MHT CET 2024 Mathematics question
The mean and the standard deviation of 10 observations are 20 and 2 respectively. Each of these 10 observations is multiplied by p and then reduced by q, where and . If the new mean and new standard deviation (s.d.) become half of the original values, then q is equal to
Answer: (A)
Solution
Each observation becomes . New mean and new s.d. (a shift by does not change spread). Both become half of the original: and . If then
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