the two - way frequency table below shows data on playing a sport and playing a musical instrument for…
the two - way frequency table below shows data on playing a sport and playing a musical instrument for students in a class. complete the following two - way table of row relative frequencies. (if necessary, round your answers to the nearest hundredth.) plays sports does not play sports plays a musical instrument 6 7 does not play a musical instrument 8 3 plays a sport does not play a sport row total plays a musical instrument 1.00 does not play a musical instrument 1.00
Answer
Explanation:
Step1: Calculate row - relative frequency for "Plays a musical instrument" and "Plays sports"
The row - total for "Plays a musical instrument" is $6 + 7=13$. The row - relative frequency is $\frac{6}{13}\approx0.46$.
Step2: Calculate row - relative frequency for "Plays a musical instrument" and "Does not play sports"
The row - relative frequency is $\frac{7}{13}\approx0.54$.
Step3: Calculate row - relative frequency for "Does not play a musical instrument" and "Plays sports"
The row - total for "Does not play a musical instrument" is $8 + 3 = 11$. The row - relative frequency is $\frac{8}{11}\approx0.73$.
Step4: Calculate row - relative frequency for "Does not play a musical instrument" and "Does not play sports"
The row - relative frequency is $\frac{3}{11}\approx0.27$.
Answer:
| Plays a sport | Does not play a sport | Row total | |
|---|---|---|---|
| Plays a musical instrument | 0.46 | 0.54 | 1.00 |
| Does not play a musical instrument | 0.73 | 0.27 | 1.00 |