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Dec 6, 2023

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Page 1 of 7 Statistics for Psychology Adapted from Aron, Coups, & Aron (2013) Homework 2-Due Monday September 18 th at 4pm Below are the questions you need to answer for Homework 2. There are 18 questions. Don’t overlook Questions 16, 17, and 18 which are the only questions on the last page of this document. There are 40 total points. The multiple choice questions are graded automatically and are 14 out of the 40 points. So the score you will see right away is out of 14 points. You will complete this assignment in Canvas. Go to Quizzes, then Homework Assignment 2-submit answers. This is the only way to submit homework assignments for points. You only have one attempt for this assignment so please ensure that you know how you want to answer the questions before you open the quiz in Canvas. For some questions, you will be required to conduct hand calculations. Be sure to show ALL of your work otherwise you cannot earn any points. Additionally, be sure to use the formulas that are being taught in this course (i.e., the definitional formulas) otherwise you cannot earn any points. Refer to the PowerPoints for these formulas. You will be required to upload a file of these hand calculations. Acceptable files types are a Word document, a Google doc, PDF, or jpg/jpeg/png. You will not be given another opportunity to upload files so ensure you have reviewed page 6 of the syllabus for acceptable file types. Do not upload HEIC files. These cannot be reliably accessed in order to check your work and give you feedback. Please ensure that these are ready to upload before you begin the quiz because you only get one attempt for this assignment.

Page 2 of 7 1. For which of the following would the mean be the best measure of central tendency? a. Participants are asked how many classes they are taking and everyone reports that they are taking between 4-6 classes this semester b. Participants are asked how stressed they are on a scale of 0-10. Everyone reports scores between 8-10 except for two participants who report stress levels of 1. c. Participants are asked what major they have declared d. The mean can be used for any of these scenarios. Measures of central tendency are interchangeable. 2. For which of the following would the median be the best measure of central tendency? a. Participants are asked how many classes they are taking and everyone reports that they are taking between 4-6 classes this semester b. Participants are asked how stressed they are on a scale of 0-10. Everyone reports scores between 8-10 except for two participants who report stress levels of 1. c. Participants are asked what major they have declared d. The median can be used for any of these scenarios. Measures of central tendency are interchangeable. 3. For which of the following would the mode be the best measure of central tendency? a. Participants are asked how many classes they are taking and everyone reports that they are taking between 4-6 classes this semester b. Participants are asked how stressed they are on a scale of 0-10. Everyone reports scores between 8-10 except for two participants who report stress levels of 1. c. Participants are asked what major they have declared d. The mode can be used for any of these scenarios. Measures of central tendency are interchangeable.

Page 3 of 7 4. Variance is a. the sum of the squared deviations b. a measure of the spread of the data c. the average of the absolute deviation scores d. the square root of standard deviation 5. Standard deviation is a. the square root of variance b. the average of the absolute deviation scores c. the sum of squared deviations d. a measure of how often a particular score was given 6. Why is standard deviation more often used as a descriptive statistic than variance? a. Standard deviation is a more accurate statistic than variance b. Standard deviation is a smaller number than variance c. Standard deviation is easier to interpret than variance d. Standard deviation is not used more than variance. Variance is the preferred descriptive statistic to report.

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Page 4 of 7 Questions 7-12. Use the 21 data points given below to answer the following questions. 2 1 1 2 3 2 0 0 4 5 0 3 1 1 4 4 0 1 4 4 0 7. What is the mean of this data? a. 2 b. 42 c. 0 d. 4 8. What is the median of this data? a. 2 b. 42 c. both 0 and 4 d. 2.5 9. What is the sum of squared deviations of this data? a. 6 b. 56 c. 2 d. 2.80 10. What is the variance of this data? a. 2.67 b. 2.80 c. 2 d. 0 11. What is the standard deviation of this data? a. 1.67 b. 1.63 c. 0 d. 2

Page 5 of 7 12. Upload your work for the hand calculations of the mean, median, sum of squared deviations, variance, and standard deviation (i.e., the previous five questions). Be sure to show ALL of your work and be sure to use the formulas that are being taught in this course (i.e., the definitional formulas). Refer to the PowerPoints for these formulas. Otherwise you cannot earn any points. Lastly, be sure all of the statistics are included. Please ensure that these are ready to upload before you begin the quiz because you only get one attempt for this assignment. See the instructions for this assignment and page 6 of the syllabus for acceptable file types and other information. If you choose, you can put all of your work for this entire assignment on the same document. If you do that, just upload that same document for all of the questions requiring a file upload. Be sure that your answers are labeled/organized and legible. Points will be taken off otherwise.

Page 6 of 7 Questions 13-18. Use the information and data given below to answer the following questions. A developmental psychologist studies the number of words that seven infants have learned at a particular age. The data for these seven infants are: Infant A: 10 Infant B: 12 Infant C: 8 Infant D: 0 Infant E: 3 Infant F: 40 Infant G: 18 13. What is the mean of this data? a. 91 b. 10 c. 13 d. 32 14. What is the median of this data? a. 91 b. 10 c. 13 d. 32 15. What is the standard deviation of this data? a. 176.33 b. 13.28 c. 151.14 d. 12.29 Questions 16, 17, and 18 are on the last page of this document

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Page 7 of 7 16. Upload your work for the hand calculations of the mean, median, and standard deviation (i.e., the previous three questions). Be sure to show ALL of your work and be sure to use the formulas that are being taught in this course (i.e., the definitional formulas). Refer to the PowerPoints for these formulas. Otherwise you cannot earn any points. Lastly, be sure all of the statistics are included. Please ensure that these are ready to upload before you begin the quiz because you only get one attempt for this assignment. See the instructions for this assignment and page 6 of the syllabus for acceptable file types and other information. If you choose, you can put all of your work for this entire assignment on the same document. If you do that, just upload that same document for all of the questions requiring a file upload. Be sure that your answers are labeled/organized and legible. Points will be taken off otherwise. 17. Explain to someone who has never taken a statistics course how you calculated the mean. Detail the process (i.e., the steps) in calculating these statistics. Do not just list equations. 18. Explain to someone who has never taken a statistics course how you calculated the standard deviation. Detail the process do not just list equations. In your explanation, be sure to use the names of the concepts. For example, if you are calculating a deviation score, use that specific term. Do not simply say “that number”.

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