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Find the median of the given data if the mean is 4.5.5, 7, 7, 8, x, 5, 4, 3, 1, 2 |
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Answer» The data is 5, 7, 7, 8, 1,5, 4, 3, 1, 2 Mean = Sum of all observations/ Number of observations 4.5 = (5+7+7+8+x+5+4+3+1+2)/10 45 = x +42 x = 45-42 = 3 Now, arranging the data in ascending order, we get Since, observations are even in number. ∴ Median = Mean of two middle most observations = (4+5)/2 = 9/2 = 4.5 |
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