(Reconstruction Attacks.) Suppose the U.S. Census Bureau releases the tabulations of various summary statistics, which is shown in Table 1. Certain cells in the table are suppressed, which we indicate with the * symbol. Suppose we unsuppress Statistic 3A, and it shows that the dataset contains two Black males, whose mean age is 26. Is this enough information to uniquely determine the ages of all three males, or are there multiple choices of their ages that are consistent with the tabulated statistics? What about the mean age being 36? Statistic 1A 2A 2B 3A 3B 3C 3D Table 1: Tabulations for Block 1402 Age Group Total Female Male BlackMale BlackFemale WhiteFemale WhiteMale Count 6 3 3 * * 3 * Median 26 9 30 * * 9 * Mean 25 16 34 * 16 *

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(Reconstruction Attacks.) Suppose the U.S. Census Bureau releases the tabulations of various
summary statistics, which is shown in Table 1. Certain cells in the table are suppressed, which we
indicate with the * symbol.
Suppose we unsuppress Statistic 3A, and it shows that the dataset contains two Black males, whose
mean age is 26. Is this enough information to uniquely determine the ages of all three males, or are
there multiple choices of their ages that are consistent with the tabulated statistics? What about the
mean age being 36?
Statistic
1A
2A
2B
3A
3B
3C
3D
Table 1: Tabulations for Block 1402
Age
Group
Total
Female
Male
BlackMale
BlackFemale
WhiteFemale
WhiteMale
Count Median
6
26
3
9
3
30
*
*
3
*
*
*
9
*
Mean
4 * * *
25
16
34
16
Transcribed Image Text:(Reconstruction Attacks.) Suppose the U.S. Census Bureau releases the tabulations of various summary statistics, which is shown in Table 1. Certain cells in the table are suppressed, which we indicate with the * symbol. Suppose we unsuppress Statistic 3A, and it shows that the dataset contains two Black males, whose mean age is 26. Is this enough information to uniquely determine the ages of all three males, or are there multiple choices of their ages that are consistent with the tabulated statistics? What about the mean age being 36? Statistic 1A 2A 2B 3A 3B 3C 3D Table 1: Tabulations for Block 1402 Age Group Total Female Male BlackMale BlackFemale WhiteFemale WhiteMale Count Median 6 26 3 9 3 30 * * 3 * * * 9 * Mean 4 * * * 25 16 34 16
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