ICSE Class X Math 2016 Solved Paper

Question : 3

Total: 57

The mean of following numbers is 68. Find the value of ' x ':
45,52,60,x,69,70,26,81‌ and ‌94.
Hence estimate the median.

Solution:

‌‌ Mean ‌=‌

‌ Sum of variates ‌

‌ Number of variates ‌

‌68=‌

45+52+60+x+69+70+26+81+94

‌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)
‌ Median ‌‌=(‌

n+1

)th‌ term ‌
‌=(‌

9+1

)‌th ‌‌ term ‌
‌=5‌ th term ‌
‌=69.

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