Answer: Upper left corner
[tex]\begin{array}{|c|c|} \cline{1-2}\text{Number of People} & \text{Frequency}\\\cline{1-2}0-9 & 2\\\cline{1-2}10-19 & 5\\\cline{1-2}20-29 & 2\\\cline{1-2}30-39 & 0\\\cline{1-2}\end{array}[/tex]
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Explanation:
First off, let's sort the numbers from smallest to biggest.
The sorted list is
2, 5, 12, 12, 14, 15, 18, 24, 24
Now let's organize each of those numbers into the bins of 0-9, 10-19, 20-29 or 30-39
- The values 2 and 5 go in the 0-9 bin since they are between 0 and 9
- The values 12,12,14,15,18 go in the 10-19 bin for similar reasoning as above.
- The values 24,24 go in the 20-29 bin
- Nothing goes in the 30-39 bin since none of the values are between 30 and 39.
Here's one way to represent what's going on so far.
[tex]\begin{array}{|c|c|c|c|c|} \cline{1-5}\text{Bin} & 0-9 & 10-19 & 20-29 & 30-39\\\cline{1-5}\text{Value(s)} & 2,5 & 12,12,14,15,18 & 24,24 & \text{Nothing}\\\cline{1-5}\end{array}[/tex]
- In the 0-9 bin, we have two values, so we have a frequency of 2 here.
- The next bin has a frequency of 5 due to the 5 values in here.
- The third bin has a frequency of 2.
- The last bin has a frequency of 0.
We can then form the final grouped frequency table.
[tex]\begin{array}{|c|c|} \cline{1-2}\text{Number of People} & \text{Frequency}\\\cline{1-2}0-9 & 2\\\cline{1-2}10-19 & 5\\\cline{1-2}20-29 & 2\\\cline{1-2}30-39 & 0\\\cline{1-2}\end{array}[/tex]
which is shown in the upper-left corner.
