Multiple choice

A group of students appeared for a test that had three sections: Math, English, and Science. The maximum score for each section was 100. The following table shows the scores obtained by the students in each section: Student Math English Science A 85 90 80 B 70 80 95 C 90 75 85 D 80 85 90 E 75 95 70 Determine the number of students who scored above or equal to the average in all three sections.

  1. 0

  2. 1

  3. 2

  4. 3

  5. a
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Averages: Math = (85+70+90+80+75)/5 = 80. English = (90+80+75+85+95)/5 = 85. Science = (80+95+85+90+70)/5 = 84. Check students: A(85>=80, 90>=85, 80<84) No. B(70<80, 80<85, 95>=84) No. C(90>=80, 75<85, 85>=84) No. D(80>=80, 85>=85, 90>=84) Yes. E(75<80, 95>=85, 70<84) No. Only student D qualifies.

AI explanation

Using the arithmetic mean formula, the average score for Math is calculated as (85 + 70 + 90 + 80 + 75) divided by 5, which equals 80. The average score for English is (90 + 80 + 75 + 85 + 95) divided by 5, which equals 85. The average score for Science is (80 + 95 + 85 + 90 + 70) divided by 5, which equals 84. We must find the number of students who scored greater than or equal to 80 in Math, 85 in English, and 84 in Science. Evaluating the table, only Student D achieved scores of 80, 85, and 90, meeting all three conditions. Therefore, exactly 1 student scored above or equal to the average in all three sections.

Keep practicing — related questions