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The grouped frequency table below gives information about the times, in minutes, that 80 office workers take to get to work. Time (t minutes) Frequency 0lt tleqslant 20 3 20lt tleqslant 40 32 40lt tleqslant 60 21 60lt tleqslant 80 17 80lt tleqslant 100 5 100lt tleqslant 120 2 Complete this cumulative frequency table. Time (t minutes) Cumulative frequency 0lt tleqslant 20 square 0lt tleqslant 40 square 0lt tleqslant 60 square 0lt tleqslant 80 square 0lt tleqslant 100 square 0lt tleqslant 120 square Total marks: 1

Question

The grouped frequency table below gives information about the times, in minutes, that 80 office workers take to get to work. Time (t minutes) Frequency 0lt tleqslant 20 3 20lt tleqslant 40 32 40lt tleqslant 60 21 60lt tleqslant 80 17 80lt tleqslant 100 5 100lt tleqslant 120 2 Complete this cumulative frequency table. Time (t minutes) Cumulative frequency 0lt tleqslant 20 square 0lt tleqslant 40 square 0lt tleqslant 60 square 0lt tleqslant 80 square 0lt tleqslant 100 square 0lt tleqslant 120 square Total marks: 1

The grouped frequency table below gives information about the times, in minutes, that 80 office workers take to get to work. Time (t minutes) Frequency 0lt tleqslant 20 3 20lt tleqslant 40 32 40lt tleqslant 60 21 60lt tleqslant 80 17 80lt tleqslant 100 5 100lt tleqslant 120 2 Complete this cumulative frequency table. Time (t minutes) Cumulative frequency 0lt tleqslant 20 square 0lt tleqslant 40 square 0lt tleqslant 60 square 0lt tleqslant 80 square 0lt tleqslant 100 square 0lt tleqslant 120 square Total marks: 1

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OdetteProfessional · Tutor for 6 years

Answer

### \[\begin{array}{|c|c|}<br />\hline<br />\text{Time} \, (t \, \text{minutes}) & \text{Cumulative frequency} \\<br />\hline<br />0 < t \leqslant 20 & 3 \\<br />\hline<br />0 < t \leqslant 40 & 35 \\<br />\hline<br />0 < t \leqslant 60 & 56 \\<br />\hline<br />0 < t \leqslant 80 & 73 \\<br />\hline<br />0 < t \leqslant 100 & 78 \\<br />\hline<br />0 < t \leqslant 120 & 80 \\<br />\hline<br />\end{array}\]

Explain

## Step 1: Calculate cumulative frequency for \(0 < t \leqslant 20\)<br />### The cumulative frequency for this interval is simply the frequency of the first interval.<br />## Step 2: Calculate cumulative frequency for \(0 < t \leqslant 40\)<br />### Add the frequency of the second interval to the cumulative frequency of the previous interval.<br />## Step 3: Calculate cumulative frequency for \(0 < t \leqslant 60\)<br />### Add the frequency of the third interval to the cumulative frequency of the previous interval.<br />## Step 4: Calculate cumulative frequency for \(0 < t \leqslant 80\)<br />### Add the frequency of the fourth interval to the cumulative frequency of the previous interval.<br />## Step 5: Calculate cumulative frequency for \(0 < t \leqslant 100\)<br />### Add the frequency of the fifth interval to the cumulative frequency of the previous interval.<br />## Step 6: Calculate cumulative frequency for \(0 < t \leqslant 120\)<br />### Add the frequency of the sixth interval to the cumulative frequency of the previous interval.<br /><br />#
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