the mean is 146, and standard deviation is 35. A score of 181 is how many z-scores above the mean? The following figure shows the normal distribution with the proportion of the area under the normal curve containedwithin one, two, and three standard deviations of the mean. The last proportion on each side, 0.13%, depicts theremaining area under the curve. Specifically, 0.13% of the area under the standard normal distribution is locatedabove z-score values greater than the mean (P) plus three standard deviations (+30). Also, because the normaldistribution is symmetrical, 0.13% of the area under the standard normal distribution is located below z-score valuesless than the mean (µ) minus three standard deviations (-30).34.13%34.13%13.59%13.59%2.15%2.15%0.13%0.13%-30-20-10+10+20+30Use the figure to help you answer the following questions.The National Assessment of Educational Progress (NAEP) is a nationwide assessment of students' proficiency in ninesubjects: mathematics, reading, writing, science, the arts, civics, economics, geography, and U.S. history. The mainNAEP assessments are conducted annually on samples of students from grades 4, 8, and 12.the mean is 146. and standard deviation 35

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Description: the mean is 146, and standard deviation is 35. A score of 181 is how many z-scores above the mean? The following figure shows the normal distribution with the proportion of the area under the normal curve containedwithin one, two, and three standard

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the mean is 146, and standard deviation is 35. A score of 181 is how many z-scores above the mean?

The following figure shows the normal distribution with the proportion of the area under the normal curve contained
within one, two, and three standard deviations of the mean. The last proportion on each side, 0.13%, depicts the
remaining area under the curve. Specifically, 0.13% of the area under the standard normal distribution is located
above z-score values greater than the mean (P) plus three standard deviations (+30). Also, because the normal
distribution is symmetrical, 0.13% of the area under the standard normal distribution is located below z-score values
less than the mean (µ) minus three standard deviations (-30).
34.13%
34.13%
13.59%
13.59%
2.15%
2.15%
0.13%
0.13%
-30
-20
-10
+10
+20
+30
Use the figure to help you answer the following questions.
The National Assessment of Educational Progress (NAEP) is a nationwide assessment of students' proficiency in nine
subjects: mathematics, reading, writing, science, the arts, civics, economics, geography, and U.S. history. The main
NAEP assessments are conducted annually on samples of students from grades 4, 8, and 12.
the mean is 146. and standard deviation 35

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