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Best graph for grouped numerical data
Histogram
Best graph for categories
Pie chart
Best graph for showing outliers
Box plot
Best graph for spread and center
Box plot
Graph with touching bars
Histogram
Graph with separate categories
Pie chart
Graph with five number summary
Box plot
Find average of data
Mean
Find middle value
Median
Find most common value
Mode
Find largest minus smallest
Range
Find average distance from mean
standard deviation
Data has extreme outliers
Use median
Data has no outliers
Use mean
Every student in a school surveyed
Population
50 students from school surveyed
Sample
Entire group studied
Population
Smaller group selected
Sample
Population mean symbol
μ
Sample mean symbol
x̄
Population standard deviation symbol
σ
Sample standard deviation symbol
s
Population data standard deviation
σ
Sample data standard deviation
s
Small standard deviation means
Values close to mean
Large standard deviation means
Values spread out
Bell shaped data within 1 standard deviation
68%
Bell shaped data within 2 standard deviations
95%
Bell shaped data within 3 standard deviations
99.7%
Empirical Rule cannot be used for
Non normal distributions
Find distance between Q1 and Q3
IQR
Find lower outlier boundary
Q1 − 1.5 * IQR
Find upper outlier boundary
Q3 + 1.5 * IQR
Value below lower fence
Low outlier
Value above upper fence
High outlier
Two peaks in data
Bimodal
Tail extends left
Left skewed
Tail extends right
Right skewed
Equal spread on both sides
Symmetric
Bell shaped curve
Normal
Equal height bars
Uniform
Enter data into list
STAT → EDIT → L1
Access lists
STAT → EDIT
Clear list
Highlight L1 → CLEAR → ENTER
Find statistics
STAT → CALC → 1-Var Stats
Find mean
1-Var Stats → x̄
Find median
1-Var Stats → Med
Find population standard deviation
1-Var Stats → σx
Find sample standard deviation
1-Var Stats → Sx
Find minimum
1-Var Stats → minX
Find Q1
1-Var Stats → Q1
Find Q3
1-Var Stats → Q3
Find maximum
1-Var Stats → maxX
Find five number summary
minX Q1 Med Q3 maxX
Turn on plot
2nd → Y= → Plot1 → ENTER
Choose box plot
Select box plot icon
Choose data list
Xlist → L1
Graph box plot
ZOOM → 9 ZoomStat
Box plot displays
Minimum Q1 Median Q3 Maximum