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M1-050-A02-V04
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S-ID.1
Warmup
M1-050-A02-V04
Represent one-variable data with dot plots, histograms, and box plots.
Interpret a dot plot from value counts
Problem
Analyze the dot plot with counts \({4:1,9:2,10:3,11:2}\) using the median-of-halves quartile convention and the \(1.5\times~IQR\) rule. Determine \(n\), median, mode, range, quartiles, \(IQR\), fences, outliers, and a distribution summary.
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A
n=8; median=10; mode=10; range=7; Q1=9, Q3=10.5, IQR=1.5, fences=[6.75,12.75]; outliers=none; summary=symmetric around 10 because the counts at 9 and 11 match
B
n=8; median=10; mode=10; range=7; Q1=9, Q3=10.5, IQR=1.5, fences=[6.75,12.75]; outliers=none; summary=4 is treated as typical because it lies within the total range
C
n=8; median=10; mode=10; range=7; Q1=9, Q3=10.5, IQR=1.5, fences=[6.75,12.75]; outliers=4; summary=most values cluster at 9–11 with one low outlier at 4
D
n=8; median=10; mode=10; range=7; Q1=9, Q3=10.5, IQR=1.5, fences=[6.75,12.75]; outliers=none; summary=uniform across 4–11
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Curriculum context
Standard S-ID.1
Category Statistics and Probability
Domain Interpreting Categorical and Quantitative Data
Objective Represent one-variable data with dot plots, histograms, and box plots.
Problem type Interpret a dot plot from value counts