Weighted Averages Practice

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 dataset.

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

What is the formula for calculating a weighted average?

Back

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

Front

Why would you use a weighted average instead of a traditional average?

Back

Because the value you are trying to calculate is made up of categories which each have different weights.

Front

If a test has scores of 65, 75, 82, 88, and 95, what is the weighted average if each score has equal weight?

Back

The weighted average is 81.

Front

What is the weight of a category in a weighted average?

Back

The weight of a category is a numerical value that represents its relative importance in the overall average.

Front

How do you determine the weight of each category in a weighted average?

Back

The weight can be determined based on the significance of each category, often expressed as a percentage of the total.

Front

If you have a 85 average for Daily (20%) and a 75% average for Minor (30%), what do you need for a Major average (50%) to have an overall average of 83?

Back

You need a Major average of 87.

Front

What is the impact of a low score on a weighted average?

Back

A low score can significantly lower the overall weighted average, especially if it has a high weight.

Front

How do you calculate the final grade if each Quarter is weighted 20%, Midterm 10%, and Final 10%?

Back

Final Grade = (Q1 + Q2 + Q3 + Q4) × 0.2 + Midterm × 0.1 + Final × 0.1.