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What percent of the scores in a normal distribution will fall within one standard deviation?
It is 68.3%
In a standard normal distribution about percent of the scores fall above a z-score of 3.00?
0.13
What percent of the scores will fall between 1.22 and 8.78 Mean 5 Standard Deviation 1.41?
Convert to Standard Normal Distribution the values of 1.22 & 8.78. Z = (8.78-5)/1.41 = 2.68; and Z = (1.22-5)/1.41 = -2.68. Find the area between 2.68 & -2.68 from Table. Area @ 2.68 = .9963; Area @ -2.68 = .0037. Take the difference in the areas and that is the solution. 0.9963 - 0.0037 = .9926 or 99.26% of the scores fall between 1.22 & 8.78.
What percentage of scores in a normal distribution would fall between z-scores of 1 and -2?
3
What percentage of scores fall within -3 and plus 3 standard deviations around the mean in a normal distribution?
99.7% of scores fall within -3 and plus 3 standard deviations around the mean in a normal distribution.
In a standard normal distribution about percent of the scores fall above a z score of 300?
A Z score of 300 is an extremely large number as the z scores very rarely fall above 4 or below -4. About 0 percent of the scores fall above a z score of 300.
What percent of the scores in a normal distribution will fall within one standard deviation?
It is 68.3%
In a standard normal distribution about percent of the scores fall above a z-score of 3.00?
0.13
What percentage of scores fall between 0 and -2 in a normal distribution?
2
What percent of the scores will fall between 1.22 and 8.78 Mean 5 Standard Deviation 1.41?
Convert to Standard Normal Distribution the values of 1.22 & 8.78. Z = (8.78-5)/1.41 = 2.68; and Z = (1.22-5)/1.41 = -2.68. Find the area between 2.68 & -2.68 from Table. Area @ 2.68 = .9963; Area @ -2.68 = .0037. Take the difference in the areas and that is the solution. 0.9963 - 0.0037 = .9926 or 99.26% of the scores fall between 1.22 & 8.78.
How are scores distributed if the mean is 100 and the standard deviation is 15?
If the mean score is 100 and the standard deviation is 15, the distribution of scores is likely to follow a normal distribution, also known as a bell curve. In this distribution, approximately 68% of scores fall within one standard deviation of the mean (between 85 and 115), about 95% fall within two standard deviations (between 70 and 130), and about 99.7% fall within three standard deviations (between 55 and 145). This pattern indicates that most scores cluster around the mean, with fewer scores appearing as you move away from the center.
What percentage of scores falls between the mean and -2 to 2 standard deviations under the normal curve?
In a normal distribution, approximately 68% of scores fall within one standard deviation of the mean (between -1 and +1 standard deviations). About 95% of scores fall within two standard deviations (between -2 and +2 standard deviations). Therefore, the percentage of scores that falls specifically between the mean and -2 to 2 standard deviations is about 95% minus the 50% that is below the mean, resulting in approximately 45%.
What percentage of scores in a normal distribution would fall between z-scores of 1 and -2?
3
What are normal IQ scores for children?
Normal IQ scores for children typically fall between 90 and 110. Scores above 130 are considered superior, while scores below 70 are indicative of intellectual disability. It's important to consider other factors when interpreting IQ scores, such as a child's age and individual strengths and weaknesses.
Scores on the sat exam approximate a normal distribution with µ equals 500 and sd equals 100 use this distribution to determine the percentage of sat scores that fall above 600?
The answer is about 16% Using the z-score formula(z = (x-u)/sd) the z score is 1. This means that we want the percentage above 1 standard deviation. We know from the 68-95-99.7 rule that 68 percent of all the data fall between -1 and 1 standard deviation so there must be about 16% that falls above 1 standard deviation.
What percentage of scores fall within -3 and plus 3 standard deviations around the mean in a normal distribution?
99.7% of scores fall within -3 and plus 3 standard deviations around the mean in a normal distribution.
Your credit score is 808. Is that good?
Yes! Congratulations. (Most folks' scores fall within between the low 500's to the high 700's. You've broken through.)
