Question

The guidance office at a high school surveyed their 12th grade students to know in which of four states they would prefer to live in after highschool. The results are summarized in the tso way frequency table below.

Which two-way table accurately represents the relative frequency for the whole table in this situation?

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Answer 1

It would be the first table (taking the test right now) p.s sorry if im late

Explanation:

CA TX NY FL Total

Boys 0.21 0.095 0.16 0.11 0.575

Girls 0.125 0.11 0.065 0.125 0.425

Total 0.335 0.205 0.225 0.235 1

Answer 2

Hence, the two way frequency table is:

Action Drama Comedy total

Highschool 26/128=0.20 14/128=0.11 22/128=0.17 0.48

College 20/128=0.16 28/128=0.22 18/128=0.14 0.52

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total 0.36 0.33 0.31 1

Step-by-step explanation:

" When a two-way table displays percentages or ratios (called relative frequencies), instead of just frequency counts, the table is referred to as a two-way relative frequency table " .

We are given a table or data as:

Action Drama Comedy Total

Highschool 26 14 22 62

College 20 28 18 68

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Total 46 42 40 128

The total number of students in all the categories and classes are: 128

Hence the two way frequency table is constructed by dividing all the frequencies by the total number of students i.e. 128.

Action Drama Comedy total

High school 26/128=0.20 14/128=0.11 22/128=0.17 0.48

College 20/128=0.16 28/128=0.22 18/128=0.14 0.52

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total 0.36 0.33 0.31 1