The way data is spread out or arranged.
Distribution
A distribution that looks balanced on both sides
Symmetric Distribution
Data Points: 1, 2, 2, 2, 3, 15
Skewed right
This measures how far data values tend to be from the mean
Standard Deviation
Mean = 70
Standard Deviation = 5
What number is 2 standard deviations above the mean?
80
The average of a data set.
Mean
A distribution with a longer tail on one side
Skewed Distribution
Data Points: 40, 42, 44, 45, 46, 48, 50
Symmetric/Bell-Shaped distribution
When standard deviation is ___________ ,
Data values are close to the mean
Less spread
More consistency
Small
Mean = 64
Standard Deviation = 7
What number is 2 standard deviations below the mean?
The middle value of a data set.
Median
Outlier
Data Points: 1, 1, 2, 3, 4, 12
Skewed Right
When standard deviation is ____________,
Data values are far from the mean
Greater spread
Less consistency
Large
In a bell-shaped distribution, this % of the data is found within 2 standard devaitions of the mean.
95%
How spread out the data values are
Variability
If the outlier is bigger than the rest of the data set, it is ____________.
If the outlier is smaller than the rest of the data set, it is ____________.
Skewed right, Skewed left
What type of distribution is characterized by Mean = Median.
Bell-shaped distribution.
Standard Deviation uses this to measure spread.
Squared distances
In a bell-shaped distribution, this % of the data is found within 3 standard devaitions of the mean.
99.7%
When dealing with sampling distributions, the letter n represents this.
What is the sample size?
A symmetric distribution with one center peak
Bell shaped distribution
What is the difference between a symmetric distribution and a bell-shaped distribution?
Symmetric distributions can have 2 peaks.
Bell-shaped distributions always have 1 center peak.
What are the 5 steps for standard deviation?
1. Mean
2. Deviation
3. Square Deviations
4. Find Variance (Average squared deviations)
5. Find Standard Deviation (Sqrt of the Variance)
Mean: 55
Standard Deviation: 5
Find the values at each point on a bell curve :
-3 SD:? -2 SD:? -1 SD:? Mean:? +1 SD:? +2 SD:? +3 SD:?
-3 SD:40 -2 SD:45 -1 SD:50 Mean:55 +1 SD:60 +2 SD:65 +3 SD:70