With a range of 28 to 72 and interval width of 5, approximately how many intervals would be formed in a grouped frequency distribution?

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Multiple Choice

With a range of 28 to 72 and interval width of 5, approximately how many intervals would be formed in a grouped frequency distribution?

Explanation:
When forming a grouped frequency distribution, the number of intervals is found by dividing the range by the interval width and then rounding up to cover the whole spread. Here, the range goes from 28 to 72, so the range is 72 − 28 = 44. With an interval width of 5, you can fit 44 / 5 = 8.8 intervals. Since you can’t have a fraction of an interval, you round up to 9. If you lay them out starting at 28 with width 5, you’d have 28–32, 33–37, 38–42, 43–47, 48–52, 53–57, 58–62, 63–67, and 68–72—nine intervals in total.

When forming a grouped frequency distribution, the number of intervals is found by dividing the range by the interval width and then rounding up to cover the whole spread. Here, the range goes from 28 to 72, so the range is 72 − 28 = 44. With an interval width of 5, you can fit 44 / 5 = 8.8 intervals. Since you can’t have a fraction of an interval, you round up to 9. If you lay them out starting at 28 with width 5, you’d have 28–32, 33–37, 38–42, 43–47, 48–52, 53–57, 58–62, 63–67, and 68–72—nine intervals in total.

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