1. **Stating the problem:** We have maximum heart rates (beats per minute) recorded for four different workouts, each with five values. We want to analyze these data points, possibly calculating statistics like mean or variance, or comparing workouts. 2. **Understanding the data:** The table shows heart rates for workouts #1 to #4: Workout #1: 159, 170, 152, 169, 172 Workout #2: 199, 179, 162, 180, 177 Workout #3: 185, 169, 157, 176, 168 Workout #4: 190, 184, 177, 186, 162 3. **Formula and statistics:** A common formula for analyzing such data is the mean (average) heart rate for each workout: $$\text{Mean} = \frac{\sum_{i=1}^n x_i}{n}$$ where $x_i$ are the heart rate values and $n=5$ is the number of values per workout. 4. **Calculating means:** - Workout #1 mean: $$\frac{159 + 170 + 152 + 169 + 172}{5} = \frac{822}{5} = 164.4$$ - Workout #2 mean: $$\frac{199 + 179 + 162 + 180 + 177}{5} = \frac{897}{5} = 179.4$$ - Workout #3 mean: $$\frac{185 + 169 + 157 + 176 + 168}{5} = \frac{855}{5} = 171.0$$ - Workout #4 mean: $$\frac{190 + 184 + 177 + 186 + 162}{5} = \frac{899}{5} = 179.8$$ 5. **Interpretation:** Workout #4 has the highest average maximum heart rate, followed closely by Workout #2. Workout #1 has the lowest average. 6. **Additional analysis:** If the formula input "F =" is for a test statistic, it might be used for ANOVA or t-tests to compare means statistically, but more context is needed. Final answer: The mean maximum heart rates for the workouts are: Workout #1: 164.4 bpm Workout #2: 179.4 bpm Workout #3: 171.0 bpm Workout #4: 179.8 bpm