The marks (out of 100) obtained by a group of students in Mathematics test are :
88, 74, 90, 88, 40, 46, 58, 96, 82, and 78. Find :
mode of the marks obtained

Answer

To find the mode of the marks obtained by the group of students, we will follow these steps:

### Step 1: List the Marks
The marks obtained by the students are:
88, 74, 90, 88, 40, 46, 58, 96, 82, and 78.

### Step 2: Arrange the Marks in Ascending Order
We will arrange the marks in ascending order:
- The smallest mark is 40.
- Next is 46.
- Then 58.
- Followed by 74.
- Then 78.
- Next is 82.
- Then we have 88 (which appears twice).
- Next is 90.
- Finally, 96.

So, the arranged marks in ascending order are:
40, 46, 58, 74, 78, 82, 88, 88, 90, 96.

### Step 3: Count the Frequency of Each Mark
Now, we will count how many times each mark appears:
- 40: 1 time
- 46: 1 time
- 58: 1 time
- 74: 1 time
- 78: 1 time
- 82: 1 time
- 88: 2 times
- 90: 1 time
- 96: 1 time

### Step 4: Identify the Mode
The mode is the number that appears most frequently in the data set. From our frequency count:
- The mark 88 appears 2 times, which is more than any other mark.

### Conclusion
Thus, the mode of the marks obtained is **88**.

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