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

explain your answer
6thgrade math
one paragraghe

Answer 1

[AI-generated answer — Bot GPT 3.5]

In this case, the Interquartile Range (IQR) would be a better measure of variability to describe the spread of the dataset. The IQR specifically looks at the middle 50% of the data, making it less sensitive to outliers compared to the range. In this dataset, there are several repeated values (such as 10.0, 14.0, and 15.0), which can skew the range calculation and make it less accurate in representing the spread of the data. On the other hand, the IQR focuses on the range of values in the middle of the dataset, providing a more accurate picture of the variability in this case.