Why Statistics and Why Excel/SPSS? - Answers •Excel/SPSS are the most popular and powerful
analytic tool.
•It is a great skill for the workplace.
•Required for statistics in future.
History of Statistics - Answers •Descriptive statistics began in the 17th century.
-The first set of data pertaining to populations was collected.
• Scientists developed specific tools to answer questions.
•Personal computers, spreadsheets, and software applications have increased the use of statistical
techniques for everyone.
•Powerful personal computers, the internet, and artificial intelligence apps have been both good and
bad for statistics.
Statistics - Answers describes a set of quantitative tools and techniques used to describe, organize,
and interpret information or data
Descriptive statistics - Answers used to organize and describe the characteristics of a collection of
data
•The collection is called a data set or just data.
Average - Answers the one value that best represents an entire group of scores.
•They are also called measures of central tendency and include the mean, median, and mode.
Mean - Answers the sum of all the values in a group, divided by the number of values in that group
-very sensitive to extreme scores (outliers)
-mean is sometimes represented by the letter M
Median - Answers the midpoint in a distribution or set of scores
-not sensitive to extreme scores (outliers)
-percentile ranks are used to define the percentage of cases equal to or below a certain point in a
distribution or set of scores
Mode - Answers the value that occurs most frequently
-The mode is the most general and least precise measure of central tendency
Inferential Statistics - Answers when you use information about a sample to make guesses about a
population
•A smaller group of data is called a sample, which is a portion or a subset of a population.
•The population is the large group of people/things you want to describe.
Levels of measurement - Answers types of data that include the mode, median, and mean and are in
order of how much information is in the distribution
Measurement - Answers the assignment of values to outcomes following a set of rules.
•Outcomes are a group of scores that provide different amounts of information about things and
concepts.
4 levels of measurement - Answers 1. Nominal
2. Ordinal
3. Interval
4. Ratio
Compare/Contrast 4 levels of measurement - Answers •If your scores just represent categories, use
the mode.
, •If your scores are spread out, but not evenly spaced, use the median.
•If your scores are spread out and evenly spaced, use the mean.
NOMINAL level of measurement - Answers describes situations where the numbers are used only as
names for different categories.
•One category isn't more or less than another.
•Example: which country you are from. If you are from Canada, we might code that as a 1 in our data.
Some other country would get another number.
ORDINAL level of measurement - Answers the things being measured are in some meaningful order.
•We know that one number is "better" than another, but not by how much.
•Example: a rank of candidates for a job. If we know that Russ is ranked 1, Marquis is ranked 2, and
Hannah is ranked 3, then this is an ordinal arrangement.
INTERVAL level of measurement - Answers about the distances or intervals between any two
adjacent scores anywhere along the scale.
•If all intervals are "equal" along the range of possible scores, we call that interval level.
•Example: Think of a Celsius thermometer, the difference between 48 degrees and 47 degrees is one
degree of heat, and the difference between 34 degrees and 33 degrees is also one degree of heat.
RATIO level of measurement - Answers characterized by the presence of an absolute zero on the
scale.
•On ratio-level scales, there is nothing less than zero.
•It's the only level where talking about ratios or percentages makes sense.
Variability - Answers reflects how much scores differ from one another
•Three measures of variability are used to reflect the degree of variability, spread, or dispersion in a
group of scores. (range, the standard deviation, and the variance)
•Sets of data can have the same mean but have different amounts of variability.
Range - Answers the distance of the biggest score from the smallest score
•Formula for the range: r = l -s
•The range is computed by subtracting the lowest score in a distribution from the highest score in the
distribution.
Variance - Answers the average amount of distance of each score from the mean.
How to find:
•Take each score and subtract the mean from it to create a difference score.
•Square each difference score before adding them up.
•Calculate the mean of those distance scores.
Standard Deviation - Answers (SD or s) represents the average amount of variability in a set of scores
-the larger the standard deviation:
•The larger the average distance each data point is from the mean of the distribution.
•The more variety there is in the set of scores.
Frequency Distribution - Answers This is a method of tallying and representing how often certain
scores occur in a set of scores.
•"SCALE" refers to the proportional relationship between the horizontal and vertical axes.