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

Rationale

43 is an outlier in the data set.

In the provided data set (7, 9, 10, 10, 12, 14, 43), the number 43 significantly deviates from the other values, which cluster closely together. An outlier is defined as a number that is much larger or smaller than the majority of the data points, and in this case, 43 is distinctly larger than the highest value of 14.

A (43) CORRECT

As noted, 43 is much larger than the other numbers in the set, which range from 7 to 14. This substantial difference makes it an outlier, as it does not fit the general trend of the data. Its presence skews the mean and does not reflect the central tendency of the other numbers.

B (10) YOUR ANSWER

The number 10 appears twice in the data set and is close to the other values. It falls within the range of the other numbers, making it consistent with the overall data distribution. Thus, it cannot be classified as an outlier.

C (14) YOUR ANSWER

Similarly, 14 is part of the main cluster of data points. It is the highest value within the more closely grouped numbers and does not stand out as an extreme value, so it does not qualify as an outlier.

D (7) YOUR ANSWER

While 7 is the lowest number in the data set, it is not sufficiently distant from the other values to be considered an outlier. The numbers 7, 9, and 10 are relatively close together, indicating that 7 is part of the overall data trend.

Conclusion

In summary, outliers in a data set are values that are significantly different from the rest. In this case, 43 is an outlier because it is far removed from the other numbers, which range from 7 to 14. The other choices—10, 14, and 7—do not exhibit this level of deviation and thus cannot be classified as outliers. Recognizing outliers is essential for accurate data analysis, as they can heavily influence statistical measures.

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

43 is an outlier in the data set.

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