Weighted Averages

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 weight, sum these products, and then divide by the total of the weights.

Front

What is the formula for calculating the mean?

Back

Mean = (Sum of all values) / (Number of values)

Front

What is the difference between mean and median?

Back

Mean is the average of all values, while median is the middle value when the data is ordered.

Front

What does mode represent in a dataset?

Back

Mode is the value that appears most frequently in a dataset.

Front

Why is it important to use weighted averages in certain situations?

Back

Weighted averages provide a more accurate representation when different categories contribute unequally to the total.

Front

If a student scores 80 (weight 30%), 90 (weight 50%), and 70 (weight 20%), what is their weighted average?

Back

Weighted Average = (80*0.3 + 90*0.5 + 70*0.2) = 84.

Front

What is the significance of the weights in a weighted average?

Back

Weights determine the influence of each value on the overall average.

Front

How can you identify the mode in a set of numbers?

Back

By counting the frequency of each number and identifying the one that appears most often.

Front

What is the impact of outliers on the mean?

Back

Outliers can significantly skew the mean, making it unrepresentative of the dataset.