Stat 100 Flashcards
(38 cards)
Statistics (4)
- Numerical facts
- A calculation on a collection of values
- A methodology for arranging data for decision making
- Use probability to make decisions in the face of uncertainty
Population
N
A collection of all possible individuals, objects, or measurements of interest.
Sample
n
A selection of some of the population.
Statistical variable
X
The quantity under study whose value fluctuates with chance.
Data
The observed values of the statistical variable.
Quantitative (or categorical) data
Non-numerical labels or categories called attributes
Quantitative (or numerical) data
Numerical observations
Discrete data
Counts; possible values of the variable are countable
Continuous data
Measurements; can’t be measured exactly
Descriptive statistics
Describing a collection of data
Inferential statistics
Making a general conclusion on the population based on data taken from a sample
Mutually exclusive
And observation can only fit in one category
Exhaustive
All the data fits into the categories chosen
Raw data
Small number of observations listed in an array
Ungrouped frequency distribution
Used when there are many observations and few distinct values. Data is represented in a table with column X=distinct values and F=frequency of each value.
Grouped frequency distribution
Used when there are many observations with many distinct values. Data is put into a table were values are arranged in classes and the frequency of each class is marked in another column.
Relative frequency
The proportion, as a decimal fraction, of observations in a specific class or value.
Relative frequency density
Relative frequency without dependency on class-size
Mode
The value of the bear bowl that occurs most often. [May not be unique]
Median
The value of the middle most observation
F.S.A.R.U.
Formula Substitution Answer Round off Units
Chebyshev’s theorem
The fraction of any data set that lies within K standard deviation of the mean is at least 1-(1/k•k)
Standard score
Z
Measures the distance that an observation is from the mean units of standard deviation’s
Permutations
The number of possible arrangements when order matters