UPSC NDA I 2021 Mathematics Solved Paper

Concept:
Median of ' n ' observations is the value at the central position when the data is arranged in ascending or descending order.
- For, odd n, median is the value at the (‌

n+1

2

) position.
- For even n, median is the mean ofvalues at (‌

n

2

) and (‌

n

2

+1) position.
Calculation:
Writing the cumulative frequencies, we getSince n=198 is even, the median will be the mean of the values at (‌

198

2

)=99‌th ‌ position and 99+1=100‌th ‌ position.
From the above table, both the 99‌th ‌ and 100‌th ‌ values are 3 .
Therefore, the median of the above data is 3 .