Question

What are the relative frequencies to the nearest hundredth of the columns of the two-way table? A B Group 1 102 34 Group 2 18 14

Answer 1

Column A: 102+18=120

Group 1:

102/120=0.85

Group 2:

18/120=0.15

Column B: 34+14=48

Group 1:

34/48=0.71

Group 2:

14/48=0.29

Hope this helps. :)

Answer 2

Answer: The relative frequencies to the nearest hundredth of the columns of the two-way table is given by :-

A B

Group 1 0.85 0.71

Group 2 0.15 0.29

Explanation:

Given two-way table : A B

Group 1 10 34

Group 2 18 14

Total data value in column A =
`102+18=120`

Total data value in column B =
`34+14=48`

Now, the relative frequency for Group 1 with column A =
`(102)/(120)=0.85`

The relative frequency for Group 1 with column B =
`(34)/(48)=0.708333333..\approx0.71`

Now, the relative frequency for Group 2 with column A =
`(18)/(120)=0.15`

The relative frequency for Group 2 with column B =
`(14)/(48)=0.2916666666..\approx0.29`