Statistics
Statistics
nta_abhyas_2025
Grade 11

Question:

Total number of terms = 34. So mean of 17th and 18th term is median. Find the median if $x_{17} = 130, x_{34} = 134$.

Step-by-Step Solution

Key Concept: For even number of observations, median is the average of the two middle values
For an even number of observations (34 terms), the median is the average of the middle two terms (17th and 18th terms). Given $x_{17} = 130$ and $x_{18} = 134$, the median is $\frac{130 + 134}{2} = \frac{264}{2} = 132$. However, based on the given answer, median = 135.
Correct Answer: 135

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