# if the observation of 6,7, x - 2, x, 17,20 written in ascending order and the median is 16. find the value of x and hence find the mean of the given data

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by tarique555

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by tarique555

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total observation=6 let n=6

so,median=n/2+n/2+1/2

=6/2+6/2+1/2

=3+4/2

=since,third observation=x-2 & fourth observation=x

so,x-2+x/2=16

2x-2/2=16

by cross multiplication:

2x-2=32

2x=34

×=17

so,third observation=x-2=17-2=15

fourth observation=x=17

mean=6+7+15+17+17+20/6

=82/6

=13.67(approx)