(Qualitative) Categorical data: The make of a car. (Quantitative ...
(Qualitative) Categorical data: The make of a car. Nominal: No particular order or ranking. Do you have allergies? Marital Status. What sport you play. Eye color. Car brand. Country. Ordinal: There is a natural order to the data. 80%>70% Professor > Lecturer. Gold medal > silver. Excellent > poor service.
(Quantitative) Numerical Data: km/h. # of seats. Rolling a die Interval: Data has a unit of measure. 0 is arbitrary. It can exist Temperature. IQ. SAT score. Ratio: 0 means the absence of data. # of vacations you’ve taken Distance from home. Gas price. Size of house. $. Height. Weight (#of red race car: Nominal) (mt. Everest height above sea level: interval cont.)Continuous: Infinite Numbers. Speed of car. Height of person. (Height w/o shoes: ratio continuous) (year you graduated: interval) Discrete: Limited values. # of sexes. # of seats. Rolling a die (In what "gate" was the number 7 horse in the 5th race: Ordinal) (highest lvl of education: HS, college/uni, master, PHD, technical: nominal) (rate overall health on a “5 point scale: ordinal) (shoe size: ratio discrete) (age on your last birthday: ratio discrete) (whats ur IQ: interval discrete)
Mean (average) = Total of values / Total # of values Median (middle value): Find rank: n+1/2. Use that rank to find median in list. Mode (# that comes most)
Skew Left.
No Skew.
Skewed Right.
Frequency Distribution: 5-10 classes Class Width = Range/# of classes = (largest-smallest)/5 - Round to nice number Nice Numbers = 1 2 2.5 5 10 20 25 50 100 200 250 500 1000 Lower
Stem and Leaf 6 to 13 Stems. First and last stem must have a leaf. REMEMBER TITLE Stem Leaf(10) (100) Mode = 5 -2 210 Skewed Right -1 953211 -090, -070, -010, -000 -0 9700 020,030,040 0 234 1 200 240 246 2 044
-
Upper
Freq. (#
Relat.
%
Cumulative
Limit
-
Limit
of cars)
Freq.
Distrib.
%
80
and below
90
1
0.025
2.5
2.5
90
“
100
12
0.3
30
32.5
100
“
110
14
0.35
35
67.5
110
“
120
3
0.075
7.5
75
120
“
130
4
0.1
10
85
130
“
140
6
0.15
15
100
40
1.000
100%
-
Percentile 1) arrange in ascending order 2) Calculate rank of PK PK=(n*K/100) +1/2 n=# of elements. K = percentile 0.25 and 0.75. Round up if K>50 0.25 and 0.75. Round down if K
(Quantitative) Numerical Data: km/h. # of seats. Rolling a die Interval: Data has a unit of measure. 0 is arbitrary. It can exist Temperature. IQ. SAT score. Ratio: 0 means the absence of data. # of vacations you’ve taken Distance from home. Gas price. Size of house. $. Height. Weight (#of red race car: Nominal) (mt. Everest height above sea level: interval cont.)Continuous: Infinite Numbers. Speed of car. Height of person. (Height w/o shoes: ratio continuous) (year you graduated: interval) Discrete: Limited values. # of sexes. # of seats. Rolling a die (In what "gate" was the number 7 horse in the 5th race: Ordinal) (highest lvl of education: HS, college/uni, master, PHD, technical: nominal) (rate overall health on a “5 point scale: ordinal) (shoe size: ratio discrete) (age on your last birthday: ratio discrete) (whats ur IQ: interval discrete)
Mean (average) = Total of values / Total # of values Median (middle value): Find rank: n+1/2. Use that rank to find median in list. Mode (# that comes most)
Skew Left.
No Skew.
Skewed Right.
Frequency Distribution: 5-10 classes Class Width = Range/# of classes = (largest-smallest)/5 - Round to nice number Nice Numbers = 1 2 2.5 5 10 20 25 50 100 200 250 500 1000 Lower
Stem and Leaf 6 to 13 Stems. First and last stem must have a leaf. REMEMBER TITLE Stem Leaf(10) (100) Mode = 5 -2 210 Skewed Right -1 953211 -090, -070, -010, -000 -0 9700 020,030,040 0 234 1 200 240 246 2 044
-
Upper
Freq. (#
Relat.
%
Cumulative
Limit
-
Limit
of cars)
Freq.
Distrib.
%
80
and below
90
1
0.025
2.5
2.5
90
“
100
12
0.3
30
32.5
100
“
110
14
0.35
35
67.5
110
“
120
3
0.075
7.5
75
120
“
130
4
0.1
10
85
130
“
140
6
0.15
15
100
40
1.000
100%
-
Percentile 1) arrange in ascending order 2) Calculate rank of PK PK=(n*K/100) +1/2 n=# of elements. K = percentile 0.25 and 0.75. Round up if K>50 0.25 and 0.75. Round down if K
