To find the interquartile range (IQR) of the data set, we first need to find the first quartile (Q1) and the third quartile (Q3).
Q1: The median of the lower half of the data set. In this case, the lower half of the data set is 1.0, 1.0, 1.0, 1.5, 2.0, 2.0, 2.0, and 2.5. The median of this lower half is 1.75, so Q1 = 1.75.
Q3: The median of the upper half of the data set. In this case, the upper half of the data set is 3.0, 3.5, 3.5, 3.5, 4.0, 4.0, 5.0, 6.0, 8.0, and 10. The median of this upper half is 4.5, so Q3 = 4.5.
Now, we can calculate the IQR:
IQR = Q3 - Q1
IQR = 4.5 - 1.75
IQR = 2.75
The IQR of the data set is 2.75. This means that the middle 50% of the data is spread out over a range of 2.75 hours. It shows the variability in the amount of time students spend on their project, with some students spending less time and some students spending more time.
Mariah survey the students in his class on how many hours they spend on their project here is the results 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 4.0 6.0 8.0 and 10 which of the following is the IQR of the data set explains what the value means for this data set
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