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UPSC Prelims

Mathematics

Theme:

Average / औसत

Q40 2019, Average

The average marks of 100 students are given to be 40. It was found later that marks of one student were 53 which were misread as 83. The corrected mean marks are

दिया गया है कि 100 विद्यार्थियों का औसत अंक 40 है। बाद में यह पाया गया कि एक विद्यार्थी का अंक 53 था जिसे भूल से 83 पढ़ा गया। संशोधित औसत अंक कितना है ?

Explanation Please wait..

• Given, average marks of 100 students = 40.

• So, total marks of 100 students = 40 × 100 = 4000.

• But in this total the error is 83 – 53 = 30, more than the actual total.

• So, Actual total = 4000 – 30 = 3970.

• So the correct Mean = 3970/100 = 39.70.

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