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Dr. DeLay’s SOC 390 Homework 1 Name: Jiahui Du______________ ASU ID Number: 1211312203_______________________ To receive full credit (10 points total), you must show all of your work and you must complete all parts of the questions. The following is a made-up data set that contains scores from 10 people regarding their self-rated happiness and their self-rated level of stress. Happiness was rated on a scale of 1 (not happy at all) to 10 (extremely happy). Stress was rated on a scale of 1 (not experiencing stress at all) to 10 (experiencing extreme amounts of stress). Subject ID number

Happiness Scores

Stress Scores

1 2 3 4 5 6 7 8 9 10

8 7 10 7 4 7 5 8 2 5

2 4 1 4 6 8 10 4 8 7

1. Using the data set above, complete this simple frequency table for the variable “stress”. Order the stress values from highest to lowest. Please include values that have a frequency of zero. (3 points) Relative frequency formula: rf = f / N Stress Values 10 9 8 7 6 5 4 3 2 1 Total

Frequency (f) 1 0 2 1 1 0 3 0 1 1 10

Relative Frequency (rf) 0.1000 0 0.2000 0.1000 0.1000 0 0.3000 0 0.1000 0.1000 1

2. Using the data set provided, compute the mean for the variable “happiness” by hand. Show all of your work to receive full credit. (2 points)

（8+7+10+7+4+7+5+8+2+5）/10 =6.3 The for the variable happiness is 6.3 Mean formula: Mean = ∑ X / N 3. Using the data set above, please report the median for the variable “happiness” by hand. HINT: when you have an even number of observations, there is no “middle” number. Thus, you compute the average of the two middle numbers. Show your work to receive full credit. (1 point)

2 4 5 5 7 7 7 8 8 10 (7+7)/2= 7 Te median for the variable “happiness is 7 4. Using the data set above, please report the mode for the variable “stress”. (1 point) Stress Values 10 9 8 7 6 5 4 3 2 1

Frequency (f) 1 0 2 1 1 0 3 0 1 1

Mode = 4

5. How frequent was the value of the mode of “stress”? In other words, how many times did the mode of stress occur in the sample? (.5 point) Stress Values Frequency (f) 10 1 9 0 8 2

7 6 5 4 3 2 1

1 1 0 3 0 1 1

The mode of stress occur in the sample 3 times

6. Which measure of central tendency is most influenced by outliers? (1 point). Mean is most influenced by outliers.

7. Using the following SPSS output, report the mean, median, and mode of the variable commute time (i.e., “Approximately How Long is your Commute to ASU?”; 1.5 points)

Statistics Approximately how long is your commute to ASU N

Valid Missing

95 2

Mean

21.13

Median

15.00

Mode

15

The mean of Approximately How Long is your Commute to ASU is 21.13min The median of Approximately How Long is your Commute to ASU is 15.00min The mode of Approximately How Long is your Commute to ASU is 15 min...