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The ages (in years) of 150 people attending a health camp, grouped in unequal classes:
0-5 -> 18, 5-15 -> 32, 15-35 -> 45, 35-60 -> 37, 60-90 -> 18.
Which class contains the median, and what class size h goes with it?

Class 10Median of Grouped DataStatistics and Probability
  • A15-35 with h = 20
  • B5-15 with h = 10
  • C35-60 with h = 25
  • D15-35 with h = 10

Step-by-Step Solution

Cumulative: 18, 50, 95, 132, 150, so and . The first cf to reach 75 is 95, so the median lies in 15-35, whose own width is . 5-15 is the row that supplies cf = 50, not the median class. 35-60 is one row too far. The last option keeps the right class but borrows from the second class — must always be the median class's own width, especially when the widths are unequal.
Answer: A) 15-35 with h = 20

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