Question

This question is kinda confusing :(

Answer 1

Answer for shoe size 6 is frequency of 12

And the pie chart for size 6 = 108 degrees

Step by step

Given frequencies of 20 and 8 and total people counted is 40.

40 - 20 - 8 = 12 for the missing frequency.

The pie chart for size 6 would be 12/40 because we now know the frequency is 12 out of 40 people.
A pie chart is a whole circle which is 360 degrees.
12/40 of (multiply) 360 = 108 degrees

Answer 2

The missing frequency for size 6 is 12. In a pie chart representing shoe sizes, the central angle for size 6 should be 108 degrees, calculated based on the frequency proportion.

To find the missing frequency for shoe size 6, we can first determine the total frequency by adding the known frequencies:

20 + ? + 8 = Total Frequency

The total frequency is equal to the number of people, which is given as 40 in this case. Therefore, the equation becomes:

20 + ? + 8 = 40

Solving for the missing frequency (?), we subtract 28 from both sides, resulting in:

? = 40 - 20 - 8 = 12

So, the missing frequency for shoe size 6 is 12.

Now, to find the central angle for size 6 in a pie chart, we use the formula:

Central Angle (in degrees) = (Frequency for Size 6 / Total Frequency) * 360

Substituting in the values:

Central Angle = (12 / 40) * 360 = 108

Therefore, the central angle for the section representing size 6 in the pie chart should be 108 degrees.