Calculate the mode of the following data : 17, 10, 12, 11, 10, 15, 11,14, 11, 12, 13, 11

Options

A. 14
B. 15
C. 10
D. 11

Answer

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

### Step 1: List the Data
The data provided is:
17, 10, 12, 11, 10, 15, 11, 14, 11, 12, 13, 11

### Step 2: Count the Frequency of Each Number
We will count how many times each number appears in the data set.

- 10 appears **2 times**
- 11 appears **4 times**
- 12 appears **2 times**
- 13 appears **1 time**
- 14 appears **1 time**
- 15 appears **1 time**
- 17 appears **1 time**

### Step 3: Identify the Most Frequent Number
Now, we will identify which number has the highest frequency.

- The frequency counts are:
- 10: 2
- 11: 4
- 12: 2
- 13: 1
- 14: 1
- 15: 1
- 17: 1

From the counts, we see that **11** appears the most frequently, which is **4 times**.

### Step 4: State the Mode
Since 11 is the number that appears most frequently in the data set, we conclude that the mode is:

**Mode = 11**

### Summary of Steps
1. List the data.
2. Count the frequency of each number.
3. Identify the number with the highest frequency.
4. State the mode.

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