Histograms for Grouped Data

Histograms for Grouped Data

Secondary 2

The following shows the parking time, \(x\) minutes, during peak hours of \(30\) cars in a carpark.

\(5\)

\(35\)

\(70\)

\(100\)

\(110\)

\(65\)

\(85\)

\(39\)

\(14\)

\(45\)

\(120\)

\(60\)

\(80\)

\(50\)

\(20\)

\(15\)

\(37\)

\(20\)

\(85\)

\(55\)

\(10\)

\(30\)

\(55\)

\(75\)

\(90\)

\(34\)

\(68\)

\(42\)

\(3\)

\(112\)

  1. Using the class intervals \(0 < x\le 30\) , \(30 < x\le 60\) and so on, construct a frequency table for the data.
  2. Using the grid below, draw a histogram to illustrate the data.
    List item image

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Answer:(i) Frequencies \(8,10,8,4\) for \(0<x\le30,\ 30<x\le60,\ 60<x\le90,\ 90<x\le120\) (ii) Histogram bars over the same intervals with heights \(8,10,8,4\)

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