Question:easy
What is the median of this set of values: 2, 5, 7, 10, 10, 15, 20?
What is the median of this set of values: 2, 5, 7, 10, 10, 15, 20?
Show Hint
With 7 values sorted, the median is the 4th value.
Updated On: Jul 8, 2026
- 2
- 10
- 15
- 20
Show Solution
The Correct Option is B
Solution and Explanation
Step 1: Sort and count.
The seven numbers $2, 5, 7, 10, 10, 15, 20$ are already sorted from smallest to largest, and there are $7$ of them, an odd count.
Step 2: Trim from both ends.
An easy way to find the median with an odd count is to strike off the smallest and largest values together, one pair at a time, until one value is left.
Remove $2$ and $20$: left with $5, 7, 10, 10, 15$.
Remove $5$ and $15$: left with $7, 10, 10$.
Remove $7$ and the second $10$: left with just $10$.
Step 3: Read the answer.
The one value remaining after trimming is the median.
\[ \boxed{10} \]
The seven numbers $2, 5, 7, 10, 10, 15, 20$ are already sorted from smallest to largest, and there are $7$ of them, an odd count.
Step 2: Trim from both ends.
An easy way to find the median with an odd count is to strike off the smallest and largest values together, one pair at a time, until one value is left.
Remove $2$ and $20$: left with $5, 7, 10, 10, 15$.
Remove $5$ and $15$: left with $7, 10, 10$.
Remove $7$ and the second $10$: left with just $10$.
Step 3: Read the answer.
The one value remaining after trimming is the median.
\[ \boxed{10} \]
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