Find the mode for the data: `1,1,2,4,3,2,1,2,2,4`

Options

A. `1`
B. `2`
C. `3`
D. `4`

Answer

To find the mode of the given data set: `1, 1, 2, 4, 3, 2, 1, 2, 2, 4`, we will follow these steps:

### Step 1: List the data
We start with the data provided:
- Data: `1, 1, 2, 4, 3, 2, 1, 2, 2, 4`

### Step 2: Count the frequency of each number
Next, we will count how many times each number appears in the data set:
- The number `1` appears **3 times**.
- The number `2` appears **4 times**.
- The number `3` appears **1 time**.
- The number `4` appears **2 times**.

### Step 3: Identify the highest frequency
Now, we look for the number that appears the most frequently:
- The frequencies are:
- `1` appears 3 times
- `2` appears 4 times
- `3` appears 1 time
- `4` appears 2 times

The highest frequency is **4**, which corresponds to the number `2`.

### Step 4: Conclusion
Since `2` appears the most frequently (4 times), the mode of the data set is:
- **Mode = 2**

### Summary
The mode for the given data set `1, 1, 2, 4, 3, 2, 1, 2, 2, 4` is **2**.

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