Speed-distribution histogram and probability

Speed-distribution histogram and probability

Secondary 2
6 marks
TGM Original Questions

For the probability calculation, each vehicle in the stated group is equally likely to be selected.

Sixty vehicle speeds are grouped.

Speed \(x\) km/hFrequency
\(40<x\le50\)\(5\)
\(50<x\le60\)\(11\)
\(60<x\le70\)\(18\)
\(70<x\le80\)\(13\)
\(80<x\le90\)\(8\)
\(90<x\le100\)\(5\)
  1. Draw a histogram.[3]
  2. State the modal class.[1]
  3. Find the probability that a selected vehicle travels within a 70 km/h limit.[2]

Solution:

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Answer:(a) frequency bars as table (b) \(60<x\le70\) (c) \(\frac{17}{30}\).

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