Given that the various faces of a fair dice 1, 2, 3, 4, 5, 6 appeared 30, 43, 54, 40, 41, 32 times respectively in a single toss. Picture the figures as being represented in a simple table with number (X) against frequency (f).

If a pie chart is used to depict the data, the angle corresponding to 4 is?

  • A 10°
  • B 16°
  • C 40°
  • D 60°
jamb 2000mathematics

The correct answer is D. 60°

The total number of times the dice was tossed is 30 + 43 + 54 + 40 + 41 + 32 = 240.

The relative frequency of the face with the number 4 is 40/240 = 1/6.

Since a pie chart represents proportions as angles, the angle corresponding to the face with the number 4 is (1/6) 360° = 60°.

Therefore, the angle corresponding to the face with the number 4 in a pie chart depicting this data is 60°.

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