box-and-whisker plot categorical data conditional relative frequency

Vocabulary Flash Cards
box-and-whisker plot
Chapter 11 (p. 594)
conditional relative
frequency
Chapter 11 (p. 612)
five-number summary
Chapter 11 (p. 594)
joint frequency
Chapter 11 (p. 610)
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categorical data
Chapter 11 (p. 618)
data transformation
Chapter 11 (p. 589)
interquartile range
Chapter 11 (p. 595)
joint relative frequency
Chapter 11 (p. 611)
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Vocabulary Flash Cards
Data that consists of labels or nonnumerical entries
that can be separated into different categories; also
known as qualitative data
Data Source
A graph that shows the variability of a data set
along a number line using the least value, the
greatest value, and the quartiles of the data
What is your favorite
subject? math
a house
In what state is the house
located? Wisconsin
A procedure that uses a mathematical operation to
change a data set into a different data set
3, 5, 6, 9, 10, 21.
greatest
value
Major in Medical Field
Class
transforms the data set into
whisker
The ratio of a joint relative frequency to the
marginal relative frequency
Adding 5 to each value in the data set
2, 0, 1, 4, 5, 16
third quartile
box
whisker
least
value
a student
Yes
No
Junior
0.18
 0.55
0.33
0.32
 0.48
0.67
Senior
0.15
 0.45
0.33
0.35
 0.52
0.67
Given that a student is not planning to major in a
medical field, the conditional relative frequency
that he or she is a junior is about 48%.
A measure of variation for a data set, which is the
difference of the third quartile and the first quartile
The five numbers that make up a box-and-whisker
plot (least value, first quartile, median, third
quartile, and greatest value)
least value
The interquartile range of the data set is
42  18  24.
first quartile
median
first quartile
Qualitative Data
14,
third quartile
16,
16,
17 ,
18,
first quartile
15, 18, 21, 28, 35, 42, 55
greatest value
median
18,
21
third quartile
See box-and-whisker plot.
The ratio of a frequency that is not in the “total”
row or the “total” column to the number of values
or observations
≈ 0.18
—
680
124
≈ 0.32
—
680
0.50
Senior
101
—
680
236
—
680
0.50
Total
0.33
≈ 0.35
0.67
Studied
Total
Junior
≈ 0.15
219
Student
1
Grade
Class
Major in Medical Field
Yes
No
Each entry in a two-way table
Did Not Study
Passed
21
2
Failed
1
6
joint frequency
joint relative frequency
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Vocabulary Flash Cards
marginal frequency
Chapter 11 (p. 610)
mean
measure of variation
Chapter 11 (p. 587)
misleading graph
Chapter 11 (p. 620)
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Chapter 11 (p. 611)
measure of center
Chapter 11 (p. 586)
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marginal relative frequency
Chapter 11 (p. 586)
median
Chapter 11 (p. 586)
mode
Chapter 11 (p. 586)
Big Ideas Math Algebra 1
Vocabulary Flash Cards
The sum of the joint relative frequencies in a row
or a column
Junior
≈ 0.18
—
680
124
≈ 0.32
—
680
0.50
Senior
101
—
680
236
—
680
0.50
Total
≈ 0.15
0.33
219
≈ 0.35
0.67
Age
12–13 14–15 16–17 Total
Total
Student
Class
Major in Medical Field
Yes
No
The sums of the rows and columns in a two-way
table
Ride Bus
24
12
14
50
Does Not Ride Bus
16
13
21
50
Total
40
25
35
100
1
marginal relative frequency
marginal frequency
A measure that represents the center, or typical
value, of a data set
The sum of a numerical data set divided by the
number of data values
The mean, median, and mode are measures of
center.
The mean of the values 7, 4, 8, and 9 is
The middle number of a numerical data set when
the values are written in numerical order
A measure that describes the spread, or
distribution, of a data set
The median of the data set 24, 25, 29, 33, 38 is 29.
The range and standard deviation are measures of
variation.
7  4  8  9 28

 7.
4
4
A statistical graph that is not drawn appropriately
–2
01
10
20
20
09
–2
–2
08
01
0
9
00
00
–2
20
07
20
1
18,500
18,000
17,500
17,000
16,500
16,000
15,500
8
The mode of the data set 3, 4, 4, 7, 7, 9, 12 are 4
and 7.
Tuition, Room, and Board at All
Colleges and Universities
Average cost
(dollars)
The value or values that occur most often in a data
set
Academic year
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Big Ideas Math Algebra 1
Vocabulary Flash Cards
outlier
Chapter 11 (p. 587)
quantitative data
Chapter 11 (p. 618)
range of a data set
Chapter 11 (p. 587)
qualitative data
Chapter 11 (p. 618)
quartiles
Chapter 11 (p. 594)
standard deviation
Chapter 11 (p. 588)
two-way table
Chapter 11 (p. 610)
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Big Ideas Math Algebra 1
Vocabulary Flash Cards
Data that consists of labels or nonnumerical entries
that can be separated into different categories
Data Source
Qualitative Data
a student
What is your favorite
subject? math
a house
In what state is the house
located? Wisconsin
Values of a box-and-whisker plot that divide a data
set into four equal parts
first quartile, Q1
third quartile, Q3
37, 39, 39, 41, 44, 45, 48
A data value that is much greater than or much less
than the other values in a data set
In the data set 2, 4, 4, 5, 6, 64, the data value 64 is
an outlier.
Data that consist of numbers that represent counts
or measurements
Data Source
Quantitative Data
a student
What is your age? 15
a house
How many bedrooms? 3
median, Q2
A measure of how much a typical value in a
numerical data set differs from the mean
The difference of the greatest value and the least
value of a data set
The standard deviation is given by
The range of the data set 12, 16, 18, 22, 27, 35 is
 
( x1  x ) 2  ( x2  x ) 2    ( xn  x ) 2
n
35  12  23.
where n is the number of values in the data set.
A frequency table that displays data collected from
one source that belong to two different categories
Gender
Fundraiser
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No
Yes
Female
22
51
Male
30
29
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