Question

Complete the table below to show the relative frequencies of the data in the first row.

Enter numbers in the boxes as the decimals to the hundredth place.

Category 1;
Group 1: 30
Group 2: 90

Category 2;
Group 1: 14
Group 2: 32

Answer 1

Answer: The relative frequency of group 1=
`0.25`

The relative frequency of group 2=
`0.75`

Explanation:

The total numbers in the first row =
`30+90=120`

Group 1: 30

The relative frequency of group 1=
`\frac{\text{Number in group 1}}{\text{total in first row}}`

∴The relative frequency of group 1=
`(30)/(120)=0.25`

Similarly, Group 2: 90

The relative frequency of group 2=
`\frac{\text{Number in group 2}}{\text{total in first row}}`

∴The relative frequency of group 2=
`(90)/(120)=0.75`

Answer 2

The total number of items in category 1 for groups 1 and 2 is
30 + 90 = 120
The relative frequency for category 1 in group 1 is
30/120 = 25%
The relative frequency for category in group 2 is
90/120 = 75%