Multiple choice

Marks scored by a student in different subjects are given in the table below. Subjects Marks obtained out of 100 English 55 Hindi 90 Mathematics 75 Science 80 Foreign language 90 Five marks are to be deducted from each subject due to shortage of attendance. The average of the mean, median and mode of the marks obtained is __________.

  1. 79.33

  2. 77.67

  3. 82.66

  4. 73

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B Correct answer
Explanation

After deducting 5 marks from each, the scores are 50, 85, 70, 75, 85. Mean = 365/5 = 73. Median (sorted: 50, 70, 75, 85, 85) = 75. Mode = 85. Average of mean, median, mode = (73 + 75 + 85) / 3 = 233 / 3 = 77.666...

AI explanation

After deducting 5 marks for attendance, the new marks are 50, 85, 70, 75 and 85. Arranging these gives a median of 75, a mode of 85, and the mean is calculated as 365 divided by 5, which equals 73. The average of the mean, median and mode is found by adding these three values (73, 75 and 85) to get 233, and then dividing by 3. The result is 77.67.