Average Body Weight Calculation
This question asks us to find the average body weight of eight members of a club, given their individual body weights.
Given Data
The body weights of the eight members are:
- 69 kg
- 63 kg
- 72 kg
- 76 kg
- 82 kg
- 93 kg
- 59 kg
- 55 kg
The total number of members is 8.
Step-by-Step Calculation
To find the average body weight, we need to sum all the individual weights and then divide by the total number of members.
Step 1: Sum the body weightsAdd all the given weights together:
$ \text{Sum} = 69 + 63 + 72 + 76 + 82 + 93 + 59 + 55 $
$ \text{Sum} = 569 \text{ kg} $
Step 2: Count the number of membersThere are 8 members whose weights were recorded.
$ \text{Number of members} = 8 $
Step 3: Calculate the average weightThe formula for the average (mean) is the sum of the values divided by the count of the values.
$ \text{Average} = \frac{\text{Sum of weights}}{\text{Number of members}} $
Substitute the values we found:
$ \text{Average} = \frac{569}{8} $
Performing the division:
$ \text{Average} = 71.125 \text{ kg} $
Conclusion
The calculated average body weight is 71.125 kg. When rounded to two decimal places, this is 71.13 kg.
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