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Question
question 1 (1 point)
in science class, clare and lin estimate the mass of eight different objects that actually weigh 2,000 grams each.
some summary statistics:
clare
- mean: 2,000 grams
- mad: 275 grams
- median: 2,000 grams
- iqr: 500 grams
lin
- mean: 2,000 grams
- mad: 225 grams
- median: 1,950 grams
- iqr: 350 grams
which student was better at estimating the mass of the objects? explain your reasoning.
______ (lin, clare) was better at estimating than ____ (lin, clare) because both students had measures of center very close to 2,000 grams, but ____ (lins, clares) responses were ______ (less, more) variable as determined by both the mad and the iqr.
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Step1: Understand the measures
Measures of center (mean, median) are close for both. MAD (Mean - Absolute - Deviation) and IQR (Inter - Quartile Range) measure variability. Lower values mean less variability.
Step2: Compare MAD and IQR
Clare's MAD is 275 grams and IQR is 500 grams. Lin's MAD is 225 grams and IQR is 350 grams. Lin has lower MAD and IQR.
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