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Question
lesson 11 practice problems
1 in science class, clare and lin estimate the mass of eight different objects that 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 reason
Step1: Understand the meaning of MAD
MAD (Mean - Absolute - Deviation) measures the average distance between each data point and the mean. A lower MAD indicates that the data points are closer to the mean.
Step2: Compare MAD values
Clare's MAD is 275 grams and Lin's MAD is 225 grams. Since 225 < 275, Lin's estimates are, on average, closer to the mean.
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Lin was better at estimating the mass of the objects because Lin has a lower MAD (225 grams) compared to Clare's MAD (275 grams), which means Lin's estimates are, on average, closer to the mean value.