Question

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. Which table best shows the conditional relative frequency of rows for the data?

Answer 1

Answer:

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