Comparing Heights of Two Groups (Median & IQR)
Analyze the height measurements of two distinct groups by examining their medians and IQRs. Compare both the center and the variability within each group.
Questions
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MultiChoice
Boys median height = 160 cm, Girls median height = 155 cm. What is the difference in medians?
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MultiChoice
Team A height IQR = 8 cm, Team B height IQR = 14 cm. Which team has more varied heights in the middle 50%?
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MultiChoice
Grade 7 median height = 152 cm, IQR = 6 cm. Grade 8 median height = 160 cm, IQR = 6 cm. Compare center and spread.
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MultiChoice
Group 1 median height = 145 cm. Group 2 median height = 150 cm. Group 1 IQR = 10 cm, Group 2 IQR = 5 cm. Which has less variation?
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MultiChoice
Basketball team median height = 185 cm, Soccer team median height = 172 cm. How much taller is the basketball median?
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MultiChoice
Group A height Q1=140, Q3=150. Group B height Q1=145, Q3=160. Calculate IQRs.
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MultiChoice
If Group 1 median height is 150 cm and Group 2 median height is 150 cm, what can we say?
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MultiChoice
Group X height IQR = 12 cm, Group Y height IQR = 4 cm. Ratio of Group X IQR to Group Y IQR?
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MultiChoice
Plant height Set 1 median = 25 cm, Set 2 median = 32 cm. Difference in medians?
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MultiChoice
Plant Set 1 IQR = 4 cm, Plant Set 2 IQR = 9 cm. Which set has heights more clustered around the median?
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MultiChoice
Track Team A height median = 165 cm, Team B median = 168 cm. Which team is typically taller?
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MultiChoice
If height data for two groups has identical medians but different IQRs, what differs?