weighted average

Front

What is a weighted average?

Back

A weighted average is an average that takes into account the relative importance or weight of each value in a data set. It is calculated by multiplying each value by its weight, summing these products, and then dividing by the total weight.

Front

How do you calculate a weighted average?

Back

To calculate a weighted average, multiply each value by its corresponding weight, sum all the products, and then divide by the total of the weights.

Front

What is the formula for calculating the weighted average?

Back

Weighted Average = (Σ (value × weight)) / (Σ weight) where Σ denotes the sum.

Front

If a student has grades of 80, 90, and 100 with weights of 0.2, 0.5, and 0.3 respectively, what is the weighted average?

Back

Weighted Average = (80×0.2 + 90×0.5 + 100×0.3) / (0.2 + 0.5 + 0.3) = 92.

Front

What is the significance of weights in a weighted average?

Back

Weights determine the influence of each value on the final average. Higher weights mean that the corresponding value has more impact on the overall average.

Front

In a grading system, if tests are worth 60% and quizzes 15%, how would you calculate the overall grade?

Back

Multiply the test score by 0.6 and the quiz score by 0.15, then sum these products along with the contributions from other components.

Front

What is the difference between a simple average and a weighted average?

Back

A simple average treats all values equally, while a weighted average accounts for the relative importance of each value.

Front

How do you find the average of a set of numbers?

Back

To find the average, sum all the numbers and divide by the count of numbers.

Front

What is the average of the numbers 14, 15, 16, 18, and 16?

Back

Average = (14 + 15 + 16 + 18 + 16) / 5 = 15.8.

Front

If a student scores 85 in tests, 100 in quizzes, and 92 in papers with respective weights of 0.4, 0.2, and 0.2, what is their overall grade?

Back

Overall Grade = (85×0.4 + 100×0.2 + 92×0.2) / (0.4 + 0.2 + 0.2) = 89.2.