Question:
Four groups of students, consisting of 15, 20, 10 and 18 individuals, reported mean weights of 162, 148, 153 and 140 pounds respectively. The mean weight of all the students is:
Four groups of students, consisting of 15, 20, 10 and 18 individuals, reported mean weights of 162, 148, 153 and 140 pounds respectively. The mean weight of all the students is:
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Combined Mean = $\frac{\text{Sum of all values}}{\text{Total count}}$.
Updated On: Jun 26, 2026
- 140 pounds
- 150 pounds
- 160 pounds
- 165 pounds
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The Correct Option is B
Solution and Explanation
Step 1: Concept
Combined Mean formula.
Step 2: Analysis
$\text{Combined Mean} = \frac{n_1\mu_1 + n_2\mu_2 + n_3\mu_3 + n_4\mu_4}{n_1 + n_2 + n_3 + n_4}$.
Step 3: Calculation
Total weight = $(15 \times 162) + (20 \times 148) + (10 \times 153) + (18 \times 140) = 2430 + 2960 + 1530 + 2520 = 9440$.
Total students = $15 + 20 + 10 + 18 = 63$.
$\text{Mean} = \frac{9440}{63} \approx 149.8$.
Step 4: Conclusion
Rounding to the nearest provided option, the mean weight is 150 pounds. Final Answer: (B)
Combined Mean formula.
Step 2: Analysis
$\text{Combined Mean} = \frac{n_1\mu_1 + n_2\mu_2 + n_3\mu_3 + n_4\mu_4}{n_1 + n_2 + n_3 + n_4}$.
Step 3: Calculation
Total weight = $(15 \times 162) + (20 \times 148) + (10 \times 153) + (18 \times 140) = 2430 + 2960 + 1530 + 2520 = 9440$.
Total students = $15 + 20 + 10 + 18 = 63$.
$\text{Mean} = \frac{9440}{63} \approx 149.8$.
Step 4: Conclusion
Rounding to the nearest provided option, the mean weight is 150 pounds. Final Answer: (B)
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