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Copy of Statistics Part 1
How do all these make up the Statistics Unit??
Statistics is a mathematical system that helps collect and organize data depending on the objectives and need of the scenario, and all of these different parts work together to make up the system, coexisting peacefully with each other
Mode
most frequent value (ungrouped data) / class interval (grouped data) that occurs in a set of data
Mean
average
Ungrouped Data
Grouped Data
where x is the total value of all data values and n is the total no. of data values
where f is the frequency and x is the mid value of each class interval
Median
middle value of all data, arranged in ascending/descending order
Ungrouped Data
If n is odd, median= value in the (n+1)/2 position
If n is even, median=average of the
values in the (n/2) position and [(n/2)+1] position
Central Tendencies:
Mean:
Median:
Mode:
Range:
9.8
0.5
0
57
ANÁLISE BIVARIADA
Macroconcept of Models to Statistics??
Data Handling
1. Collection
E.g.:
research, survey
2. Organisation & Display
E.g.:
stem and leaf diagrams, dot diagrams
3. Calculations
-mean
-median
-mode
4. Interpretation
explain meanings of calculations derived from data
Types of Data:
-Discrete--> counting process
E.g. when you count no. of people, the data cannot be 2.5 because there is no "half" person
-Continuous--> measuring process
E.g. while measuring the length of a door, 1.2m is possible
What are models?
Relation to models?
-simplified descriptions (diagrams like "stem & leaf" & "dot") of a system or process (data collection) to assist calculations and predictions (calculations and interpretations).
Use of Models?
-organise
-speed & ease without compromising accuracy
If models aren't used?
-messy display
-hard to comprehend
- hard to keep track of information
2.2 Dot
x-axis refers to types of data values and dots represent no. of data collected for each data value
2.2 Stem and Leaf
show patterns of distribution
Statistics Part 1
done by: Bethanie Lim (2), Fu Xintian (11), Zenn Tan (33), Michelle Zhang (34) [109]