Question : Marks scored by a student in different subjects are given in the table below
Five marks are to be deducted from each subject due to a shortage of attendance. The net average of the mean, median and mode of the marks obtained is_______.
Option 1: 79.33
Option 2: 77.67
Option 3: 82.66
Option 4: 73
Correct Answer: 77.67
Solution : According to the question, 5 marks are deducted from each subject. ⇒ New marks will be:
⇒ Mean = $\frac{50+85+70+75+85}{5}$ = $\frac{365}{5}$ = $73$ Arranging the data in ascending order: 50, 70, 75, 85, 85 ⇒ Median = middle term = 75 Now, Mode = Most occurred value = 85 So, the net average of Mean, Median, and Mode = $\frac{73+75+85}{3}$ = $\frac{233}{3}$ = 77.67 Hence, the correct answer is 77.67.
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