What is the median of data if its mode is 15 and the mean is 30?
2014
What is the median of data if its mode is 15 and the mean is 30?
Answer: B. 25 — To find the median when the mean and mode are known, we use the empirical relationship formula: 3 × Median = 2 × Mean + Mode. Substitute the given values:…
- A.
30
- B.
25
- C.
22.5
- D.
27.5
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Correct answer: B
To find the median when the mean and mode are known, we use the empirical relationship formula: 3 × Median = 2 × Mean + Mode.
Substitute the given values: Mode = 15 and Mean = 30.
Calculate: 3 × Median = 2(30) + 15
Simplify: 3 × Median = 60 + 15 = 75
Solve for Median: Median = 75 / 3 = 25.
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