Question

On an English examination, two students received scores of 90, five students received 85, seven students received 75, and one student received 55. The average score on this examination was

1) 75
2) 76
3) 77
4) 79

Answer 1

The average score on the English examination is calculated by the sum of the products of each score and the respective number of students receiving that score, divided by the total number of students. The calculation yields an average of 79.

Step-by-step explanation:

To find the average score on the English examination, we need to multiply each score by the number of students who received it, sum these products, and then divide by the total number of students. Let's calculate it step by step:

• Multiply each score by the number of students who received it: (2 students × 90) + (5 students × 85) + (7 students × 75) + (1 student × 55).
• Calculate the sum of these products: (180) + (425) + (525) + (55) = 1185.
• Divide the sum by the total number of students: 15 students in total.
• Compute the average: 1185 ÷ 15 = 79.

Therefore, the average score on this examination was 79.