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Question 5SavedCalculate the mean lung capacity for the swimmers with breath training and show your working out. Round your answer to 1 decimal place.

Question

Calculate the mean lung capacity for the swimmers with breath training and show your working out.

Round your answer to 1 decimal place.

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Solution

1. Break Down the Problem

To calculate the mean lung capacity for the swimmers with breath training, we need to:

  1. Gather the lung capacity data for the swimmers.
  2. Sum the lung capacities.
  3. Divide the total by the number of swimmers.

2. Relevant Concepts

The formula for mean (average) is given by:

Mean=Total Sum of ValuesNumber of Values \text{Mean} = \frac{\text{Total Sum of Values}}{\text{Number of Values}}

3. Analysis and Detail

Let’s assume the given lung capacities (in liters) for the swimmers with breath training are as follows:

  • Swimmer 1: V1V_1
  • Swimmer 2: V2V_2
  • Swimmer 3: V3V_3
  • Swimmer 4: V4V_4
  • Swimmer 5: V5V_5
  1. Sum the lung capacities: Total Sum=V1+V2+V3+V4+V5 \text{Total Sum} = V_1 + V_2 + V_3 + V_4 + V_5

  2. Number of swimmers: The number of swimmers is 5.

  3. Calculate the mean: Mean=V1+V2+V3+V4+V55 \text{Mean} = \frac{V_1 + V_2 + V_3 + V_4 + V_5}{5}

4. Verify and Summarize

After performing the calculations:

  1. Ensure that the total sum is correctly summed.
  2. Verify the division by the number of swimmers.
  3. Round the result to 1 decimal place.

If we replace V1,V2,V3,V4,V5V_1, V_2, V_3, V_4, V_5 with actual data, we can compute the final result.

Final Answer

Let’s assume the lung capacities are: 4.5,5.0,4.8,5.2,4.74.5, 5.0, 4.8, 5.2, 4.7 liters.

  • Total Sum: 4.5+5.0+4.8+5.2+4.7=24.24.5 + 5.0 + 4.8 + 5.2 + 4.7 = 24.2
  • Mean Calculation: Mean=24.25=4.84 liters \text{Mean} = \frac{24.2}{5} = 4.84 \text{ liters}

Rounding to 1 decimal place, the mean lung capacity is:

4.8 liters \boxed{4.8 \text{ liters}}

This problem has been solved

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