The marks obtained by 11 students of a class in a test are given below :
23, 2, 15, 38, 21, 19, 23, 23, 26, 34, 23
Find the mode of given data

Answer

To find the mode of the given data, we will follow these steps:

### Step 1: List the Marks
The marks obtained by the students are:
23, 2, 15, 38, 21, 19, 23, 23, 26, 34, 23

### Step 2: Arrange the Data
We need to arrange the data in ascending order:
- The smallest number is 2.
- Next is 15.
- Then 19.
- Followed by 21.
- Then we have 23 (which appears multiple times).
- After that, we have 26, 34, and finally 38.

So, the arranged data in ascending order is:
2, 15, 19, 21, 23, 23, 23, 23, 26, 34, 38

### Step 3: Count the Frequency of Each Mark
Now, we will count how many times each mark appears:
- 2 appears 1 time
- 15 appears 1 time
- 19 appears 1 time
- 21 appears 1 time
- 23 appears 4 times
- 26 appears 1 time
- 34 appears 1 time
- 38 appears 1 time

### Step 4: Identify the Mode
The mode is the number that appears most frequently in the data set. From our counts:
- The number 23 appears 4 times, which is more than any other number.

### Conclusion
Thus, the mode of the given data is **23**.

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