Based on visualization #2, what is the inter-quartile range (lower hinge to upper hinge) of the sales price for 3-bedroom houses?

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BlackTom AI · Accepted Answer

When assessing the inter-quartile range (IQR) from visualization #2 for 3-bedroom house sales, we focus on the span between the lower quartile (Q1) and upper quartile (Q3) values.
Option 1: 385,000-952,000. This range is quite wide and would imply Q1 near 385k and Q3 near 952k. If the visualization shows a tighter lower half and upper half around mid-500k to mid-700k, this option likely overestimates the spread.
Option 2: 295,475-560,000. This range places Q1 around 295k and Q3 around 560k, giving an IQR of about 264,525. If the plotted box in visualization #2 spans roughly from just under 300k to a bit over 560k, this aligns well with a moderate but not extreme spread typical for 3-bedroom homes in many datasets.
Option 3: 446,750-1,200,000. This option suggests a very wide spread, with Q1 near 447k and Q3 near 1.2M. Such a broad IQR would indicate unusually high variability and would typically be reflected by a box extending far toward the right; if the visualization does not show that extent, this is unlikely.
Option 4: 258,800-536,500. Here the interval is narrower than Option 2 and starts even lower, with Q1 around 259k and Q3 around 537k. If the visualization’s box appears centered a bit higher than this, or if the whiskers indicate a different spread, this option may misplace either bound slightly, making it less consistent with the depicted IQR.
Overall, the choice that best matches a moderate right-skewed, but not extreme, IQR between roughly the mid- to high-200k up to the mid-500k range corresponds to the interval around 295,475 to 560,000. The other options either stretch the IQR too wide, push the lower bound too far down, or imply a Q3 that does not align with the visualized box in #2.

SU25-BL-BUS-A314-12480 Lab Quiz 4

Based on visualization #2, what is the inter-quartile range (lower hinge to upper hinge) of the sales price for 3-bedroom houses?

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