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Basic Statistical Vocabulary
Graphical Displays
Algebra Review
Frequently Used Formulas
Calculator Commands (TI-84)
©2016 Pamela Hrabal
Vocabulary
5-Number Summary
68-95-99.7 Rule
Area Principle
Bar Chart
Boxplot
Case
Categorical Variable
Center
Conditional Distribution
Context
Contingency Table
CUSS
Data
Data Table
Distribution
Dot plot
Emperical Rule
Fence - Inner
Fence - Outer
Frequency Table
Histogram
Independence
Interquartile Range
©2016 Pamela Hrabal
Marginal Distribution
Mean
Median
Mode
Normal Model
Outliers
Parameter
Percentile
Pie Chart
P-Value
Quantitative Variable
Quartile
Range
Relative Frequency Table
Rescaling
Shape
Shifting
Simpson's Paradox
Skewed
Spread
Standard Deviation
Standard Normal Model
©2016 Pamela Hrabal
Standardized Value
Standardizing
Statistic
Stem-and-Leaf Plot
Symmetric
Tails
Timeplot
Uniform
Unimodal
Unit
Variable
Variance
Z-Score
©2016 Pamela Hrabal
Graphical Displays
©2016 Pamela Hrabal
Graphical Displays
1.
Find the descriptive statistics and create a box plot using
the given data 1, 1, 2, 3, 4, 5, 7, 8, 9, 9, 12
a. Minimum = __________
b. Quartile 1 = __________
c. Median = __________
d. Quartile 3 = __________
e. Maximum = __________
f. Mean = __________
g. Interquartile Range = __________
h. Lower Inner Fence = __________
i. Upper Inner Fence = __________
Box Plot
©2016 Pamela Hrabal
Graphical Displays
2. Create a Bar Chart and Dot Plot to organize the following data.
A statistics class took a survey of 100 people about
favorite automobile maker. The results came back that
30 favored Ford, 25 favored Chevy, 13 favored Nissan,
12 favored Toyota, and the rest favored β€œother”.
Bar Chart
Dot Plot
©2016 Pamela Hrabal
Graphical Displays
3.
Below are test scores for 20 AP Statistics students. Display this
data in a histogram and stem and leaf plot.
60
75
65
60
60
45
85
45
70
75
75
85
45
55
90
80
85
70
30
80
Histogram
Stem-and-Leaf
©2016 Pamela Hrabal
Algebra Review
Solve for the missing variable
π‘₯ βˆ’ 16.2
βˆ’1.75 =
0.114
16 βˆ’ 16.3
𝑧=
0.2
1.8 =
14 βˆ’ 14.4
𝜎
Solve for each variable
π‘₯βˆ’πœ‡
𝑧=
𝜎
π‘₯=
πœ‡=
𝜎=
©2016 Pamela Hrabal
Algebra Review
Solve for n
𝑆𝐷 𝑝 =
. 03 = 1.96
π‘π‘ž
𝑛
.36 (.64)
𝑛
π‘₯βˆ’πœ‡
𝑑= 𝑠
𝑛
Simplify the equation
31.0 βˆ’ 29.98
𝑑=
0.886
©2016 Pamela Hrabal
Frequently Used Formulas
Z-Statistic
π‘π‘ž
𝑛
1-Proportion z-interval
𝑝 ± π‘§βˆ—
1-Proportion z-test
𝑧=
2-Proportion z-interval
𝑝1 βˆ’ 𝑝2 ± 𝑧 βˆ—
2-Proportion z-test
𝑧=
(π‘βˆ’πœŒ)
πœŒπ‘ž
𝑛
𝑝1 π‘ž1
𝑛1
+
𝑝2 π‘ž2
𝑛2
𝑝1 βˆ’π‘2 βˆ’0
π‘†πΈπ‘π‘œπ‘œπ‘™π‘’π‘‘ 𝑝1 βˆ’π‘2
π‘π‘π‘œπ‘œπ‘™π‘’π‘‘ π‘žπ‘π‘œπ‘œπ‘™π‘’π‘‘
π‘†πΈπ‘π‘œπ‘œπ‘™π‘’π‘‘ 𝑝1 βˆ’ 𝑝2 =
𝑛1
+
π‘π‘π‘œπ‘œπ‘™π‘’π‘‘ π‘žπ‘π‘œπ‘œπ‘™π‘’π‘‘
𝑛2
T-Statistic
1-Sample t-interval
βˆ—
π‘₯ ± π‘‘π‘›βˆ’1
1-Sample t-test
π‘‘π‘›βˆ’1 =
𝑠
𝑛
π‘₯βˆ’πœ‡
𝑠
𝑛
2-Sampe t-interval
(π‘₯1 βˆ’ π‘₯2 ) ± 𝑑
2-Sample t-test
π‘‘π‘›βˆ’1 =
Matched Pairs t-test
π‘‘π‘›βˆ’1 =
βˆ—
𝑠12
𝑛1
+
𝑠22
𝑛2
π‘₯1 βˆ’π‘₯2 βˆ’(πœ‡1 βˆ’πœ‡2 )
2
𝑠2
1 + 𝑠2
𝑛1 𝑛2
𝑑 βˆ’πœ‡π‘‘
𝑠𝑑
𝑛
where d represents the difference between pairs of data
X 2 statistic
π‘‚π‘π‘ π‘’π‘Ÿπ‘£π‘’π‘‘βˆ’πΈπ‘₯𝑝𝑒𝑐𝑑𝑒𝑑 2
𝐸π‘₯𝑝𝑒𝑐𝑑𝑒𝑑
©2016 Pamela Hrabal
Common Calculator Commands
5-Number Summary
STAT-EDIT-ENTER DATA
STAT-CALC-1-Var Stats
Box Plot
Histogram
STAT-EDIT-ENTER DATA
2ND-Y=-TURN PLOT ON
TYPE: CHOOSE BOXPLOT W/DOTS
CHOOSE Xlist
ZOOM-9:ZoomStat
STAT-EDIT-ENTER DATA
2nd-Y=-TURN PLOT ON
TYPE: CHOOSE HISTOGRAM
CHOOSE Xlist
ZOOM-9:ZoomStat
Diagnostics On
2nd-0-x-1 – DiagnosticOn-ENTER
Statistics Tests
2nd – VARS
STAT – CALC
STAT - TESTS
©2016 Pamela Hrabal
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