Which of the following numbers is an outlier in the data set below? 7, 9, 10, 10, 12, 14, 43

Rationale

43 is the outlier in the data set.

In the given data set of 7, 9, 10, 10, 12, 14, and 43, the number 43 stands out significantly due to its much higher value compared to the other numbers, which are clustered closely together. An outlier is defined as a data point that differs markedly from other observations in a dataset.

A (10) YOUR ANSWER

The number 10 appears twice in the dataset and is part of the main cluster of values that are closely grouped. Since it falls within the range of the other numbers (7 to 14), it cannot be considered an outlier.

B (14) YOUR ANSWER

While 14 is the largest number among the lower values in the dataset, it is still within the range of the other numbers (7, 9, 10, 10, 12, 14). It does not exhibit the significant deviation necessary to be classified as an outlier.

C (43) CORRECT

This number is significantly larger than any of the other values in the dataset, which range from 7 to 14. Its substantial difference from the other numbers makes it the only outlier, as it does not fit with the pattern established by the other data points.

D (7) YOUR ANSWER

The number 7 is the smallest value in the dataset, yet it is not far removed from the next smallest number (9). Thus, it does not qualify as an outlier, as it is still within the expected range of the dataset.

Conclusion

In summary, an outlier is a value that markedly deviates from the typical range of a dataset. In this case, 43 is the only outlier due to its significant distance from the other numbers, which cluster closely together between 7 and 14. Recognizing outliers is essential for accurate data analysis, as they can impact statistical calculations and interpretations.

Which of the following numbers is an outlier in the data set below? 7, 9, 10, 10, 12, 14, 43

43 is the outlier in the data set.

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