Find the mode for the following data : 2.5, 2.3, 2.2, 2.2 I 2.4, 2.71 2.71 2.51 2.31 2.21 2.61 2.2

Answer

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

**Step 1: List the data set.**
The data provided is:
2.5, 2.3, 2.2, 2.2, 2.4, 2.71, 2.71, 2.51, 2.31, 2.21, 2.61, 2.2

**Step 2: Organize the data.**
We can organize the data in ascending order to make it easier to count the frequency of each number:
2.2, 2.2, 2.2, 2.3, 2.4, 2.51, 2.61, 2.71, 2.71, 2.5, 2.31, 2.21

**Step 3: Count the frequency of each number.**
Now, we will count how many times each number appears in the data set:
- 2.2 appears 3 times
- 2.3 appears 1 time
- 2.4 appears 1 time
- 2.51 appears 1 time
- 2.61 appears 1 time
- 2.71 appears 2 times
- 2.5 appears 1 time
- 2.31 appears 1 time
- 2.21 appears 1 time

**Step 4: Identify the mode.**
The mode is the number that appears most frequently in the data set. From our counts:
- 2.2 appears 3 times, which is more than any other number.

**Conclusion:**
The mode of the given data set is **2.2**.

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