Question.3602 - You must look at the normal curve and the proportions under the normal curve in the textbook or slides to answer questions about the normal curve below. If you do not understand the normal curve and properties, visit me during student office hours so that I can explain it further before you submit this assignment. The properties addressed are about the proportions under the curve (which are also shared as percentages). Visit me during office hours if you need help with understanding these properties of the normal curve. Number your answers. Look at the properties of the normal curve and share the proportion (or percentage) of scores that fall between one standard deviation below the mean AND one standard deviation above the mean (add the proportions - one answer): Now look at it again and share the proportion (or percentage) of scores that fall between TWO standard deviations below the mean AND TWO standard deviations above the mean (add the proportions - one answer): How much does the proportion/percentage change under the curve from the one standard deviation distance to the two standard deviation distance (what is the difference in proportion from question 1 to question 2? In your own words, describe the people whose scores fall in the center of the curve - where do they stand in relation to the mean and to each other? Are they similar to one another in the variable being measured (which is any variable represented by scores in the normal curve)? (answer fully) Now think about the people whose scores fall in the tails of the curve. What can you say about their scores in relation to people's scores in the center of the distribution? Do you think the people whose scores are in the tails are similar to most people in the distribution, or are they different when it comes to the variable measured? (answer fully)
Answer Below:
0.3413 +0.3413 = 0.6826 or 68.26% 0.4772 + 0.4772 = 0.2277 or 22.77% 0.6826-0.2277=0.4549 or 45.49% People whose scores fall in the centre of the curve are very close to the mean. People in the center of the curve typically have more similarities with each other about the measured variable than those who are farther from the mean since they are all grouped around the mean. People whose scores fall in the tails of the curve tend to have scores above or below average on the measured variable. These scores represent the extremes of the distribution, indicating less common characteristics (Heiman,2015). The scores are different for each variable. References Heiman, G. (2015). Behavioral Sciences 2 STAT. 2nd Edition. Cengage Learning.More Articles From Statistics
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