Question

Find the median of the following data if the mean is 4.5
5,7,7,8,×,5,4,3,1,2

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Answer 1

Answer:

The given data is

5,7,7,8,x,5,4,3,1,2

Now,

Mean=

number of observations

sum of observations

∴4.5=

10

5+7+7+8+x+5+4+3+1+2

⇒45=x+42

⇒x=45−42=3

Now, rearranging the observations, we get

1,2,3,3,4,5,5,7,7,8

total number of observations =10, which is even

Therefore, median=

2

4+5

=

2

9

=4.5