AP Stats Chapt 1-6

ADVANCED
PLACEMENT
Statistics

, CHAPTER 1: DATA ANALYSIS




*
SECTION 1.2: Displaying Quantitative Data with Graphs
SECTION 1.1: Displaying Categorical Data
leaves
data stem 1234
· the distribution of categorical O




·oooooa.baic
Frequency I counts) 5678
2 115contextis
.
-



33477
key:
A


Relative Frequency (percent/proportion) 589
↑ roblem

34
-


·
015
. . . i
Dotplot Stemplot




EEEEE
& 51015202530
·Two-way table ( stem -
and-leaf plot) ranges

total Histogram
variable 1 the question says...
"Describe the Distribution."
(SOCV + context)
B distribution of contest)
is
N
A - hape: the
I skew/symm, peak, gaps),
& utliers: there seems to be outliers.
Clivia)

-
C-enter: Smean/median) orprinte
The
&context)

has a CSD/IQRI range) (unit)
"Compare the Distribution."
⑭
soav I context




7
you
* will still do the same thing.
both distributions.
-Describe the shape of

For both
distributions.
-Identify any Outlien




*always write the context and units of
the other.
the problem!!!


pie chart
*



Numbers
with

Measures of Center:


Mean:
* average x=Ex
* Median: middle value or the average of

two middle values


Measures of Variability:




favese
Range
*
= max -
min.




Let's OUTLIERS (the Olivia's): standard sx =




talk about *
(Formeans:
outliers.
Cnonresistant) Deviation
Mean & SD are greatly affected by (SD)
*
(resistant) Interquartile (For
(so much) by outliers. med.): FQR = 0s-Q,
& IQR are not affected *
Range & Quartile1(25%)
Median
*
CIQK)
↳
x+
Quartile 3 (75.1)


+ cortest typicalrewarethe
h
SP e
-
Interpreting


med mean
me an mean med.
med

*If there are outliers or the distribution is skewed...

median and IQR. (or not) that describes putation.
are
Use
*Pameter -> a number
-




*If the distribution is roughsymmetrical ...



(or not) that describes a sample
atistic - a number
- use mean and SD. * -




How to FIND OUTLIERS T sample
* mean -> x (x-bar)

M(Greek letter mu)
1.5
* x IOR Rule *population mean -> WHAT IF?

low outlier (01-(1.5x1(1) *sample so -> Sx(ssub x)
what if the min.



03+ (1.5x1(*)
or the max is an


high outlier -
population
* od -> Ox (Greek letter signal outlier, what will
- be your min. Imax?
plot)
variance ->
* (standard deviation)" -> ((x)
(box and-whiskers
BOXPLOTS remove your
-




Five number summary: label them
* · utliers,

O3 minimum on your box plot.
outlier min.
Q med. max. -




the min, is
(quartile 1)
new
x ↓ ↓ ↓ t ↓ - a1 and
the lowest data
* I -
median the new max is
data.
-
03 (quartile 3) the highest
↑ I I I I (((((( ( ( (/)
maximum
variable
-