Final answer:
The mode of the given data is the interval 25-40, which has the highest frequency, with 50 students falling within that range.
Step-by-step explanation:
The mode is the value that appears most frequently in a data set. To find the mode of the given student marks, we look for the interval with the highest frequency (number of students). Here, the intervals are marks ranges, and the frequencies are the counts of students who achieved scores within those ranges.
Based on the data provided, the following intervals and student counts are given:
-
- 10-25: 6 students
-
- 25-40: 50 students
-
- 40-55: 44 students
-
- 55-70: 26 students
-
- 70-85: 3 students
-
- 85-100: 1 student
To determine the mode, we identify the interval with the greatest number of students. In this case, the interval 25-40 has the highest frequency with 50 students, making it the modal interval. Therefore, the mode of this distribution is within the 25-40 range.