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STAT 100 Study Guide - Final Guide: Standard Deviation, Box Plot, Dependent And Independent VariablesPremium

3 pages86 viewsFall 2018

Course Code
STAT 100
Marie Loughin
Study Guide

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a. Recognize outliers and give plausible explanations for them.
b. Interpret the median M (Q2) and the quartiles Q1 and Q3 for a set of observations.
c. Given the five-number summary, draw a boxplot; given a boxplot, determine the five-
number summary; assess center, spread, symmetry, and skewness from a boxplot.
d. Interpret the mean x ̅and the standard deviation s for a set of observations.
e. Understand that the median is less affected by extreme observations than the mean.
f. Recognize that skewness in a distribution moves the mean away from the median toward
the long tail.
g. Know the basic properties of the standard deviation: - s ≥ 0 always; - s = 0 only when all
observations are identical and increases as the spread increases; - s has the same units as
the original measurements; - s is greatly increased by outliers or skewness.
h. Interpret a density curve as a description of the distribution of a quantitative variable.
i. Recognize the shape of Normal curves, and estimate by eye both the mean and the
standard deviation from such a curve.
j. Use the 689599.7 rule and symmetry to state what percentage of the observations from
a Normal distribution fall between two points when the points lie at the mean or one, two,
or three standard deviations on either side of the mean.
k. Find and interpret the standard score of an observation.
l. Use Table B to find the percentile of a value from any Normal distribution and the value
that corresponds to a given percentile
m. Make a scatterplot to display the relationship between two quantitative variables
measured on the same subjects. Place the explanatory variable (if any) on the horizontal
scale of the plot.
n. Describe the direction, form, and strength of the overall pattern of a scatterplot. In
particular, recognize positive or negative association and straight-line patterns. Recognize
outliers in a scatterplot.
o. Judge whether it is appropriate to use correlation to describe the relationship between two
quantitative variables. Use a calculator to find the correlation r.
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