Download Data Analysis and Probability

Data Analysis and Probability
Chapter 12
12.2 Frequency and Histograms
Pg. 732 – 737
 Obj: Learn how to make and interpret
frequency tables and histograms.
 Content Standards: S.ID.1 and N.Q.1

12.2 Frequency and Histograms
Frequency – the number of data values in
an interval
 Frequency Table – groups a set of data
values into intervals and shows the
frequency for each interval
 Histogram – a graph that can display data
from a frequency table
 Cumulative Frequency Table – shows the
number of data values that lie in or below
a given interval

12.3 Measures of Central Tendency
and Dispersion
Pg. 738 – 744
 Obj: Learn how to find mean, median,
mode, and range.
 Content Standards: S.ID.2, S.ID.3, and
N.Q.2

12.3 Measures of Central Tendency
and Dispersion
Measures of Central Tendency – mean,
median, and mode
 Outlier – a data value that is much
greater or less than the other values in
the set
 Mean – sum of the data values/total
number of data values
 Median – the middle value of a data set
when the values are arranged in order

12.3 Measures of Central Tendency
and Dispersion
Mode – the data item that occurs most
often
 Measure of Dispersion – describes how
spread out the data values are
 Range of a set of data – the difference
between the greatest and least data
values

12.4 Box-and-Whisker Plots
Pg. 746 – 751
 Obj: Learn how to make and interpret
box-and-whisker plots and to find
quartiles and percentiles.
 Content Standards: S.ID.2, N.Q.1, and
S.ID.1

12.4 Box-and-Whisker Plots
Quartiles – values that divide a data set
into four equal parts
 Interquartile Range – the difference
between the third and first quartiles
 Method for Summarizing a Data Set

◦ Arrange the data set in order from least to
greatest
◦ Find the minimum, maximum, and median
◦ Find the first quartile and third quartile
12.4 Box-and-Whisker Plots
Box-and-Whisker Plot – a graph that
summarizes a set of data by displaying it
along a number line
 Percentiles – separate data sets into 100
equal parts
 Percentile Rank – the percentage of data
values that are less than or equal to the
value

12.7 Theoretical and Experimental
Probability
Pg. 769 – 774
 Obj: Learn how to find theoretical and
experimental probability.
 Content Standards: S.CP.1 and S.CP.4

12.7 Theoretical and Experimental
Probability
Outcome – the result of a single trial
 Sample Space – all the possible outcomes
 Event – any outcome or group of
outcomes
 Probability – tells you how likely it is that
the event will occur

12.7 Theoretical and Experimental
Probability

Theoretical Probability
number of favorable outcomes
P(event) 
number of possible outcomes

Complement of an Event – consists of all
outcomes in the sample space that are
not in the event
12.7 Theoretical and Experimental
Probability

Odds
Favorable
Odds in Favor 
Unfavorabl e
Unfavorabl e
Odds Against 
Favorable
12.8 Probability of Compound
Events
Pg. 776 – 782
 Obj: Learn how to find probabilities of
mutually exclusive, inclusive, independent,
and dependent events.
 Content Standards: S.CP.7 and S.CP.8

12.8 Probability of Compound
Events
Compound Event – consists of two or
more events linked by the word “and” or
the word “or”
 Mutually Exclusive Events

◦ P(A or B) = P(A) + P(B)

Inclusive or Overlapping Events
◦ P(A or B) = P(A) + P(B) – P(A and B)

Independent Events
◦ P(A and B) = P(A) ∙ P(B)
12.8 Probability of Compound
Events

Dependent Events
◦ P(A then B) = P(A) ∙ P(B after A)