Respuesta :

Answer:

a) A student travelling to school on public transport: 15/52 or 0.231

b) A student walking to school: 16/52 or 0.308

c) A student not cycling to school: 43/52 or 0.827

Step-by-step explanation:

Total people = 52

Travel Method          Frequency

Public Transport           12

Car                                 15

Cycle                               9

Walk                                16

Find the relative frequency of.

The formula used will be: [tex]Relative\:Frequency=\frac{Given\: Frequency}{Size\: of\: sample \:space}[/tex]

a) A student travelling to school on public transport:

Given Frequency: 12

Size of sample space: 52

Apply formula: [tex]Relative\:Frequency=\frac{Given\: Frequency}{Size\: of\: sample \:space}[/tex]

Fraction = 12/52

Decimal = 0.231

b) A student walking to school

Given Frequency: 16

Size of sample space. 52

Apply formula: [tex]Relative\:Frequency=\frac{Given\: Frequency}{Size\: of\: sample \:space}[/tex]

Fraction = 16/52

Decimal = 0.308

c) A student not cycling to school.

We will consider all students except those who cycle.

12+15+16 = 43

Given Frequency: 43

Size of sample space. 52

Apply formula: [tex]Relative\:Frequency=\frac{Given\: Frequency}{Size\: of\: sample \:space}[/tex]

Fraction = 43/52

Decimal = 0.827