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For Class 8, 9 & 10

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Concept-first questions with clear model answers across all four subjects, aligned to NCERT. Start early, build the habit, and walk into your board exams, NEET and JEE already ahead.

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Showing 1 question for Class 10. Tap a card to reveal the answer.

MathematicsStatisticsmedium

The mean of a distribution is 27 and its median is 30. Estimate the mode using the empirical relationship.

Reveal answer ↓

What it is

For a moderately skewed data set, the three averages link as Mode = 3 Median - 2 Mean.

Answer

The empirical relationship between the three measures of central tendency is Mode = 3 Median - 2 Mean. Substituting, Mode = 3(30) - 2(27) = 90 - 54 = 36.

Mode = 3 Median - 2 Mean

  • •Mode = 3 Median - 2 Mean
  • •= 3(30) - 2(27)
  • •= 90 - 54 = 36

Why learn this

It estimates the most common value from the other two - handy in surveys and economics.

💡 Memory trick

Mode = 3 Median - 2 Mean ('3M minus 2-Mean gives the Mode').