Finding a Weighted Mean In Exercises 41– 46, ...

Question

Finding a Weighted Mean In Exercises 41– 46, find the weighted mean of the data.

Grades A student receives the grades shown below, with an A worth 4 points, a B worth 3 points, a C worth 2 points, and a D worth 1 point. What is the student’s grade point average?

Table showing a student's grades and class credits: A in 1 four-credit class, B in 2 three-credit classes, C in 1 three-credit class, D in 1 two-credit class.

Accepted Answer

Welcome back, everyone. A chef prepares several dishes for a food competition where each dish is rated using a point system. A score of 5 indicates excellent, 4 indicates very good, 3 indicates good, 2 indicates average, and 1 indicates 4. Calculate the chef's average rating based on the following scores. Excellent in one dish, very good in two dishes, good in one dish and average in one dish. A says 4.8, B 3.8, C 3.6, and D 4.6. So essentially what we're going to do is introduce a table to simplify the data, right? We can state that we're considering a score, which is our X, our variable, right, and we are also given frequencies F. So, first of all, we have a score of excellent, right? That's 5, and our frequency is 1. Then we have very good. We know that 4 indicates very good, so our score of 4 has a frequency of 2. Followed by a good, a square of 3 in one dish. So once again our frequency is 1, and finally we have average a square of 2 in one dish. So frequency is 1, and then of course we can include 4, that's a square of 1, and we're not given any frequency, right? So essentially our frequency is 0. So now what we're going to do is identify the average as the sum of frequencies multiplied by their corresponding scores, and we're going to divide by the total frequency. This is the formula that we want to use. So now how do we proceed? Well, we are going to begin with our first score 5, multiplied by 1, we're going to add 4 multiplied by 2. Plus 3 multiplied by 1 + 2 multiplied by 1 plus 1 multiplied by 0 and we have to divide this sum by the sum of frequencies 1 + 2 + 1 + 1 + 0. Now we can perform the calculations, 18 divided by 5. Gives us 3.6, which corresponds to the answer to C. Thank you for watching.

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Finding a Weighted Mean In Exercises 41– 46, find the weighted mean of the data.

Grades A student receives the grades shown below, with an A worth 4 points, a B worth 3 points, a C worth 2 points, and a D worth 1 point. What is the student’s grade point average?

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Finding a Weighted Mean In Exercises 41– 46, find the weighted mean of the data.Grades A student receives the grades shown below, with an A worth 4 points, a B worth 3 points, a C worth 2 points, and a D worth 1 point. What is the student’s grade point average?

Watch next

��app

Finding a Weighted Mean In Exercises 41– 46, find the weighted mean of the data.

Grades A student receives the grades shown below, with an A worth 4 points, a B worth 3 points, a C worth 2 points, and a D worth 1 point. What is the student’s grade point average?