Transcript 12.3 Box-and-Whisker Plots

Section 12.3
Box-and-Whisker Plots
Objectives: Find the range, quartiles, and
interquartile range for a data set. Make a box
and-whisker plot for a data set.
Standards: 2.6.8E Analyze and display data in boxand-whisker plots.
How to make a Box-and-Whisker Plot on a piece of paper:
1. Arrange the data in order from least to greatest on a number line
2. Compute the mean of the data (Q2)
3. Compute the mean of the lower half of the data (Q1) and the upper
half of the data (Q3)
4. Draw vertical line segments through all three means
5. Draw line segments to connect the tops and bottoms of all three
vertical lines
6. Draw closed circles at the minimum and maximum points of data
*Ex. 2 Find the minimum and maximum values, quartiles,
range, and interquartile range for the set of data below.
Identify any possible outliers.
4, 7, 9, 31, 34, 2, 35, 37, 24, 34, 31, 50,
11, 33, 36, 2, 8, 13, 52, 57,60, 69, 78, 83
How to make a Box-and-Whisker Plot with your
Graphing Calculator:
• STAT, EDIT, L1 (enter your given values), 2nd STAT PLOT,
HIGHLIGHT ON & then hit ENTER, HIGHLIGHT the
box-and-whisker plot & then hit ENTER, X LIST. Make sure
it has L1 , FREQ: 1, then GRAPH.
• If you can not see your Box-and-Whisker Plot, then adjust
your WINDOWS accordingly!
• If you are comparing 2 Box-and-Whisker Plots, you will need
to use L2 and you will need to turn on another STAT PLOT!!
* Ex 2 Refer to the precipitation data below.
a). Make a box-and-whisker plot for the amount of
precipitation in each city.
b). Compare the box-and-whisker plots.
Month
Chicago
L.A.
January
1.53
2.40
February
1.36
2.51
March
2.69
1.98
April
3.64
0.72
May
3.32
0.14
June
3.78
0.03
July
3.66
0.01
August
4.22
0.15
September
3.82
0.31
October
2.41
0.34
November
2.92
1.76
December
2.47
1.66
Writing Activities
PSSA WARM-UP QUESTION 
Algebra II - Chp. 12

Standard 2.6.11 A Complete statistical experiments.

The final grades in mathematics of 35 students at Souderton High
School are shown at the right. Organize the data in a table
(interval, tally, frequency) and display it in a histogram.
82
88
82
75
93
86
98
97
87
65
97
82
74
89
86
84
94
72
93
76
83
68
71
94
77
77
62
90
Standard 2.6.11 I Use the normal
curve.

The grades on Mr. Simpson’s Algebra II final
exam had a normal distribution with a mean
score of 85, and a standard deviation of 3
points. A student earned a B+ or better if he
scored 88 or greater. How can Mr. Simpson
use the properties of the normal curve and the
statistics mean and standard deviation to find
the portion of the class earning a B+ or better?
Review of
Box-and-Whisker Plots
Homework
Pg. 786-787 #8-26 even