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Statistics 101 With Complete Solutions

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  • Statistics 101

Statistics 101 With Complete Solutions

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  • September 17, 2024
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  • 2024/2025
  • Exam (elaborations)
  • Questions & answers
  • Statistics 101
  • Statistics 101
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Statistics 101 With Complete Solutions

Design Answer: Stating the goal and/or statistical question of interest and planning how to obtain
data that will address them



Description Answer: Summarizing and analyzing the data that are obtained



Inference Answer: Making decisions and predictions based on the data for answering statistical
questions



Variable Answer: The characteristic of being measured; any characteristic observed in a study (parts
of the study that are being studied)



Population Answer: Set of all of the subjects of interest



Sample Answer: The subset of the population for whom we will collect data



Descriptive Statistics Answer: Methods for summarizing collected data



Inferential Statistics Answer: Methods of making decisions or predictions about a population based
on data obtained from a sample of that population; make predictions and draw conclusions



Sample Statistics Answer: Percentage of a sample for a specific variable



Parameter Answer: Numerical summary of the population

,Statistic Answer: A numerical summary of a sample taken from the population



Statistically Significant Answer: When the difference between results is so large that it'd be odd to
see such a difference by ordinary random variation



Categorical Answer: A variable on which each observation belongs to one of a set of distinct
categories



Quantitative Answer: A variable on which observations take numerical values that represent
different magnitudes of the variable



Quantitative Variables Key Features Answer: 1) Center, 2) Variability (spread) of the data



Categorical Variables Key Features Answer: Relative number of observations in various categories



Discrete Answer: A quantitative variable whose possible values for a set of separate numbers; " the
number of..."; anything with a finite number of possible values



Continuous Answer: A quantitative variable whose values form an interval; variables that have an
infinite continuum of possible values



Distribution of a Variable Answer: Describes how the observations fall (are distributed) across the
range of possible values. For a categorical variable, the possible values are the different categories:
simply shows all possible categories and the number (or proportion) of observations falling into each
category. For a quantitative variable, the entire range of possible values is split up into separate intervals
and the number (or proportion) of observations falling in each interval.



Modal Category Answer: Category with the largest frequency

, Quantitative Variable Characteristics Answer: Shape, center, variability



Frequency Table Answer: A listing of possible values for a variable, together with the number of
observations for each value



Proportion of Observations Answer: The number of observations in that category divided by the
total number of observations



Percentage Answer: The proportion multiplied by 100



Relative Frequencies Answer: Proportions and percentages



Pareto Chart Answer: A bar graph with categories ordered by their frequency



Pareto Principle Answer: The principle that states that a small subset of observations often contain
most of the observations



Dot Plot Answer: A plot that portrays a dot for each observation placed just above the value on the
number line for that observation



Stem-and-Leaf Plot Answer: Each observation is represented by a stem and a leaf; usually the stem
consists of all of the digits except for the final one, which is the leaf



Histogram Answer: A graph that utilizes bars to portray the frequencies or the relative frequencies
of the possible outcomes for a quantitative variable; bars represent a quantitative variable

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