FerrellJEDR8201-3

FerrellJEDR8201-3 1 Analyze the Measures of Central Tendency and the Measures of Variability Joyce E. Ferrell Department of Education, Northcentral University EDR-8201: Statistics I Dr. McKenna November 19, 2023

FerrellJEDR8201-3 2 Analyze the Measures of Central Tendency and the Measures of Variability 1. Split the file by gender. Calculate the mean and the standard deviation of exam and lectures for males and females.

FerrellJEDR8201-3 4 Lectures Attended Stem-and-Leaf Plot for Sex= male Frequency Stem & Leaf 2.00 Extremes (=<9) 2.00 1 . 24 .00 2 . 4.00 3 . 1478 6.00 4 . 024678 9.00 5 . 122455678 10.00 6 . 2245677889 11.00 7 . 00001235689 6.00 8 . 044568 4.00 9 . 1778 Stem width: 10 Each leaf: 1 case(s) Lectures Attended Stem-and-Leaf Plot for Sex= Female Frequency Stem & Leaf 2.00 1 . 08 3.00 2 . 117 4.00 3 . 0467 9.00 4 . 233568889 5.00 5 . 47799 8.00 6 . 01122669 7.00 7 . 1224568 5.00 8 . 01245 1.00 9 . 0 2.00 10 . 00 Stem width: 10 Each leaf: 1 case(s)

FerrellJEDR8201-3 5 2. Compute the mean, median, and mode for computer (computer literacy).

FerrellJEDR8201-3 7 a. What does the range tell you about the data? The range in this data collection tells the difference between your maximum value of 73 and your minimum value of 27. The range is the difference between the highest and lowest values. According to Booker-Zorigian (2021), it can also be known to be affected by an outlier. b. What does the standard deviation tell you about the data? The standard deviation in this data collection is the average amount that the scores or distribution deviate from the mean. The more widely spread out, the larger the standard deviation (Booker- Zorigian, 2021). 4. Create a frequency distribution table and a graph for Uni (university).

FerrellJEDR8201-3 8 a. What is the most appropriate measure of central tendency? The most appropriate measure of central tendency is mode because this data is not continuous data, but it is categorical data, which is nominal data due to there being no order of the universities. It is just name only in the data set (Booker-Zorigian, 2021). b. Please provide a rationale for why you selected this measure of central tendency for this variable. When deciding which measure of central tendency to use, you must consider both levels of measurement and skew. Mode is most often used for variables that are nominal. So, for this data set, the mode is the only measure of central tendency.