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A teacher claims: 'Since the modal class of the test scores is 60-70, the most common score is exactly 65 (the mid-point).'
Under what condition is this claim exactly correct?

Class 10Mode of Grouped DataStatistics and Probability
  • AOnly when the frequencies of the classes just before and just after the modal class are equal (f0 = f2)
  • BAlways, since mode is the mid-point of the modal class
  • COnly when f1 is even
  • DOnly when the class size is 10

Step-by-Step Solution

Mode = (the mid-point) exactly when , because then the formula's fraction is . Otherwise the mode is shifted toward the heavier neighbouring class.
Answer: A) Only when the frequencies of the classes just before and just after the modal class are equal (f0 = f2)

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