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A class teacher claims that for a particular grouped distribution, choosing a different assumed mean 'a' will change the final computed mean.
Which statement is correct?

Class 10Mean of Grouped DataStatistics and Probability
  • AThe teacher is correct; mean depends on a
  • BThe teacher is wrong; the final mean is the same for any valid a
  • CThe mean changes only if h changes
  • DThe mean is undefined without a fixed a

Step-by-Step Solution

The assumed mean 'a' is only a computational aid; the formula a + (sum fi*di)/(sum fi) returns the same mean for any choice of a.
Answer: B) The teacher is wrong; the final mean is the same for any valid a

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