psych help asap Imagine that we were interested in studying people\'s subjective
ID: 3170077 • Letter: P
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psych help asap
Imagine that we were interested in studying people's subjective well-being (i.e., feelings of general life satisfaction). We therefore administer a survey of subjective well-being (scale: 1 = extremely low, 9 = extremely high) to a sample of 14 participants. We obtain the following set of scores: 8, 2, 5, 4, 9, 5, 6, 7, 8, 5, 9, 7, 2, 1. Calculate the three measures of central tendency discussed in class for this set of scores (report your calculations step by step, not just the results). Calculate the standard deviation for this set of scores using the SD-formula for a sample (report your calculations step by step, not just the results). Interpret the results from the survey (focus on M and SD). What can we say about the general subjective well-being experienced in our sample, and what can we say about the amount of variation in experienced well-being?Explanation / Answer
2.1 Mean = (8+2+5+4+9+5+6+7+8+5+9+7+2+1)/14 = 5.57
Median- Arrange the data in ascending order first
1 2 2 4 5 5 5 6 7 7 8 8 9 9
Median = mean of 7th and 8th terms = (5+6)/2 = 5.5
Mode = most repeating term = 5
2.2 variance = [(8-5.57)2+(2-5.57)2+(5-5.57)2+(4-5.57)2+(9-5.57)2+(5-5.57)2+(6-5.57)2+(7-5.57)2+(8-5.57)2+(5-5.57)2+(9-5.57)2+(7-5.57)2+(2-5.57)2+(1-5.57)2]/14
= 6.39
Standard deviation = square root of variance = 2.53
2.3 The mean suggests that on an average, the rating given is people is 5.57, meaning that the subjective well being is at the middle of the scale. The standard deviation of 2.53 suggests that there is considerable variation in the subjective well being of the people from the mean value.
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