For an ungrouped data 10,15,20,25,15,x median and mode are equal. find x and also median for above data
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median and mode is 22.5
mean is 107.5÷6 =17.91
mean is 107.5÷6 =17.91
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To find median data should be arranged from least to highest order so given unarranged data will be arranged like this
10,15,15,20,25,x
From above data we can see mode(number that comes in a data most of the time) is 15 as given mode and median are equal so median is also 15.
Mode=15
Median=15
If we put x in the middle
10,15,15,x,20,25
Now the median is sum of middle two terms divided by 2 this is for even number of terms in a given data.
Median=15+x/2 as Median=15
So
15=15+x/2
30=15+x
x=15
10,15,15,20,25,x
From above data we can see mode(number that comes in a data most of the time) is 15 as given mode and median are equal so median is also 15.
Mode=15
Median=15
If we put x in the middle
10,15,15,x,20,25
Now the median is sum of middle two terms divided by 2 this is for even number of terms in a given data.
Median=15+x/2 as Median=15
So
15=15+x/2
30=15+x
x=15
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