Question:
Find the median of the dataset: 8, 12, 15, 22, 26, 29.
Find the median of the dataset: 8, 12, 15, 22, 26, 29.
Updated On: Oct 6, 2025
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Solution and Explanation
Step 1: Arrange the data in ascending order.
The data is already in ascending order: \[ 8, 12, 15, 22, 26, 29 \]
Step 2: Determine the number of observations.
There are \( n = 6 \) observations.
Step 3: Since \( n \) is even, the median is the average of the two middle terms.
The two middle terms are the 3rd and 4th terms: \( 15 \) and \( 22 \). \[ \text{Median} = \frac{15 + 22}{2} \]
Step 4: Simplify the result.
\[ \text{Median} = \frac{37}{2} = 18.5 \]
Final Answer: \(\boxed{18.5}\)
Short Explanation (Why this works)
The median represents the middle value of a dataset when arranged in order. For even-sized datasets, it’s the mean of the two central numbers. Hence, for this dataset, the median is \( 18.5 \).
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