Mathematics 2000 JAMB Past Questions - Question 44: 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?

Correct Answer

D

Explanation

Angle corresponding to 4 in the pie chart = 40 /240 x 360 = 60To find the angle corresponding to the number 4 in the pie chart, we need to calculate the percentage of times the number 4 appeared in the toss.To find the angle corresponding to the number 4 in the pie chart, we need to calculate the percentage of times the number 4 appeared in the toss.The total frequency of all the numbers is:30 + 43 + 54 + 40 + 41 + 32 = 240The percentage of times the number 4 appeared is:(40 / 240) * 100 = 16.67%To find the angle corresponding to this percentage in the pie chart, we can use the formula:Angle = (Percentage / 100) * 360Angle = (16.67 / 100) * 360Angle ≈ 60 degreesTherefore, the angle corresponding to the number 4 in the pie chart is approximately 60 degrees.The total frequency of all the numbers is:30 + 43 + 54 + 40 + 41 + 32 = 240The percentage of times the number 4 appeared is:(40 / 240) * 100 = 16.67%To find the angle corresponding to this percentage in the pie chart, we can use the formula:Angle = (Percentage / 100) * 360Angle = (16.67 / 100) * 360Angle ≈ 60 degreesTherefore, the angle corresponding to the number 4 in the pie chart is approximately 60 degrees.