The average score of 5 students in a Mathematics test was 74. Four of the students scored 70, 78, 82 and 68 marks respectively. What was the score of the fifth student?
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Worked Solution
Step 1: Use the relationship Total = Average × Number of data items. Total marks for all 5 students = 74 × 5 = 370.
Step 2: Find the sum of the four known scores: 70 + 78 + 82 + 68 = 298.
Step 3: Subtract to isolate the fifth student score: 370 − 298 = 72.
Final answer: The fifth student scored 72 marks.
Answer: 72
Correct answer: 72
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