The table shows the distribution of marks obtained by some students in a test
Marks 0-9 10-19 20-29 30-39 40-49
Frequency 4 12 16 6 2
What is the upper class boundary of the upper quartile class?
  • A 49.5
  • B 39.5
  • C 29.5
  • D 19.5

The correct answer is C. 29.5

£f = 4 + 12 + 16 + 6 +2 = 40

Upper quartile class

= 3/4 of 40 = 30th position

Counting from the distribution table to the 30th position,

the upper class boundary is 29.5

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