What is the correct interpretation of Jackson’s z-score?

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What is the correct interpretation of Jackson’s z-score?
How many pairs of shoes does a typical teenage boy own? To find out, two AP® Statistics students surveyed a random
sample of 20 male students from their large high school. Then they recorded the number of pairs of shoes that each boy
owned. Given is a dotplot of the data. Jackson, who reported owning 22 pairs of shoes, has a standardized score of z =
1.10.
What is the correct interpretation of Jackson's z-score?
5
10
15
20
25
30
35
40
Number of pairs of shoes
O His value is 1.10 standard deviations above the mean.
O Jackson owns 1.10 more pairs of shoes than average.
O The number of pairs of shoes owned by Jackson is
1.10 standard deviations above the mean number of
pairs of shoes owned by the boys in the sample.
O To calculate this value, take Jackson's number of pairs
of shoes, subtract the class average, and then divide by
the standard deviation.
O Jackson's pairs of shoes outnumbered his classmates
by a factor of 1.10.
prt sc
GH
Transcribed Image Text:How many pairs of shoes does a typical teenage boy own? To find out, two AP® Statistics students surveyed a random sample of 20 male students from their large high school. Then they recorded the number of pairs of shoes that each boy owned. Given is a dotplot of the data. Jackson, who reported owning 22 pairs of shoes, has a standardized score of z = 1.10. What is the correct interpretation of Jackson's z-score? 5 10 15 20 25 30 35 40 Number of pairs of shoes O His value is 1.10 standard deviations above the mean. O Jackson owns 1.10 more pairs of shoes than average. O The number of pairs of shoes owned by Jackson is 1.10 standard deviations above the mean number of pairs of shoes owned by the boys in the sample. O To calculate this value, take Jackson's number of pairs of shoes, subtract the class average, and then divide by the standard deviation. O Jackson's pairs of shoes outnumbered his classmates by a factor of 1.10. prt sc GH
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