Find the mode of the data 2,4,6,7,6,7 and 8 .

Options

A. 4
B. 6
C. 7
D. 8

Answer

To find the mode of the given data set: 2, 4, 6, 7, 6, 7, and 8, we will follow these steps:

### Step 1: List the data
We start with the data set:
\[ 2, 4, 6, 7, 6, 7, 8 \]

### Step 2: Count the frequency of each number
Now we will count how many times each number appears in the data set:

- **2** appears **1** time
- **4** appears **1** time
- **6** appears **2** times
- **7** appears **2** times
- **8** appears **1** time

### Step 3: Identify the highest frequency
Next, we identify the highest frequency from our counts:

- The highest frequency is **2**, which corresponds to the numbers **6** and **7**.

### Step 4: Determine the mode
Since both **6** and **7** appear most frequently (2 times each), we have two modes in this data set.

Thus, the modes are:
\[ \text{Mode} = 6 \text{ and } 7 \]

### Final Answer:
The modes of the data set are **6 and 7**.

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