if the median of 46,64,88,40,x,76,35,91,56,32and91is58,find the value of x
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The given data set is
46, 64, 88, 40, x, 76, 35, 91, 56, 32, 91
Total number of observations = 11
11 is an odd number. So, median of the data set is ( n+1/2) th term = (11+1) th = 6th
2
n+1
)th term=(
2
11+1
)th term=6th term
It is given that median of the given data is 58. It means when we arrange the data in ascending order then 6th term is 58.
In the given data set 58 is not available but an unknown number x is available. So, the value of x must be 58.
x = 58
On arranging the data in ascending order we get
(32, 35, 40, 46, 56), 58, (64, 76, 88, 91, 91)
Therefore, the value of x is 58.
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