Weighted Averages AMDM NIX

Front

What is a weighted average?

Back

A weighted average is a calculation that takes into account the importance or weight of each value being averaged.

Front

How do you calculate a weighted average?

Back

Multiply each value by its corresponding weight, sum up the results, and then divide by the sum of the weights.

Front

If a store sells 10 pounds of type A apples at $1.50, 5 pounds of type B apples at $2.00, and 3 pounds of type C apples at $2.50, what is the weighted average price per pound?

Back

$1.8056

Front

A student's final grade is calculated based on tests (40%), projects (30%), and participation (30%). If the scores are 85%, 90%, and 95% respectively, what is the weighted average grade?

Back

89.5

Front

If a student's test scores are weighted 40% for tests, 30% for quizzes, and 30% for homework, and the scores are 80%, 90%, and 95% respectively, what is the student's weighted average?

Back

87.5

Front

What is the formula for calculating a weighted average?

Back

Weighted Average = (Value1 * Weight1 + Value2 * Weight2 + ... + ValueN * WeightN) / (Weight1 + Weight2 + ... + WeightN)

Front

Why is a weighted average used instead of a simple average?

Back

A weighted average is used to give more importance to certain values based on their significance or frequency.

Front

In a weighted average, what happens if one value has a much higher weight than others?

Back

The final average will be more influenced by that value, reflecting its greater importance.

Front

What is the significance of weights in a weighted average?

Back

Weights determine the relative importance of each value in the calculation of the average.

Front

If a student scores 70% on a test weighted 50% and 90% on a project weighted 50%, what is the weighted average?

Back

80%.