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Marks 5 – 7 8 – 10 11 – 13 14 –  16 17 -…

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
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