QUESTION IMAGE
Question
for an engineering project, each student in mr. mcdonalds science class made measured how far it flung a marshmallow. this box plot shows the results.
marshmallow distance (in.)
- what is the median?
20
- what is the iqr?
- what is the difference in medians?
Step1: Identify median from box plot
The median is the line inside the box of the first box plot, which aligns with 50 on the axis.
Step2: Calculate IQR (Q3 - Q1)
Q3 is the right edge of the box (70), Q1 is the left edge (30).
$\text{IQR} = 70 - 30 = 40$
Step3: Find medians of Team A/B, compute difference
Team A median = 3, Team B median = 7.
$\text{Difference} = 7 - 3 = 4$
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- 50 inches
- 40 inches
- 4 units