Mr. Smith’s first period class had an average of 90% on the first test, and his 4th period class
had an average of 82%. If there were 30 people in his first class, and 22 in his second, what is the
average score of someone in his class?
To find the average score of someone in Mr. Smith's class, we need to calculate the weighted average of the scores from both classes.
First, let's find the total score for each class:
- In the first period class, there are 30 people, and the average score is 90%. So the total score for the first period class is 30 * 90 = 2700.
- In the fourth period class, there are 22 people, and the average score is 82%. So the total score for the fourth period class is 22 * 82 = 1804.
Next, we need to find the total number of people in both classes:
- The first period class has 30 people.
- The fourth period class has 22 people.
Now, let's calculate the average score of someone in Mr. Smith's class by adding up the total scores from both classes and dividing it by the total number of people in both classes:
Average score = (total score of the first period class + total score of the fourth period class) / (number of people in the first period class + number of people in the fourth period class)
Average score = (2700 + 1804) / (30 + 22)
Average score = 4504 / 52
Average score ≈ 86.615
Therefore, the average score of someone in Mr. Smith's class is approximately 86.615%.
To find the average score of someone in Mr. Smith's class, we need to calculate the overall average of both classes combined.
First, let's find the total score for the first period class:
Total score = Average score * Number of students
Total score = 90% * 30 = 27
Next, let's find the total score for the fourth period class:
Total score = Average score * Number of students
Total score = 82% * 22 = 18.04 (rounded to 2 decimal places)
Now, let's calculate the total combined score of both classes:
Total combined score = Total score of first period class + Total score of fourth period class
Total combined score = 27 + 18.04 = 45.04 (rounded to 2 decimal places)
To find the average score of someone in Mr. Smith's class, divide the total combined score by the total number of students:
Average score of someone in Mr. Smith's class = Total combined score / Total number of students
Average score of someone in Mr. Smith's class = 45.04 / (30 + 22)
Average score of someone in Mr. Smith's class = 45.04 / 52
Average score of someone in Mr. Smith's class ≈ 0.8677 or 86.77% (rounded to 2 decimal places)
Therefore, the average score of someone in Mr. Smith's class is approximately 86.77%.