What is the mode of this dataset 3, 5, 7, 7, 10?

Rationale

The mode of this dataset is 7.

In this dataset, the mode is the number that appears most frequently. The number 7 occurs twice, while all other numbers occur only once, making it the most common value.

A (The mode is 10.) YOUR ANSWER

The number 10 appears only once in the dataset, which does not qualify it as the mode. Since the mode is defined as the value that occurs most frequently, 10 cannot be correct.

B (The mode is 5.) YOUR ANSWER

Similarly, the number 5 also appears only once in the dataset. Since there is no repetition of 5, it cannot be the mode, which requires a value to have the highest frequency.

C (The mode is 3.) YOUR ANSWER

The number 3 occurs just once in the dataset, making it an unlikely candidate for the mode. To be considered a mode, a number must have a higher occurrence than others, and 3 does not meet this criterion.

D (The mode is 7.) CORRECT

The number 7 appears twice in the dataset, while all other numbers appear only once. This makes 7 the most frequently occurring value, confirming it as the mode.

Conclusion

In statistics, the mode is defined as the value that appears most frequently in a dataset. In this case, the number 7 is the only value that appears more than once, establishing it as the mode. Understanding the mode is essential for analyzing frequency patterns in data, making it a fundamental concept in statistics.

What is the mode of this dataset 3, 5, 7, 7, 10?

The mode of this dataset is 7.

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