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Answer :
Final answer:
To construct a frequency distribution for the given data, divide the range by the desired number of intervals. Set up the intervals by starting from the lowest value and adding the width successively. Count the number of data points within each interval to get the frequency distribution.
Explanation:
To construct a frequency distribution for the given data, we can start by finding the range of the data, which is the difference between the highest and lowest values: 75 - 66 = 9. We can then determine the width of each interval by dividing the range by the desired number of intervals. Let's choose 6 intervals for this example. So the width of each interval is 9 / 6 = 1.5.
We can then set up the intervals by starting from the lowest value and adding the width successively. The first interval would be 66 - 67.5, the second interval would be 67.5 - 69, and so on. After setting up the intervals, we count how many data points fall within each interval and tabulate them. This will give us the frequency distribution.
Here is the frequency distribution for the given data:
Interval: 66 - 67.5 | Frequency: 3
Interval: 67.5 - 69 | Frequency: 4
Interval: 69 - 70.5 | Frequency: 3
Interval: 70.5 - 72 | Frequency: 8
Interval: 72 - 73.5 | Frequency: 7
Interval: 73.5 - 75 | Frequency: 5
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