PSYC-FPX4700_Hassan_Alexis_Assessment2-1

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PSYC-FP4700 Assessment 2 Worksheet Assessment 2 – Central Tendency and Probability Complete the following problems within this Word document. Do not submit other files. Show your work for problem sets that require calculations. Ensure that your answer to each problem is clearly visible. You may want to highlight your answer or use a different type color to set it apart. Problem Set 2.1: Characteristics of the Mean Criterion: Describe a distribution. Instructions: Read the following and answer the questions. Data: To study perception, a researcher selects a sample of participants ( n = 12) and asks them to hold pairs of objects differing in weight, but not in size, one in each hand. The researcher asks participants to report when they notice a difference in the weight of the two objects. Below is a list of the difference in weight (in pounds) when participants first noticed a difference. Answer the following questions based on the data given in the table. Difference in Weight 4 8 9 5 12 7 6 15 10 4 8 8 1. State the following values for this set of data: a) Mean ___ 8 ____ Add all values then divide by total 96/12 = 8 b) Median ___ 8____ Organize them from smallest to largest, pick the middle most number. In this case there were two (8 & 8). So we would add them and divide by two which is still 8. c) Mode(s) ___ 8____ Number that appears the most 2. What is the shape of this distribution? Hint: Use the values of the mean, median, and mode to infer the shape of this distribution. After further analyzation, I found there to be a unimodal shape of this distribution, where one of more values occur most frequently. 1

Problem Set 2.2.a: Interpret Means in a Chart Criterion : Interpret means in a chart. Instructions: Read the information below and answer the questions. Data: General life satisfaction across culture . Gilman and colleagues (2008) measured general life satisfaction in 1,338 adolescents from two individualistic nations (Ireland, United States) and two collectivist nations (China, South Korea) using the Multidimensional Students’ Life Satisfaction Scale (MSLSS). Mean participant scores on the MSLSS are given in the following table. Mean MSLSS Scores by Nation and Gender Nation Gender Men Women United States 4.39 4.61 Ireland 4.37 4.64 China 4.41 4.56 South Korea 3.92 3.78 1. Among which group was general life satisfaction lowest on average? The table shows that South Korea has the lowest life satisfaction; South Korean women having the lowest life satisfaction overall, with a score of 3.78 (Gilman & Colleagues, 2008) ____ 2. Among which group was general life satisfaction highest on average? On Average, Ireland has the highest life satisfaction with their mean score of 4.51 (Gilman & Colleagues, 2008). To obtain a score of 4.51, I added the scores from the men and women and divided the result by two to get the mean of 4.505 and rounding up to 4.51. 2

Problem Set 2.2.b: Understanding Standard Deviations in a Chart Criterion: Interpret standard deviations in a chart. Instructions: Read the following and answer the question based on the data in the chart. Data: Acceptable height preferences . Salska and colleagues (2008) studied height preferences among dating partners. In their first study, they reviewed Yahoo! Personals for heterosexual individuals living within 250 miles of Los Angeles, California, and recorded the acceptable range of heights for their dating partners. The following table lists some of the results. Preferences Women Men M SD M SD Shortest acceptable height, inches 68.9 2.6 60.6 3.7 Tallest acceptable height, inches 75.3 2.2 69.8 2.7 1. Overall, did men or women show greater variability in their responses? Explain. Overall, greater variability in this data set was exhibited by men. The shortest acceptable height, for men, had a standard deviation of 3.7 over the womens standard deviation of 2.6 (Salska & Colleagues, 2008). The tallest acceptable height, for men, was a standard deviation of 2.7 over the womens standard deviation of 2.2 (Salska & Colleagues, 2008). Problem Set 2.3: Range , Variance , and Standard Deviation in Excel Criterion: Calculate measures of variability in Excel from a group of raw scores. Data: A sample of likes per post on Facebook: 45, 789, 16, 5, 486, 1, 87, 18, 48, 1 Instructions: Complete the following steps: a. Install the data analytics package in Excel. o If you are unsure about how to do this, visit Load the Analysis Toolpak in Microsoft Excel, which has tutorials for both Windows and Mac. Used with permission from Microsoft. b. Enter the data above into Excel using the variable name Data . In cell A1, type the word “Data.” Then, enter the data above in cells A2 to A11. c. In the Toolbar , click Data Analysis , Select Descriptive Statistics , then click Ok. d. Next to input range type: $A$2:$A$11 e. Double check that summary statistics has a check next to it. 3

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