MATH 215 — Midterm Exam Questions and
Answers, Lecture Summary and Exam
Revision Material
Introduction
This document covers key MATH 215 statistics and probability
concepts, including descriptive and inferential statistics,
probability rules, sampling, data presentation, measures of central
tendency and dispersion, and probability distributions. It also
covers Chebyshev’s Theorem, the Empirical Rule, histograms,
skewness, random variables, binomial experiments, normal
distributions, standard normal distributions, and continuity
correction.
Exam Questions and Answers
Chebyshev's Theorem --- correct precise answer ---For any set of
observations (sample or population), the proportion of the values
that lie within k standard deviations of the mean is at least 1-1/k^2,
where k is any constant greater than 1
, Empirical Rule --- correct precise answer ---applies only to bell
shaped distributions
68% of observations are within 1 SD of mean
95% of observations are within 2 SD of mean
99.7% of observations are within 3 SD of mean
Quartiles --- correct precise answer ---three measures that divide a
ranked set into four equal parts
Interquartile range --- correct precise answer ---difference between
Q3 and Q1, measure of dispersion
Box-and-whisker plot --- correct precise answer ---plot that shows
center, spread and skewness of a data set and can help detect
outliers
Experiment --- correct precise answer ---process that hen
performed results in one and only one of many observations
outcomes --- correct precise answer ---possible results of an
experiment
sample space --- correct precise answer ---set of all possible
outcomes
listed as S = { head, tail}, or with a venn diagram or tree diagram
Event --- correct precise answer ---collection of one or more of the
outcomes of an experiment, simple or compound
Answers, Lecture Summary and Exam
Revision Material
Introduction
This document covers key MATH 215 statistics and probability
concepts, including descriptive and inferential statistics,
probability rules, sampling, data presentation, measures of central
tendency and dispersion, and probability distributions. It also
covers Chebyshev’s Theorem, the Empirical Rule, histograms,
skewness, random variables, binomial experiments, normal
distributions, standard normal distributions, and continuity
correction.
Exam Questions and Answers
Chebyshev's Theorem --- correct precise answer ---For any set of
observations (sample or population), the proportion of the values
that lie within k standard deviations of the mean is at least 1-1/k^2,
where k is any constant greater than 1
, Empirical Rule --- correct precise answer ---applies only to bell
shaped distributions
68% of observations are within 1 SD of mean
95% of observations are within 2 SD of mean
99.7% of observations are within 3 SD of mean
Quartiles --- correct precise answer ---three measures that divide a
ranked set into four equal parts
Interquartile range --- correct precise answer ---difference between
Q3 and Q1, measure of dispersion
Box-and-whisker plot --- correct precise answer ---plot that shows
center, spread and skewness of a data set and can help detect
outliers
Experiment --- correct precise answer ---process that hen
performed results in one and only one of many observations
outcomes --- correct precise answer ---possible results of an
experiment
sample space --- correct precise answer ---set of all possible
outcomes
listed as S = { head, tail}, or with a venn diagram or tree diagram
Event --- correct precise answer ---collection of one or more of the
outcomes of an experiment, simple or compound
