the following data has been arranged in ascending order :24,27,28,31,34,x,37,40,42,45.the median of the data is 35 find x and new median if 45 is changed to 33.
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So we get x=36
Then if 45 is replaced by 33, upon arranging in ascending order we get
24, 27, 28, 31, 33, 34, 36, 37, 40, 42
median =(5th term +6th term)/2
=(33+34)/2
= 67/2 = 33.5
so new median is 33.5
Then if 45 is replaced by 33, upon arranging in ascending order we get
24, 27, 28, 31, 33, 34, 36, 37, 40, 42
median =(5th term +6th term)/2
=(33+34)/2
= 67/2 = 33.5
so new median is 33.5
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So area of the quadrilateral= area of ∆ABC + area of ∆ADC
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