A class of 25 students took an English test. 15 students had an average score of 80. The other students had an average score of 60. What is the average score of the whole class?

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SSC CHSL Exam 2024 Tier-I Official Paper (Held On: 03 Jul, 2024 Shift 4)
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  1. 72
  2. 74
  3. 76
  4. 80

Answer (Detailed Solution Below)

Option 1 : 72
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SSC CHSL Exam 2023 Tier-I Official Paper (Held On: 02 Aug 2023 Shift 1)
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Detailed Solution

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Given:

Number of students with an average score of 80 = 15

Average score of these 15 students = 80

Number of students with an average score of 60 = 25 - 15 = 10

Average score of these 10 students = 60

Formula Used:

Average score of the whole class = Total score of all students / Total number of students

Calculation:

Total score of 15 students = 15 × 80

⇒ Total score of 15 students = 1200

Total score of 10 students = 10 × 60

⇒ Total score of 10 students = 600

Total score of the whole class = 1200 + 600

⇒ Total score of the whole class = 1800

Total number of students = 25

Average score of the whole class = 1800 / 25

⇒ Average score of the whole class = 72

The average score of the whole class is 72.

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