Multiple choice

From a frequency distribution table if $N = 100, h = 10 ;c.f. = 38 ;f = 18 ;L = 50$, then find the median for the distribution. Choose the correct alternative.

  1. $56.67 $
  2. $55.76 $
  3. $56.76 $
  4. $ 55.87 $
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A Correct answer
Explanation

Median = L + [(N/2 - c.f.) / f] * h. Median = 50 + [(50 - 38) / 18] * 10 = 50 + (12 / 18) * 10 = 50 + (2/3) * 10 = 50 + 6.67 = 56.67.

AI explanation

Use the formula for the median of grouped data: Median = L + ((N/2 - c.f.) / f) * h. Substituting the given values gives 50 + ((100/2 - 38) / 18) * 10. This simplifies to 50 + (12 / 18) * 10, which equals 50 + 6.67. The final median is 56.67.

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