Aschool for learning foreign languages has 72 students who learn german, and 54 of those students also learn russian. there are 12 students who do not learn german but learn russian, and 10 students do not learn either german or russian. which table best shows the relative frequency of rows for the data? (5 points) learn german do not learn german total learn russian 0.82 0.18 1 do not learn russian 0.64 0.36 1 total 0.77 0.23 1 learn german do not learn german total learn russian 0.57 0.13 1 do not learn russian 0.19 0.11 1 total 0.77 0.23 1 learn german do not learn german total learn russian 0.75 0.55 1 do not learn russian 0.25 0.45 1 total 0.77 0.23 1 learn german do not learn german total learn russian 0.54 0.12 1 do not learn russian 0.18 0.10 1 total 0.72 0.22 1

We are given a information that:

A school for learning foreign languages has 72 students who learn German, and 54 of those students also learn Russian. There are 12 students who do not learn German but learn Russian, and 10 students do not learn either German or Russian.

Based on this information we can make our table as:

                Learn German        don't learn German      Total

LR               54                               12                                66

DNLR           18                                10                                28

Total           72                               22                               94

DNLR represent do not learn Russian and LR represent learn Russian.

Now for finding the conditional relative frequency table we divide each of the quantities by the total sum of each row i.e. first row is obtained by dividing by 66, second by dividing by 28 and third by dividing by 94 to obtain the table as:

                Learn German        don't learn German      Total

LR              0.82                             0.18                              1

DNLR          0.64                             0.36                             1

Total           0.77                              0.23                            1

The conditional relative frequency of rows:

It is the relative frequency corresponding to each row.

It is obtained when we divide each entry of each row by it's corresponding row total.

It is given that:

This means that the sum of the first column i.e. who learn German is: 72

and first entry of first row is: 54

Hence, first entry of second row is: 72-54=18

This means that the second entry of first row is: 12

This means that the second entry of second row is: 10.

          The FIRST TABLE is the answer.