Following is arranged in ascending order. If the median of the data is 63, find the volume of x in a series 29,32,48,50,x,x+2,72,78,84,95.
Following is arranged in ascending order. If the median of the data is 63, find the volume of x in a series 29,32,48,50,x,x+2,72,78,84,95.
The correct option is B 62
Median is the
middle most value of a series. So when the series has odd number of elements
then median can be calculated easily but when the series has even number of
elements then the series has two middle values, so median is calculated by
taking out the average of both the value.
The series is
first arranged into either ascending or descending order. The formula to calculate
median = (N+1) /2 th term of the series where N is the number of observation in
the series.
The given series
is first arranged into ascending; 29,32,48,50,x,x+2,72,78,84,95
N= 10
median=> (10+1)/2 th term = 63
=> 11/2 th term = 63
=> 5.5 th term = 63
=> ( value of 5th term + value of 6th term)/2= 63
=> {x+( x+2)} /2 =63
=> 2x+2 = 126
=> 2x = 124
=> x= 62
Median is the middle most value of a series. So when the series has odd number of elements then median can be calculated easily but when the series has even number of elements then the series has two middle values, so median is calculated by taking out the average of both the value.
The series is first arranged into either ascending or descending order. The formula to calculate median = (N+1) /2 th term of the series where N is the number of observation in the series.
The given series is first arranged into ascending; 29,32,48,50,x,x+2,72,78,84,95
N= 10
median=> (10+1)/2 th term = 63
=> 11/2 th term = 63
=> 5.5 th term = 63
=> ( value of 5th term + value of 6th term)/2= 63
=> {x+( x+2)} /2 =63
=> 2x+2 = 126
=> 2x = 124
=> x= 62
