weighted mean

Front

What is the formula for calculating the weighted mean?

Back

Weighted Mean = (Σ (weight_i * value_i)) / Σ weight_i, where weight_i is the weight of each value and value_i is the value.

Front

If a student's grades are weighted as follows: class score - 60%, lab score - 25%, final exam score - 15%, how do you calculate the final grade?

Back

Multiply each score by its weight, sum the results, and round to the nearest tenth.

Front

What does it mean if a data distribution is skewed left?

Back

A left-skewed distribution has a longer tail on the left side, indicating that the majority of the data points are concentrated on the right.

Front

What does it mean if a data distribution is skewed right?

Back

A right-skewed distribution has a longer tail on the right side, indicating that the majority of the data points are concentrated on the left.

Front

How do you round a number to the nearest tenth?

Back

Look at the hundredths place; if it is 5 or greater, round up the tenths place by one. If it is less than 5, keep the tenths place the same.

Front

What is the significance of weights in calculating a weighted mean?

Back

Weights determine the relative importance of each value in the dataset when calculating the mean.

Front

In the context of grades, what does a weight of 50% for a project imply?

Back

It means that the project contributes half of the total grade, making it the most significant component in the final grade calculation.

Front

How would you calculate Terrance's final grade given his homework, project, and exam scores with their respective weights?

Back

Final Grade = (Homework Score * 0.10) + (Project Score * 0.50) + (Exam Score * 0.40). Substitute the scores and calculate.

Front

What is the weighted mean of the following values: 5 (weight 1), 10 (weight 2), and 15 (weight 3)?

Back

Weighted Mean = (5*1 + 10*2 + 15*3) / (1 + 2 + 3) = (5 + 20 + 45) / 6 = 70 / 6 = 11.7.

Front

What is the first step in calculating a weighted mean?

Back

Identify the values and their corresponding weights.