Question

If you were to construct a circle graph of the data, how many degrees would beallotted to each category?Less than 1 hour: 8%1-2 hours: 29%2-3 hours: 58%3-4 hours: 3%Over 4 hours: 2%

Answer 1

On a circle graph, if the data represents x%, it corresponds to x% of 360 degrees.

For example, if a data represents 50%, a circle has 360 degrees, then it must be 50% of 360 degrees allotted for that data. Then, in fact, we are going to do x% of 360º for each category:

Less than 1 hour: 8% of 360 degrees

1-2 hours: 29% of 360 degrees

2-3 hours: 58% of 360 degrees

3-4 hours: 3% of 360 degrees

Over 4 hours: 2% of 360 degrees.

Now we need to do all that calculus:

`360\cdot8\%=28.8^(\circ)`

Hence,

Less than 1 hour: 28.8 degrees

Doing that for each category:

1-2 hours

`360\cdot29\%=104.4^(\circ)`

1-2 hours: 104.4 degrees

2-3 hours

`360\cdot58\%=208.8^(\circ)`

2-3 hours: 208.8 degrees

3-4 hours