Question

A dance school has 54 students who learn salsa, and 23 of those students also learn ballet. There are 15 students who do not learn salsa but learn ballet, and 10 students do not learn either salsa or ballet. Which table best shows the conditional relative frequency of rows for the data?

Learn salsa Do not learn salsa Total

Learn ballet 0.29 0.19 1

Do not learn ballet 0.39 0.13 1

Total 0.68 0.32 1


Learn salsa Do not learn salsa Total

Learn ballet 0.61 0.39 1

Do not learn ballet 0.76 0.24 1

Total 0.68 0.32 1


Learn salsa Do not learn salsa Total

Learn ballet 0.43 0.60 1

Do not learn ballet 0.57 0.4 1

Total 0.68 0.32 1


Learn salsa Do not learn salsa Total

Learn ballet 0.23 0.15 1

Do not learn ballet 0.31 0.10 1

Total 0.54 0.25 1

Answer 1

a conditional relative frequency is found by dividing a frequency that is not in the Total row or the Total column by the frequency’s row total or column total. To find the conditional relative frequency of rows, we divide each frequency in a row by the row total. For example, the conditional relative frequency of learning salsa given that the student learns ballet is 23/38 = 0.61. The table that best shows the conditional relative frequency of rows for the data is:

Learn salsa Do not learn salsa Total

Learn ballet 0.61 0.39 1

Do not learn ballet 0.76 0.24 1

Total 0.68 0.32 1

Explanation: