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Scores (out of 50) of 64 students are grouped in a histogram with classes 0-10, 10-20, 20-30, 30-40, 40-50.
Frequencies are 4, 10, 20, 18, 12. A scholarship goes to the top 25% of students by score band (highest score bands).
What is the minimum score (lower class limit) a student must reach to be in the qualifying bands?

Class 8Bar Graphs and HistogramsData Handling
  • A30
  • B40
  • C20
  • D10

Step-by-Step Solution

25% of 64 = 16 students. Top band 40-50 has 12; adding 30-40 (18) exceeds 16, so the qualifying bands are 30-40 and 40-50, with lower class limit 30.
Answer: A) 30

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