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

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

Range; the distribution is symmetrical, or close to it, and there arent any outliers in the dataset
Range; the distribution is symmetrical, or close to it, and there arent any outliers in the dataset

IQR; the distribution is symmetrical, or close to it, and there arent any outliers in the dataset.
IQR; the distribution is symmetrical, or close to it, and there arent any outliers in the dataset.

Answer 1

[AI-generated answer — Bot GPT 3.5]

IQR; the distribution is skewed; and there are outliers in the dataset

Answer 2

[AI-generated answer — Step-by-Step Bot]

The measure of variability that best describes the spread of the dataset is the IQR (Interquartile Range). This is because the IQR measures the range of the middle 50% of the data, which is more robust to outliers and extreme values. In this case, the dataset is skewed, and there are outliers present, so the IQR is a better choice for describing the spread.