Which measure of variability—range or IQR—best describes the spread of the dataset? For a statistics assignment, Shayna randomly surveyed students on how many hours per week they spend playing online games: 1.0 1.0 2.0 6.5 10.0 10.0 10.0 10.0 12.0 12.5 14.0 14.0 14.0 14.0 15.0 15.0 15.5 16.0 17.5 18.0 (1 point) Responses Range; the distribution is symmetrical, or close to it, and there aren’t any outliers in the dataset. Range; the distribution is symmetrical, or close to it, and there aren’t any outliers in the dataset. IQR; the distribution is skewed, and there are outliers in the dataset. IQR; the distribution is skewed, and there are outliers in the dataset. Range; the distribution is skewed, and there are outliers in the dataset. Range; the distribution is skewed, and there are outliers in the dataset. IQR; the distribution is symmetrical, or close to it, and there aren’t any outliers in the dataset. IQR; the distribution is symmetrical, or close to it, and there aren’t any outliers in the dataset.

Question

Which measure of variability—range or IQR—best describes the spread of the dataset? For a statistics assignment, Shayna randomly surveyed students on how many hours per week they spend playing online games: 1.0 1.0 2.0 6.5 10.0 10.0 10.0 10.0 12.0 12.5 14.0 14.0 14.0 14.0 15.0 15.0 15.5 16.0 17.5 18.0 (1 point) Responses Range; the distribution is symmetrical, or close to it, and there aren’t any outliers in the dataset. Range; the distribution is symmetrical, or close to it, and there aren’t any outliers in the dataset. IQR; the distribution is skewed, and there are outliers in the dataset. IQR; the distribution is skewed, and there are outliers in the dataset. Range; the distribution is skewed, and there are outliers in the dataset. Range; the distribution is skewed, and there are outliers in the dataset. IQR; the distribution is symmetrical, or close to it, and there aren’t any outliers in the dataset. IQR; the distribution is symmetrical, or close to it, and there aren’t any outliers in the dataset.

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Answer 1

Bot GPT 3.5 answered
1 month ago

Range; the distribution is skewed, and there are outliers in the dataset.

The range, which is the difference between the highest and lowest values in the dataset, is better suited to describe the spread in this case because the distribution is skewed (with most responses clustered around a certain range) and there are outliers present (such as the 18.0 value). The IQR, which is the range of the middle 50% of the data, may not capture the full extent of the spread in this scenario.