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State 1985 1996 2002 1 70.4 71.0 73.5 2 61.2 62.9 67.3 3 64.7 62.0 65.9 4 66.6 6

ID: 3298497 • Letter: S

Question

State 1985 1996 2002 1 70.4 71.0 73.5 2 61.2 62.9 67.3 3 64.7 62.0 65.9 4 66.6 66.6 70.2 5 54.2 55.0 58.0 6 63.6 64.5 69.1 7 69.0 69.0 71.6 8 70.3 71.5 75.6 9 37.4 40.4 44.1 10 67.2 67.1 68.7 11 62.7 69.3 71.7 12 51.0 50.6 57.4 13 71.0 71.4 73.0 14 60.6 68.2 70.2 15 67.6 74.2 75.0 16 69.9 72.8 73.9 17 68.3 67.5 70.2 18 68.5 73.2 73.5 19 70.2 64.9 67.1 20 73.7 76.5 73.9 21 65.6 66.9 72.0 22 60.5 61.7 62.7 23 70.7 73.3 76.0 24 70.0 75.4 77.3 25 69.6 73.0 74.8 26 69.2 70.2 74.6 27 66.5 68.6 69.3 28 68.5 66.8 68.4 29 57.0 61.1 65.5 30 65.5 65.0 69.5 31 62.3 64.6 67.2 32 68.2 67.1 70.3 33 50.3 52.7 55.0 34 68.0 70.4 70.0 35 69.9 68.2 69.5 36 67.9 69.2 72.0 37 70.5 68.4 69.4 38 61.5 63.1 66.2 39 71.6 71.7 74.0 40 61.4 56.6 59.6 41 72.0 72.9 77.3 42 67.6 67.8 71.5 43 67.6 68.8 70.1 44 60.5 61.8 63.8 45 71.5 72.7 72.7 46 69.5 70.3 70.2 47 68.5 68.5 74.3 48 66.8 63.1 67.0 49 75.9 74.3 77.0 50 63.8 68.2 72.0 51 73.2 68.0 72.8 36] Boxplot for 1985 boxplot for 1996 76 74 70 54 54 boxplot for 2002 74

Explanation / Answer

a. The median homeownership rate for year 1985 and 1996 are same, i.e 68 but it rose to 70 in year 2002.

b. Over the years, the variation in these rates decreases slightly. The range for 1985 and 1996 is 22, which decreases to 19 in 2002. The dispersion of data from central tendency also decreases subsequently.

c. Yes, In year 1985 - 37, 50 and 51 are extremely low homeownership rates as these are lower than Q1-(1.5XIQR).

In year 1996 - 50 and 40 are extremely low homeownership rates as these are lower than Q1-(1.5XIQR).

  In year 2002 - 55 and 44 are extremely low homeownership rates as these are lower than Q1-(1.5XIQR).

d. No, there is no states that have extremely high homeownership rates.

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