the following data are arranged in ascending order : 18, 20,25,26,30,x,37,38,39,48.if the median of the data is 35 , find x.in the above data, if 48 is changed to 28, find the new median
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Given Data,
18, 20,25,26,30,x,37,38,39,48
Number of observations = 10 .
Median = (10/2 th term + (10+1/2)th term) /2 = 30+x/2 .
But, Given Median = 30+x/2 = 35
30 + x = 70
x = 40 .
=========================================
If 48 is changed to 28 , then the order of data becomes
18, 20,25,26,28 ,30,x,37,38,39.
Now, Median = 28 + 30 / 2 = 58/2 = 29 .
=======================================
Hope helped!
18, 20,25,26,30,x,37,38,39,48
Number of observations = 10 .
Median = (10/2 th term + (10+1/2)th term) /2 = 30+x/2 .
But, Given Median = 30+x/2 = 35
30 + x = 70
x = 40 .
=========================================
If 48 is changed to 28 , then the order of data becomes
18, 20,25,26,28 ,30,x,37,38,39.
Now, Median = 28 + 30 / 2 = 58/2 = 29 .
=======================================
Hope helped!
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