The mode of 3,3,7,4,5,3,5,6,8,9,5,3,5,3,6,9,7 ,4 is

Options

A. 4
B. 7
C. 3
D. 5

Answer

To find the mode of the given series of numbers: 3, 3, 7, 4, 5, 3, 5, 6, 8, 9, 5, 3, 5, 3, 6, 9, 7, 4, we will follow these steps:

### Step 1: List the numbers and their frequencies
We will count how many times each number appears in the series.

- **3**: Count occurrences → 3 appears 5 times
- **4**: Count occurrences → 4 appears 2 times
- **5**: Count occurrences → 5 appears 4 times
- **6**: Count occurrences → 6 appears 2 times
- **7**: Count occurrences → 7 appears 2 times
- **8**: Count occurrences → 8 appears 1 time
- **9**: Count occurrences → 9 appears 2 times

### Step 2: Create a frequency table
Now, we can summarize the frequencies in a table:

| Number | Frequency |
|--------|-----------|
| 3 | 5 |
| 4 | 2 |
| 5 | 4 |
| 6 | 2 |
| 7 | 2 |
| 8 | 1 |
| 9 | 2 |

### Step 3: Identify the maximum frequency
From the frequency table, we can see that:
- The maximum frequency is **5**, which corresponds to the number **3**.

### Step 4: Determine the mode
The mode is the number that appears most frequently in the data set. Since **3** has the highest frequency of **5**, we conclude that:

**Mode = 3**

### Final Answer
The mode of the given series is **3**.

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