ICSE Class X Math 2016 Solved Paper

Question : 3 of 57

Marks: +1, -0

The mean of following numbers is 68. Find the value of '

x

45,52,60, x, 69,70,26,81 \;\text " and "\; 94 .

Hence estimate the median.

Solution:

\;\;\text " Mean "\;=\;{\;\text " Sum of variates "\;}/{\;\text " Number of variates "\;}

\;68=\;{45+52+60+x+69+70+26+81+94}/{9}

\;612=497+x

\;115=x

On arranging the given numbers in ascending order, we get

26,45,52,60,69,70,81,94,115

No. of terms

(n)=9

(odd)

\;\text " Median "\;\;= (\;{n+1}/{2}) ^{ {\th}} \;\text " term "\;

\;= (\;{9+1}/{2}) ^{\;\text "th "\;} \;\text " term "\;

\;=5 \;\text " th term "\;

\;=69 .

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