Weighted average - practice problemsDirection: Solve each problem carefully and show your solution in each item.
Number of problems found: 90
- The average 11
The average of a set of 7 numbers is 20. The average of a second set of 13 numbers is 40. What is the mean of all 20?
- The mean
The mean of four numbers is 5, and the mean of three different numbers is 12. What is the mean of the seven numbers together?
- Six numbers
The average of 6 numbers is 3.95. the average of two of them is 3.4, while the average of the other two is 3.85. What is the average of the remaining two numbers?
- Two classes
The average of 1A class of 25 is 12 years, and the average age of 1B class of 22 is 10 years. What is the average age of the pupils of 1A and 1B classes?
- Average grade
In the 9th grade, the teacher evaluated 24 pupils in the semester: 5 received grade 1, 8 received grade 2, and 11 received grade 3. Find the average grade in mathematics.
- 5 people
Five people have $122000 each, and one person has $539000. How much should each person (equally) pay?
- The midpoint 3
Ranges are 10-20 20-30 30-40 40-50. If the frequency is 7 15 26 12, what is the midpoint?
- Kerosine and petrol
If 4 liters of petrol containing 15% kerosine are added to another 7 liters of petrol containing 10% kerosine, what percentage of the petrol is kerosine?
- Discrete and continuous
2,3,4,4,5,5,5,6,6,7 Assume the scores are measurements of a Discrete variable and find the median. Assume the scores are measurements of a continuous variable and find the median by locating the precise midpoint of the distribution.
- Suppose 12
Suppose in a physics test involving 30 students, and four scored 75%, eight scored 60%, twelve scored 50%, and six scored 30%. Calculate the mean of the group and the standard deviation.
- The triangle
Three vertices give the triangle: A [0.0] B [-4.2] C [-6.0] Calculate V (intersection of heights), T (center of gravity), O - the center of a circle circumscribed
- Weighted harmonic average
Ten workers will do some work in 2 minutes, five in 10 minutes, and three in 6 minutes. How many minutes per average worker per worker?
Carpenters 1 and 2 spend ten days and five days respectively to make one table. The first carpenter and 30 made 50 tables by the second. What is the average time spent on the products?
- Average score
In a math exam, two students scored 95, six students scored 90, 3 students scored 80, and one student scored 50. What was the average score for the class?
- The salary 2
The salary for a group of executives was listed as follows: 18 at P50,000:10 at P60,000; 8 at P75,000:2 at P90,000; and two at P10,000. The average salary is:
- Octane value
I loaded 10L 95 octane gasoline and 5L 100 octane gasoline. What is the resulting octane value of the gasoline in the tank?
- Calculate 63894
In the 8A class, the average height of 12 girls is 156 cm, and the average height of 14 boys is 172 cm. Calculate the average number of students in 8A.
- Credit courses
A student takes a 5 credit course, a four-credit course, two three-credit courses, and a one-credit course. He gets a C in the five-credit course, a B in the four-credit course and one of the three-credit courses, and an A in the other three-credit course
In the 7C class, there are ten girls and 20 boys. Yesterday was missing 20% of girls and 50% of boys. What percentage of students are missing?
- Contains 5779
Juice contains 20% sugar, and apple juice contains 30% sugar. How much percent of sugar will be contained in a mixture of two liters of juice and three liters of apple juice?