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Using the given dataset: 76, 79, 97, 109, 113, 114, 114, 117, 117, 135, 141, 152, 169, 294

Determine if there are any outliers. Why or why not? (4 points)

Answer :

Final answer:

To determine if there are any outliers in the given dataset, we can use the Interquartile Range (IQR) method. Therefore, there are no outliers in the given dataset.

Explanation:

In order to determine if there are any outliers in the given dataset, we can use the Interquartile Range (IQR) method. The IQR is the range between the upper quartile (Q3) and the lower quartile (Q1). Any values that lie outside of the range Q1 - 1.5 * IQR to Q3 + 1.5 * IQR are considered outliers.

Let's calculate the IQR for the given dataset:

  1. Sort the dataset in ascending order: 76, 79, 97, 109, 113, 114, 114, 117, 117, 135, 141, 152, 169, 294
  2. Find Q1 and Q3. Since the dataset has an even number of values, Q1 is the average of the two middle values (97 and 109) and Q3 is the average of the two middle values (141 and 152).
  3. Calculate the IQR: IQR = Q3 - Q1
  4. Identify any values that fall outside of the range Q1 - 1.5 * IQR to Q3 + 1.5 * IQR. In this case, there are no values that fall outside of this range.

Therefore, there are no outliers in the given dataset.

However, it's worth noting that the IQR method may not be suitable for datasets that are not mound shaped and symmetric.

Learn more about Identifying outliers here:

https://brainly.com/question/33781116

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