The average weight of a family of five members whose weights are 40 kg, 49 kg,…
2026
The average weight of a family of five members whose weights are 40 kg, 49 kg, 57 kg, 77 kg and 36 kg is:
Answer: A. 51.8 kg — ConceptThe arithmetic mean represents an equal share of a total across all observations. For n observations, mean = (sum of all observations) / n.…
- A.
51.8 kg
- B.
52.8 kg
- C.
53.8 kg
- D.
50.8 kg
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Show answer & explanation
Correct answer: A
Concept
The arithmetic mean represents an equal share of a total across all observations.
For n observations, mean = (sum of all observations) / n.
Application
Add the first two weights: 40 + 49 = 89 kg.
Include the third weight: 89 + 57 = 146 kg.
Include the fourth weight: 146 + 77 = 223 kg.
Include the fifth weight: 223 + 36 = 259 kg.
Divide the total by the five members: 259 / 5 = 51.8 kg.
Cross-check
Multiplying the computed mean by the number of members gives 51.8 × 5 = 259 kg, which reproduces the original total.
Therefore, the average weight is 51.8 kg.