To determine the Interquartile Range (IQR) of the dataset, we need to first find the first quartile (Q1) and the third quartile (Q3).
The dataset provided is: 0.5, 1.0, 1.0, 1.0, 1.5, 2.0, 2.0, 2.0, 2.5, 3.0, 3.5, 3.5, 3.5, 4.0, 5.0, 6.0, 8.0, 10
There are 18 data points.
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Finding Q1 (the first quartile): Q1 is the median of the first half of the data (the lower 50%). The first half is: 0.5, 1.0, 1.0, 1.0, 1.5, 2.0, 2.0, 2.0 (8 values) The median of this subset is the average of the 4th and 5th values: Q1 = (1.0 + 1.5) / 2 = 1.25
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Finding Q3 (the third quartile): Q3 is the median of the second half of the data (the upper 50%). The second half is: 2.5, 3.0, 3.5, 3.5, 3.5, 4.0, 5.0, 6.0, 8.0, 10 (8 values) The median of this subset is the average of the 4th and 5th values: Q3 = (3.5 + 3.5) / 2 = 3.5
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Calculating the IQR: IQR = Q3 - Q1 = 3.5 - 1.25 = 2.25
Now, let's summarize the results:
- Q1 = 1.25
- Q3 = 3.5
- IQR = 2.25
Thus, the correct response is missing. However, if we consider potential options or if there were values slightly off due to typographical errors:
The correct answer I've calculated is not reflected in the given options; you might double-check the data values or the options provided.
If we proceed with your options and no errors were made in the calculations of the quartiles, we conclude that:
- IQR = 2.25 means that 2.25 hours is the range of the number of hours spent on the project for the middle 50% of the students.
Since 2.25 is not listed, please verify the figures given.