Answer :
Final answer:
To create a histogram from the given data points, select a suitable range for the x-axis, choose bin size by dividing the range by the desired number of bars, and correlate each bar height to the count of data points in that bin.
Explanation:
To create a histogram for the given data points: 12, 28, 33, 37, 23, 14, 9, first, choose an appropriate range for the x-axis. In this case, the lowest value is 9 and the highest is 37. So, to ensure all the data fits, let's choose 0-40 for a range. Now decide the intervals for the histogram, also known as determining the bin size. It can be done by dividing the range of the data by the desired number of bins or bars. In this scenario, let's choose a bin size of 5, which gives us 8 bins: 0-5, 5-10, 10-15, 15-20, 20-25, 25-30, 30-35, 35-40. Orbserve how many data points fall into each bin cluster. Then, draw bars representing each bin with height equivalent to the number of data points in that bin. Here, the bins 10-15, 15-20, 20-25, 25-30, 30-35 and 35-40 would each have one bar corresponding to the counts 1, 1, 1, 1, 1 and 1 respectively. And then plot this on your histogram. The creation of a histogram is a quantitative measure that helps represent this frequency distribution data graphically.
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