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Marks 5 - 7 8 - 10 11 - 13 14 -  16 17 -...

Further Mathematics
WAEC 2007

Marks 5 - 7 8 - 10 11 - 13 14 -  16 17 - 19 20 - 22
Frequency 4 7 26 41 14 8

The table above shows the marks obtained by 100 pupils in a test. Find the upper class boundary of the class containing the third quartile.

  • A. 13.0
  • B. 16.0
  • C. 16.5
  • D. 22.5
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Correct Answer: Option C
Explanation

The third quartile can be found in the \((\frac{3N}{4})^{th}\) position

= \((\frac{3 \times 100}{4})^{th}\) position

This is found in the class 14 - 16.

The upper class boundary = 16.5


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