Mode of the data 51, 14, 71, 15, 91, 2, 51, 19, 41, 51, 18, 15, 51 is

Options

A. 51
B. 15
C. 16
D. 17

Answer

To find the mode of the given data set: 51, 14, 71, 15, 91, 2, 51, 19, 41, 51, 18, 15, 51, we will follow these steps:

### Step-by-Step Solution:

1. **List the Data**: Write down the data set clearly.
- Data: 51, 14, 71, 15, 91, 2, 51, 19, 41, 51, 18, 15, 51

2. **Count the Frequency of Each Number**: We need to count how many times each number appears in the data set.
- 2 appears 1 time
- 14 appears 1 time
- 15 appears 2 times
- 18 appears 1 time
- 19 appears 1 time
- 41 appears 1 time
- 51 appears 4 times
- 71 appears 1 time
- 91 appears 1 time

3. **Identify the Highest Frequency**: From the frequency count, we can see which number appears the most.
- The frequencies are:
- 2: 1
- 14: 1
- 15: 2
- 18: 1
- 19: 1
- 41: 1
- 51: 4
- 71: 1
- 91: 1
- The highest frequency is 4, which corresponds to the number 51.

4. **Determine the Mode**: The mode is the number that appears most frequently in the data set.
- Since 51 appears 4 times, it is the mode.

### Final Answer:
The mode of the data set is **51**.

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