Marks obtained by 100 students in an examination are given in the table: Sr. No. Marks obtained No. of students 1 25 20 2 30 20 3 35 40 4 40 20 What would be mean, median and mode of marks obtained by the students? A. Mean 33; Median 35; Mode 40 B. Mean 35; Median 32; Mode 40 C. Mean 33; Median 35; Mode 35 D. Mean 35; Median 32; Mode 35

Mean 33; Median 35; Mode 40
Mean 35; Median 32; Mode 40
Mean 33; Median 35; Mode 35
Mean 35; Median 32; Mode 35

The correct answer is: C. Mean 33; Median 35; Mode 35.

The mean is the average of the values in a set. To calculate the mean, add up all the values and then divide by the number of values. In this case, the mean is $33 = \frac{(20 \times 25) + (20 \times 30) + (40 \times 40)}{100}$.

The median is the middle value in a sorted set. To calculate the median, first order the values from least to greatest. In this case, the sorted values are $25, 25, 30, 30, 35, 35, 35, 40, 40, 40$. The median is the middle value, which is $35$.

The mode is the most frequent value in a set. To calculate the mode, count how many times each value appears in the set. In this case, the value $35$ appears 4 times, so the mode is $35$.

Therefore, the mean, median, and mode of marks obtained by the students are 33, 35, and 35, respectively.