember
TopicMeasures of Location and Spread
TypeHistogram from continuous grouped data

4 The times taken, in minutes, to complete a word processing task by 250 employees at a particular company are summarised in the table.
Time taken \(( t\) minutes \()\)\(0 \leqslant t < 20\)\(20 \leqslant t < 40\)\(40 \leqslant t < 50\)\(50 \leqslant t < 60\)\(60 \leqslant t < 100\)
Frequency3246965224
  1. Draw a histogram to represent this information.
    \includegraphics[max width=\textwidth, alt={}, center]{3e74785d-5981-480c-a0fd-f43d5d227f2d-06_1201_1198_1050_516} From the data, the estimate of the mean time taken by these 250 employees is 43.2 minutes.
  2. Calculate an estimate for the standard deviation of these times.