34. Find the median of the given data, if the mean is4.5.
5, 7, 7, 8, x, 5, 4, 3, 1, 2
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Answer:
mean = sum of all observation ÷ no. of observation
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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
1, 2, 3, 3, 4, 5, 5, 7, 7, 8
Since, observations are even in number.
∴ Median = Mean of two middle most observations
= (4+5)/2
= 9/2
= 4.5
Hope this helps you,please mark as brainliest.
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