91Ó°ÊÓ

Fill in the exclusive and inclusive ranges for the following items.$$ \begin{array}{|c|c|c|c|} \hline \text { High Score } & \text { Low Score } & \text { Inclusive Range } & \text { Exclusive Range } \\ \hline 12.1 & 3 & & \\ \hline 92 & 51 & & \\ \hline 42 & 42 & & \\ \hline 7.5 & 6 & & \\ \hline 27 & 26 & & \\ \hline \end{array} $$

Why would you expect more variability on a measure of personality in college freshmen than you would on a measure of age?

Why does the standard deviation get smaller as the individuals in a group score more similarly on a test? And why would you expect the amount of variability on a measure to be relatively less with a larger number of observations than with a smaller one?

For the following set of scores, compute the range, the unbiased and the biased standard deviations, and the variance. Do the exercise by hand. $$ 94,86,72,69,93,79,55,88,70,93 $$

Use SPSS to compute all the descriptive statistics for the following set of three test scores over the course of a semester. Which test had the highest average score? Which test had the smallest amount of variability?$$ \begin{array}{|c|c|c|} \hline \text { Test 1 } & \text { Test 2 } & \text { Test 3 } \\ \hline 50 & 50 & 49 \\ \hline 48 & 49 & 47 \\ \hline 51 & 51 & 51 \\ \hline 46 & 46 & 55 \\ \hline 49 & 48 & 55 \\ \hline 48 & 53 & 45 \\ \hline 49 & 49 & 47 \\ \hline 49 & 52 & 45 \\ \hline 50 & 48 & 46 \\ \hline 50 & 55 & 53 \\ \hline \end{array} $$

Find the inclusive range, the sample standard deviation, and the sample variance of each of the following sets of scores: 1\. \(5,7,9,11\) 2\. \(0.3,0.5,0.6,0.9\) 3\. \(6.1,7.3,4.5,3.8\) 4\. \(435,456,423,546,465\)