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MathsMediumNumerical2022 ยท 25 Jun Shift 2

Q84.If the mean deviation about the mean of the numbers 1, 2, 3, โ€ฆ โ€ฆ , ๐‘›, where ๐‘› is odd, is , then ๐‘› is equal ๐‘› to ______.

What This Question Tests

This question assesses the calculation of the mean and mean deviation for an arithmetic progression with an odd number of terms and then solving for 'n' based on the given mean deviation.

Concepts Tested

Mean of an arithmetic progressionMean deviation about meanSummation of series

Formulas Used

Mean (xฬ„) = (ฮฃxi) / n

Mean deviation = (ฮฃ|xi - xฬ„|) / n

Sum of first n natural numbers = n(n+1)/2

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