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 net average of the mean, median and mode of the marks obtained is ________.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 77.67.
Given that
Five marks are to be deducted from each subject due to shortage of attendance
Now the remaining marks
| Subjects | Marks obtained out of 100 |
| English | 50 |
| Hindi | 85 |
| Mathematics | 70 |
| Science | 75 |
| Foreign language | 85 |
First of all, we arranged all five subject marks in ascending order
Marks = 50, 70, 75, 85, 85
Calculation
Mode = Most repeated value = 85
Median = middle value of odd numbers = 75
Mean = Sum of all values/Total number of values = (50 + 70 + 75 + 85 + 85)/5 = 365/5 = 73
Hence, The required average = (mode + median + mean)/3 = (85 + 75 + 73)/3 = 233/3 = 77.67