Question

fun flips gymnastics offers a variety of classes. they have 6 tumbling classes, 7 rhythm classes, 5 trampoline classes, and 7 beam classes. complete the relative frequency table for the data. classes at fun flips gymnastics class tumbling rhythm trampoline beam relative frequency % % % % submit

Explanation:

Step1: Calculate total number of classes

First, we find the total number of classes by adding the number of each type of class. The number of tumbling classes is 6, rhythm classes is 7, trampoline classes is 5, and beam classes is 7. So the total number of classes \( N = 6 + 7 + 5 + 7 \).
\[
N=6 + 7+5 + 7=25
\]

Step2: Calculate relative frequency for Tumbling

The relative frequency of a class is calculated as the number of that class divided by the total number of classes, then multiplied by 100 to get a percentage. For Tumbling, the number of classes is 6. So relative frequency \( f_{Tumbling}=\frac{6}{25}\times100 \).
\[
f_{Tumbling}=\frac{6}{25}\times100 = 24\%
\]

Step3: Calculate relative frequency for Rhythm

For Rhythm, the number of classes is 7. So relative frequency \( f_{Rhythm}=\frac{7}{25}\times100 \).
\[
f_{Rhythm}=\frac{7}{25}\times100=28\%
\]

Step4: Calculate relative frequency for Trampoline

For Trampoline, the number of classes is 5. So relative frequency \( f_{Trampoline}=\frac{5}{25}\times100 \).
\[
f_{Trampoline}=\frac{5}{25}\times100 = 20\%
\]

Step5: Calculate relative frequency for Beam

For Beam, the number of classes is 7. So relative frequency \( f_{Beam}=\frac{7}{25}\times100 \).
\[
f_{Beam}=\frac{7}{25}\times100 = 28\%
\]

Answer:

Tumbling: \( 24\% \), Rhythm: \( 28\% \), Trampoline: \( 20\% \), Beam: \( 28\% \)