homework week 3.docx

# homework week 3.docx - PSYC 510 HOMEWORK 3 Central Tendency...

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PSYC 510 H OMEWORK 3 Central Tendency and Variability When submitting this file, be sure the filename includes your full name, course and section. Example: HW3_JohnDoe_510B01 Be sure you have reviewed this module/week’s lesson and presentations along with the practice data analysis before proceeding to the homework exercises. Complete all analyses in SPSS, then copy and paste your output and graphs into your homework document file. Answer any written questions (such as the text-based questions or the APA Participants section) in the appropriate place within the same file. Part I: Concepts Questions 1–7 These questions are based on the Nolan and Heinzen reading and end-of-chapter questions. Questions 1-4 Fill in the highlighted blanks to answer/complete the statements. 1 ) Another name for the arithmetic average of a set of numbers is the __Mean______ . 2) Name the three measures of central tendency covered in Chapter 4 of Nolan and Heinzen (2016). 1.__mean__ 2. median and 3. Mode ____ 3 ) According to the text and presentation, which measure of central tendency is most likely to be negatively affected by outliers? __mean______ 4 ) Which measure of variability is defined as the typical amount that each score varies from the mean? _variance_______ Question 5a-5d For the following terms, write the equivalent mathematical symbol (letter or letters) for the sample statistic. 5-a) Score: z 5-b) Mean: M x x Page 1 of 14

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PSYC 510 5-c) Standard deviation: SD or s 5-d) Number of participants in sample: N Question 6a-6c These are the scores of eleven patients on the Beck Depression Inventory (BDI ® ). Scores can range from 0 to 63. 6-a) What is the mean of the scores? (Compute this using a calculator): 19.18 6-b) What is the median of these scores? 16 6-c ) Compare the mean and median. Does the difference between them suggest that the data are skewed positively, skewed negatively, or symmetrical? Explain. The mean is the average score taken from all the scores collected. The median is the middle score of all the scores collected. Outliers can effect the mean score (extreme scores, high and low). The median is more resistant to these outliers. If the mean is an average score of all scores collected, then unusally high or unusually low scores can negatively of positively skew the data. These outliers are commonly removed from the data set to find a more accurate average. The median is the middle number of the set and no matter how high or how low the outliers are, the middle stays the same, making the median more resistant to the effects of extreme outliers.
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