Assignment Problem: The following are 60 test scores from a written test:
48 45 50 49 46 47 47 49 50 10
45 51 51 48 49 46 44 44 52 13
48 43 48 41 48 49 47 49 51 24
51 43 53 45 48 47 51 46 49 20
48 48 45 46 49 48 46 48 52 24
52 50 51 47 45 46 43 47 49 20
1. Create a variable titled "Written_Exam" with "0" decimals places in SPSS. Enter the data above into a single column in SPSS, and calculate three measures of central tendency and three measures of variability.
2. Based only on the SPSS output of descriptive statistics (not using a histogram or other graph), do the data appear to be normally distributed or are they skewed? What is the basis for your answer?
3. Briefly explain the difference between measures of central tendency and measures of variability. Why is it necessary to report both in order to fully describe a data set?
4. What measure of central tendency is resistant to change when you have extremely large or small scores (outliers)?
5. What measure of variability is used as a descriptive statistic when the mean is used as the measure of central tendency?