Scouts’ Earnings in Job Week: Mean and Median Class

Scouts’ Earnings in Job Week: Mean and Median Class

Secondary 2

In the recent Job Week carried out by a group of \(30\) scouts, the amount of money collected are shown in the table below.

Amount collected (\(\$w\))

\(0<w\le 20\)

\(20<w\le 40\)

\(40<w\le 60\)

\(60<w\le 80\)

\(80<w\le 100\)

Number of scouts

\(5\)

\(12\)

\(4\)

\(6\)

\(3\)

  1. Copy and complete the following table.

    Amount collected (\(\$w\))

    Mid-value, \(x\)

    Frequency, \(f\)

    \(fx\)

    \(0<w\le 20\)

    \(20<w\le 40\)

    \(40<w\le 60\)

    \(60<w\le 80\)

    \(80<w\le 100\)

    \(\sum f=\)

    \(\sum fx=\)

  2. Estimate the mean amount of money collected by each of the \(30\) scouts.
  3. State the class interval which contains the median.

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Answer:(a) Mid-values \(10,30,50,70,90\), \(fx: 50,360,200,420,270\), \(\sum f=30\), \(\sum fx=1300\). (b) \(\$43.33\) (2 d.p.) (c) \(20<w\le 40\)

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