A random sample of 25 U.S. residents was selected using census data from the year 2000. The dotplot below shows the distribution of total personal income (in thousands) for the members of the sample. The mean of this distribution is $25,615 and the standard deviation is $25,333. (a) Calculate and interpret the percentile for the individual with a total personal income of $35,000. Show work. (b) Calculate and interpret the z-score for the individual who had a total personal income of $10,000. Show work.

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A random sample of 25 U.S. residents was selected using census data from the year 2000. The dotplot below shows the distribution of total personal income (in thousands) for the members of the sample. The mean of this distribution is $25,615 and the standard deviation is $25,333. (a) Calculate and interpret the percentile for the individual with a total personal income of $35,000. Show work. (b) Calculate and interpret the z-score for the individual who had a total personal income of $10,000. Show work.
Sample of Collection 1
܀܀
20
0
40
60
80
Total personal income (thousands)
100
Dot Plot
120
Transcribed Image Text:Sample of Collection 1 ܀܀ 20 0 40 60 80 Total personal income (thousands) 100 Dot Plot 120
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