Quantitative: data values with known units Shapes: Histograms

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Quantitative: data values with known units
Shapes:
Histograms: symmetric, skewed, outlier (straggler)
Stem-and-leaf, Stemplot
Dotplots
Modes: unimodal, bimodal, multimodal; uniform (no mode)
Centers:
Median
Mean
Spreads:
range
interquartile range, IQR (25th and 75th percentiles)
5-number summary (0th, 25th, 50th, 75th, 100th percentiles)
standard deviation and variance
Item
#s
- - - - - - - The Data, weights - - - - - - - men
1- 5
6-10
11-15
16-20
21-25
26-27
125
155
165
170
185
225
130
155
165
170
200
330
135
160
170
175
210
135
160
170
180
210
140
165
170
180
220
Some questions:
#1) How would a large outlier affect the centers:
mean, and median?
#2) How would a large outlier affect the dispersion:
range, IQR, and standard deviation?
#3) If a distribution of data is close to uniform then the best
way to measure dispersion of data would be:
the IQR or standard deviation?
#4) When would the picture of the 5-number summary be the
same as the boxplot?
#5) If a unimodal histogram is skewed to large values then
would you expect the mean or the median to be larger?
#6) ... practice CC.
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