Objective: 7.4.02 Calculate, use, and interpret the mean,
median, mode, range, frequency distribution, and interquartile
range for a set of data. Essential Question: How can I use stem and
leaf plots to organize and display data?
Slide 3
Vocabulary: Stem & Leaf Plot: (the digit on the right).
Stem & Leaf Plot: a graph that uses the digits of each number
to show the shape of the data; each data value is broken down into
a stem (the digit on the left) and a leaf (the digit on the right).
Stem: the greatest place value common to all the data values is
used for the stem of a stem and leaf plot. Leaf: the second
greatest place value of data in a stem and leaf plot. Stem &
Leaf Plots
Slide 4
Why Stem and Leaf Plots: - We can use stem and leaf plots to
organize large sets of data into one condensed, organized graph -
Later we will use back to back stem and leaf plots to compare
multiple sets of data - Stem and leaf plots provide a visual
representation for data Stem & Leaf Plots
Slide 5
Example 1: Stem & Leaf Plots Use a stem and leaf plot to
graph the following test scores from a recent math test in Mr.
Blues class: 10 9 8 7 LeafStem 7|0 = 70 % 76, 76, 76, 77, 80, 80,
80, 81, 81, 82, 84, 85, 88, 89, 89, 89, 89, and 92 2 0 0 0 1 1 2 4
5 8 9 9 9 9 6 6 6 7
Slide 6
Stem & Leaf Plots Example 2: Stem & Leaf Plots The
table below shows the number of hours spent onboard an airplane for
a survey of businessmen and women. Make stem and leaf plot of the
data. 41802312 7 9 35146112119 6 15269 0132210 Hours Aboard an
Airplane 3 2 1 0 LeafStem 1|3 = 13 hours 5 1 2 3 6 0 1 2 3 4 5 8 9
0 0 4 6 6 7 9 9
Slide 7
Stem & Leaf Plots Example 3: Stem & Leaf Plots The set
of data listed below shows the number of home runs Babe Ruth hit
during his career from 1914 to 1935. Make a stem and leaf plot to
find the mean, median, mode, and range of the data: Home Run Data:
0, 54, 25, 46, 4, 59, 47, 41, 3, 35, 60, 34, 2, 41, 54, 6, 11, 22,
46, 29, 46, and 49.
Slide 8
Stem & Leaf Plots Example 3: Stem & Leaf Plots Home Run
Data: 0, 54, 25, 46, 4, 59, 47, 41, 3, 35, 60, 34, 2, 41, 54, 6,
11, 22, 46, 29, 46, and 49.
Slide 9
Stem & Leaf Plots Example 3: Stem & Leaf Plots Home Run
Data: 0, 54, 25, 46, 4, 59, 47, 41, 3, 35, 60, 34, 2, 41, 54, 6,
11, 22, 46, 29, 46, and 49. 6 5 4 3 2 1 0 LeafStem 2|5 = 25 home
runs 0 4 4 9 1 1 6 6 6 7 9 4 5 2 5 9 1 0 2 3 4 6 Mean 32.5 Median
38 Mode 46 Range 60
Slide 10
Example 4: Stem & Leaf Plots Organize the following set of
data into a stem and leaf plot: Stem & Leaf Plots LeafStem
Slide 11
Real World Example: The table shows the average life-span of
several mammals. Make a stem and leaf plot to describe the spread
and then calculate the measures of central tendency: Stem &
Leaf Plots Source: The World Almanac 15Zebra10Giraffe20Chimpanzee
16Tiger40Elephant12Cat 10Squirrel12Dog12Camel 3Mouse8Deer20Polar
Bear 20Horse15Cow18Black Bear 4Guinea Pig6Chipmunk20Baboon
YearsAnimalYearsAnimalYearsAnimal
Slide 12
Real World Example: The table shows the average life-span of
several mammals. Make a stem and leaf plot to describe the spread
and then calculate the measures of central tendency: Stem &
Leaf Plots
Slide 13
HOMEWORK
Slide 14
Back-to-Back Stem & Leaf Plots
Slide 15
Objective: 7.4.02 Calculate, use, and interpret the mean,
median, mode, range, frequency distribution, and interquartile
range for a set of data. Essential Question: What are some
similarities and difference between a stem and leaf and a double
stem and leaf plot?
Slide 16
Whats So Great About Them: - Yesterday we used different data
to create some stem and leaf plots, which we used to analyze and
discuss data trends - Today we are going to use a different type of
stem and leaf plot to analyze data ITS CALLED A BACK-TO-BACK STEM
AND LEAF PLOT - We can use these to compare multiple data sources
Back-to-Back Stem & Leaf Plots
Slide 17
Example 1: Back-to-Back Stem & Leaf Plots A set of U.S.
Olympic Team Track times are listed below. Create a back-to-back
stem and leaf plot to compare the men and women's times. MEN 47,
43, 45, 44, 38, 37, 39, 53, 52, 46, 47, and 36 WOMEN 57, 53, 55,
54, 48, 47, 49, 53, 52, 46, 47, and 46 Leaf (Men)Stem Leaf (Women)
345 7 8 9 3 4 5 6 7 7 3 9 8 7 7 6 6 7 5 4 3 3 2
Slide 18
Back-to-Back Stem & Leaf Plots Example 2: Back-to-Back Stem
& Leaf Plots All the test scores from the recent Percents Unit
are listed below. They have broken down by boy and girl scores.
Create a Back-to-Back Stem and Leaf Plot to analyze and compare
each data set. BOYS SCORES 99, 36, 16, 23, 69, 58, 59, 21, 53, 19,
21, 82, 30, 85, 70, 81, 66, 42, 53, 52, 22, 56, 43, 57, 88, 80, 53,
86, 64, 84, 68, 79, 57, and 82 GIRLS SCORES 73, 37, 61, 53, 37, 38,
24, 30, 75, 93, 65, 85, 60, 92, 80, 56, 80, 65, 77, 64, 95, 99, 82,
75, 94, 98, 63, 58, 69, 56, 95, 77, and 45
Back-to-Back Stem & Leaf Plots Example 2: Back-to-Back Stem
& Leaf Plots WHAT DOES THIS BACK TO BACK STEM AND LEAF PLOT
TELL US? WHAT CONCLUSIONS CAN WE MAKE ABOUT THIS DATA. BOYS SCORES
99, 36, 16, 23, 69, 58, 59, 21, 53, 19, 21, 82, 30, 85, 70, 81, 66,
42, 53, 52, 22, 56, 43, 57, 88, 80, 53, 86, 64, 84, 68, 79, 57, and
82 GIRLS SCORES 73, 37, 61, 53, 37, 38, 24, 30, 75, 93, 65, 85, 60,
92, 80, 56, 80, 65, 77, 64, 95, 99, 82, 75, 94, 98, 63, 58, 69, 56,
95, 77, and 45 1) The boys data is more spread out less consistent
2) The girls data is more condensed more consistent 3) It looks
like the girls were better prepared