5. An elevator at EJ tower is designed to carry a maximum load of 800 pounds. Is it overload if it carries- a. 15 passenger whose mean weight is 126 pounds? b. 12 men whose mean weight is 118 pounds and 8 women whose mean weight is 150 pounds?
5. An elevator at EJ tower is designed to carry a maximum load of 800 pounds. Is it overload if it carries- a. 15 passenger whose mean weight is 126 pounds? b. 12 men whose mean weight is 118 pounds and 8 women whose mean weight is 150 pounds?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
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#### Problem Set:
1. **An elevator at EJ tower is designed to carry a maximum load of 800 pounds. Is it overload if it carries:**
- a: 15 passengers whose mean weight is 126 pounds?
- b: 12 men whose mean weight is 118 pounds and 8 women whose mean weight is 150 pounds?
2. **The mean grade of 10 students is 86. Accidentally, after computing the mean, the teacher erased the grade of the 10th student. What is the grade of this student if the grades of the other 9 students are as follows: 78, 85, 87, 96, 75, 90, 86, 92, and 90? What is the median?**
3. **The ages of 6 fourth-year students are 16, 15, 14, 17, 18, and 16. If the mean of their ages together with that of their teacher is 18, how old is their teacher?**
4. **The mean annual salary of 3 government employees is P80,000.00. Can one of the employees receive an annual salary of P250,000.00?**
#### Detailed Solutions and Explanations:
1. **Elevator Load Problem:**
- **a: 15 passengers with mean weight of 126 pounds:**
- Total weight = 15 passengers * 126 pounds/passenger = 1890 pounds.
- Since 1890 pounds > 800 pounds, this load will overload the elevator.
- **b: 12 men with mean weight of 118 pounds and 8 women with mean weight of 150 pounds:**
- Total weight of men = 12 * 118 pounds = 1416 pounds.
- Total weight of women = 8 * 150 pounds = 1200 pounds.
- Combined weight = 1416 pounds + 1200 pounds = 2616 pounds.
- Since 2616 pounds > 800 pounds, this load will overload the elevator.
2. **Grade Calculation:**
- Total sum of grades for 10 students = Mean * Number of students = 86 * 10 = 860.
- Sum of grades of 9 known students = 78 + 85 + 87 + 96 + 75 +
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