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Statistics Test Review. VOCABULARY. Topic 5: Measures of Spread. - PowerPoint PPT Presentation
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STATISTICSTEST REVIEWTopic 5: Measures of Spread
VOCA
BULA
RY
CHANNEL SETTING INSTRUCTIONS FOR RESPONSECARD RF
1. PRESS AND RELEASE THE "GO" OR "CH" BUTTON.
2. WHILE THE LIGHT IS FLASHING RED AND GREEN, ENTER THE 2 DIGIT CHANNEL CODE (I.E. CHANNEL 1 = 01, CHANNEL 21 = 21).
CHANNEL IS 41
3. AFTER THE SECOND DIGIT IS ENTERED, PRESS AND RELEASE THE "GO" OR "CH" BUTTON. THE LIGHT SHOULD FLASH GREEN TO CONFIRM.
4. PRESS AND RELEASE THE "1/A" BUTTON. THE LIGHT SHOULD FLASH AMBER TO CONFIRM.
AN ICE-BREAKER!First…
PUPPY : DOG :: KITTEN :
tiger lio
n bear
cat
0%
93%
3%3%
1. tiger2. lion3. bear4. cat
VOCABULARY!!Let’s start with…
The largest value of a distribution
0%
0%
4%
0%
89%
7%
0% 1. Minimum2. Upper Quartile3. Maximum4. Lower Quartile5. Mean Absolute Deviation6. Range7. Extremes
The ordinary arithmetic average, found by adding up the values of the observations and dividing by the number of observations.
0%
5%
86%
0%
5%
5%
0% 1. Lower Quartile2. Mean Absolute Deviation3. Range4. Extremes5. Mean6. Median7. Mode
This rule, which applies only to mound-shaped distributions, tells what percent of the data is found within 1, 2, and 3 standard deviations of the mean.
Minim
um
Upper Quarti
le
Maxim
um
Lower Q
uartile
Empiric
al Rule
Z-Sc
ore Rule Range
Extre
mes
0% 0% 0%4%
0%4%
93%
0%
1. Minimum2. Upper Quartile3. Maximum4. Lower Quartile5. Empirical Rule6. Z-Score Rule7. Range8. Extremes
This number indicates how many standard deviations above or below the mean a particular value falls.
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0%
85%
0%
8%
0%
8%
0% 1. Minimum 2. Upper Quartile 3. Maximum 4. Lower Quartile 5. Empirical Rule 6. Z-Score 7. Range 8. Extremes
The middle observation (once the values are arranged in order).
4%
85%
4%4%0%0%0%4%0%
Mean Median Mode Maximum Lower Quar... Empirical ... Z-Score Range Extremes
1. Mean2. Median3. Mode 4. Maximum 5. Lower Quartile
6. Empirical Rule
7. Z-Score 8. Range 9. Extremes
The 25th percentile, or the value such that about 25% of the observations fall below it and 75% above it.
4%
4%
4%
57%
4%
25%
4%1. Minimum
2. Upper Quartile
3. Maximum
4. Lower Quartile
5. Empirical Rule
6. Range
7. Extremes
THE SMALLEST VALUE OF A DISTRIBUTION
95%
0%0%0%0%0%5% 0%
Minimum Upper Quartile Maximum Lower Quartile Empirical Rule Z-Score Range Extremes
1. Minimum 2. Upper Quartile
3. Maximum 4. Lower Quartile
5. Empirical Rule
6. Z-Score 7. Range 8. Extremes
A very simple, but not particularly useful, measure of variability found by calculating the difference between the maximum and minimum values in the data.
Minim
um
Upper Quarti
le...
Maxim
um
Lower Q
uartile...
Empiric
al Rule...
Z-Sc
ore
Range
Extre
mes
0% 0% 0% 0%
92%
4%4%0%
1. Minimum 2. Upper Quartile
3. Maximum 4. Lower Quartile
5. Empirical Rule
6. Z-Score 7. Range 8. Extremes
The most common value, i.e., the one that occurs most frequently.
100%
0%
0%
0%
0%
0%
0%
0% 1. Minimum 2. Upper Quartile 3. Maximum 4. Lower Quartile 5. Mean6. Median 7. Range 8. Mode
Comprised of the median, quartiles, and extremes of a distribution. This provides a quick and convenient description of where the 4 quarters of the data fall.
77%
18% 0%5%
5 Number Summary Box-and-Whisker P... Mean Absolute Dev... Standard Deviation
1. 5 Number Summary
2. Box-and-Whisker Plot
3. Mean Absolute Deviation (MAD)
4. Standard Deviation
A widely used measure of variability found by calculating the difference between the mean and each observation, squaring that value for each observation, adding the squares, dividing the sum by one less than the sample size, and then taking the square root of the result.
13%0%4%
83%
Mean Absolute Dev... Deviation Z-Score Standard Deviation
1. Mean Absolute Deviation
2. Deviation3. Z-Score4. Standard
Deviation
Comprised of the maximum and the minimum of a distribution.
10%
0%
90%
0%
0%1. Maximum
2. Minimum
3. Extremes
4. 5 Number summary
5. Z-Score
The range of the middle 50% of the data.
0%
95%
0%5%
Range Inter-Quar... Lower Quar... Upper Quar...
1. Range2. Inter-Quartile
Range3. Lower Quartile4. Upper Quartile
Data displays this because the values assumed by a variable differ form observational unit to observational unit.1. Variability2. Data3. Bumpiness4. Variety5. Center
74%5%
16%5%0%
The 5-number summary forms the basis for this visual display.
Histogram
5 Number Summa..
.
Boxplot
Stem and Le
af ...
0%8%
84%
8%
1. Histogram2. 5 Number
Summary3. Boxplot4. Stem and Leaf
Plot
A rarely used measure of variability found by taking the mean of the absolute deviations from the mean.
81%
0%
6%
0%
13% 1. Z-Score2. Deviation3. Standard Deviation4. Range5. Mean Absolute Deviation
The number of observations, n.
0%
97%
0%
3% 0%
Sample Sample Size Symmetric Empirical Rule Variability
1. Sample2. Sample Size3. Symmetric4. Empirical Rule5. Variability
