Question:
If the mean and median are 28.33 and 28 respectively, then the mode is ____.
If the mean and median are 28.33 and 28 respectively, then the mode is ____.
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Remember: Mode = $3 \times$ Median $- 2 \times$ Mean.
Updated On: Apr 23, 2026
- 28.5
- 27.33
- 28
- 28.66
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The Correct Option is B
Solution and Explanation
Concept:
Empirical relation:
\[
{Mode} = 3 \times {Median} - 2 \times {Mean}
\]
Step 1: Substitute values.
\[ = 3 \times 28 - 2 \times 28.33 \] \[ = 84 - 56.66 = 27.34 \approx 27.33 \]
Hence, the mode is approximately 27.33.
Step 1: Substitute values.
\[ = 3 \times 28 - 2 \times 28.33 \] \[ = 84 - 56.66 = 27.34 \approx 27.33 \]
Hence, the mode is approximately 27.33.
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