In a 100-marks test, the average of marks scored by 50 students
In a 100-marks test, the average of marks scored by 50 students was found to be 65. Later on, it was discovered that a score of 88 was misread as 68. Find the correct average.
100 अंकों की एक परीक्षा में 50 विद्यार्थियों द्वारा प्राप्त अंकों का औसत 65 पाया गया। बाद में यह ज्ञात होता हैं कि 88 के प्राप्ताकं को गलती से 68 पढ़ लिया गया था। सही औसत ज्ञात कीजिए ?
Detailed Solution & Logic
65.40
Given average = 65
Number of students = 50
Total marks (wrong) = $ 65 \times 50 = 3250 $
Wrong entry= 68, Correct entry = 88
Difference = 88 - 68 = 20
Correct total marks = 3250 + 20 = 3270
Correct average = $ \frac{3270}{50} = 65.4 $
Answer = 65.4
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