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A frequency polygon is drawn with classes of size 5. The class marks plotted are 12, 17, 22, 27.
A student wrote the actual classes as 9.5-14.5, 14.5-19.5, 19.5-24.5, 24.5-29.5. Is this consistent with the class marks?

Class 9Frequency PolygonsStatistics and Probability
  • AYes, each class mark equals the mid-point of the stated class
  • BNo, the class size is wrong
  • CNo, the class marks should be whole-number boundaries
  • DYes, but the class size is 10

Step-by-Step Solution

Mid-point of 9.5-14.5 = 12, of 14.5-19.5 = 17, etc., and each class width is 5, so it is consistent.
Answer: A) Yes, each class mark equals the mid-point of the stated class

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