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 258 183 159 252 228
Angle a b c d e

Answer 1

Total frequency = 258 + 183 + 159 + 252 + 228 = 1080

Angle of each = 360/1080 = 1/3

Angle a = 1/3 x 258 = 86

Angle b = 1/3 x 183 = 61

Angle c = 1/3 x 159 = 53

Angle d = 1/3 x 252 = 84

Angle e = 1/3 x 228 = 76

Explanation:

Total frequency = 258 + 183 + 159 + 252 + 228 = 1080

Angle of each = 360/1080 = 1/3

Angle a = 1/3 x 258 = 86

Angle b = 1/3 x 183 = 61

Angle c = 1/3 x 159 = 53

Angle d = 1/3 x 252 = 84

Angle e = 1/3 x 228 = 76