Answer :
Final answer:
To make a distribution table, first arrange the numbers in order, figure out the range and width of the classes. Create class ranges based on this width and tally how many numbers fall into each class interval. This gives your frequency distribution table.
Explanation:
The question asks for a 5 classes distribution table based on a set of data. Firstly, you need to organize the data. Here are our data points sorted in increasing order:
67, 71, 71, 72, 72, 74, 74, 75, 76, 76, 77, 79, 79, 80, 80, 80, 80, 81, 81, 82, 82, 83, 83, 83, 83, 84, 85, 86, 86, 88.
Next, for creating a distribution table, you have to calculate the range of the data which is highest value minus the lowest value (88-67 = 21). Now, divide this range by the number of classes we want in our table, that is, 5. So, 21/5 = 4.2. In preparing class intervals, we usually take the ceiling value, which is 5 in this case. This gives us our class width.
Our class intervals would be: 67-72, 72-77, 77-82, 82-87, 87-92. Then count how many numbers fall into each of the intervals which gives the frequency for each class.
- 67-72: 5
- 72-77: 6
- 77-82: 8
- 82-87: 8
- 87-92: 3
This is the frequency distribution table.
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