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Q22 (CISF/2026) Miscellaneous & General Knowledge › Important Days, Places & Events

The marks scored by 10 students in an examination are as follows: 30, 95, 50, 65, 70, x, 45, 75, 60, 40. If the average of the marks is 60, then what is the value of x ?

Result
Your answer: —  Â·  Correct: B

Explanation

To find the value of x, we apply the standard formula for the arithmetic mean (average):

Average = (Sum of all observations) / (Total number of observations)

According to the question:

  • Total number of students (n) = 10
  • Average marks = 60
  • Sum of marks = 30 + 95 + 50 + 65 + 70 + x + 45 + 75 + 60 + 40

Step 1: Calculate the total sum required for an average of 60 across 10 students:
Total Sum = 10 × 60 = 600.

Step 2: Calculate the sum of the nine known values:
30 + 95 + 50 + 65 + 70 + 45 + 75 + 60 + 40 = 530.

Step 3: Solve for x:
530 + x = 600
x = 600 - 530 = 70.

The value of x is 70, which corresponds to option B.

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