Question

identify the histogram for the frequency distribution below. bin frequency 2, 7) 1 7, 12) 2 12, 17) 5 17, 22) 4 22, 27) 1

Explanation:

Step1: Check first - bin frequency

The frequency for the bin [2, 7) is 1. We look for the histogram where the bar above the interval starting at 2 and ending just before 7 has a height of 1.

Step2: Check second - bin frequency

The frequency for the bin [7, 12) is 2. We check the height of the bar for the interval starting at 7 and ending just before 12, which should be 2.

Step3: Check third - bin frequency

The frequency for the bin [12, 17) is 5. The bar for the interval starting at 12 and ending just before 17 should have a height of 5.

Step4: Check fourth - bin frequency

The frequency for the bin [17, 22) is 4. The bar for the interval starting at 17 and ending just before 22 should have a height of 4.

Step5: Check fifth - bin frequency

The frequency for the bin [22, 27) is 1. The bar for the interval starting at 22 and ending just before 27 should have a height of 1.
After checking all these, we can identify the correct histogram.

Answer:

The first histogram (top - left) is the correct one as it has bar - heights of 1, 2, 5, 4, 1 for the bins [2, 7), [7, 12), [12, 17), [17, 22), [22, 27) respectively.