Answer to Question #190498 in Statistics and Probability for kara

Question

brian asked a group of people their favourite holiday destination.

the results are summarised in the table.

destination uk. europe. usa. africa. other

frequency. 156. 270. 204. 216. 234

angle. ? ? ? ? ?

work out the size of each angle to draw a pie chart

a= ? b= ? c=? d= ? e= ?

Answer 1

Total number of people:

$156+270+204+216+ 234=1080$

So, angle in pie-chart will be:

UK:

$$\frac{156}{1080}\cdot360\degree=52\degree$$

Europe:

$$\frac{270}{1080}\cdot360\degree=90\degree$$

USA:

$$\frac{204}{1080}\cdot360\degree=68\degree$$

Africa:

$$\frac{216}{1080}\cdot360\degree=72\degree$$

Other:

$$\frac{234}{1080}\cdot360\degree=78\degree\\\$$

Pie-Chart: