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Example 5-2b Objective Construct and interpret stem-and-leaf plots

Example 5-2b Vocabulary Stem-and-leaf plot Data is organized from least to greatest and placed in a t-chart

Example 5-2b Vocabulary Leaf The digits of the least place value of the data set Leaf

Example 5-2b Vocabulary Stem The larger place value digits Stem

Lesson 5 Contents Example 1Construct a Stem-and-Leaf Plot Example 2Analyze Data Example 3Make Conclusions About Data

Example 5-1a BASEBALL The table below shows the number of home runs that Babe Ruth hit during his career from 1914 to Make a stem-and-leaf plot of the data. Source: baberuth.com Home Runs 1/3 Order the data from least to greatest. Begin with the smallest number which is 0 0, 2, 3, 4, 6, 11, 22, 25, 29, 34, 35, 41, 46, 47, 49, 54, 59, 60

Example 5-1a 1/3 0, 2, 3, 4, 6, 11, 22, 25, 29, 34, 35, 41, 41, 46, 46, 46, 47, 49, 54, 54, 59, 60 Draw a stem-and-leaf frame which includes a horizontal line

Example 5-1a 1/3 0, 2, 3, 4, 6, 11, 22, 25, 29, 34, 35, 41, 41, 46, 46, 46, 47, 49, 54, 54, 59, 60 Label headings with “Stem” on the left and “Leaf” on the right Stem Leaf

Example 5-1a 1/3 0, 2, 3, 4, 6, 11, 22, 25, 29, 34, 35, 41, 41, 46, 46, 46, 47, 49, 54, 54, 59, 60 Stem Leaf The stem is the beginning place value of the number Notice most of the numbers have 2 digits so the stem will be the tens place value Tens place value of one digit numbers is zero (0) 0

Example 5-1a 1/3 0, 2, 3, 4, 6, 11, 22, 25, 29, 34, 35, 41, 41, 46, 46, 46, 47, 49, 54, 54, 59, 60 Stem Leaf 0 The next group of numbers have a 1 in the ten’s place 1 Continue with each place value until the end number

Example 5-1a 1/3 0, 2, 3, 4, 6, 11, 22, 25, 29, 34, 35, 41, 41, 46, 46, 46, 47, 49, 54, 54, 59, 60 Stem Leaf 0 The leaf is the one’s place value digit Across from the “0” in the stem, put all the numbers in the 0’s group 0, 2, 3, 4, 6

Example 5-1a 1/3 0, 2, 3, 4, 6, 11, 22, 25, 29, 34, 35, 41, 41, 46, 46, 46, 47, 49, 54, 54, 59, 60 Stem Leaf Across from the “1” in the stem, put all the numbers in the 10’s group 0, 2, 3, 4, 6 1 Across from the “2” in the stem, put all the numbers in the 20’s group 2, 5, 9

Example 5-1a 1/3 0, 2, 3, 4, 6, 11, 22, 25, 29, 34, 35, 41, 41, 46, 46, 46, 47, 49, 54, 54, 59, 60 Stem Leaf Across from the “3” in the stem, put all the numbers in the 30’s group 0, 2, 3, 4, 6 1 Across from the “4” in the stem, put all the numbers in the 40’s group 2, 5, 9 4, 5 1, 1, 6, 6, 6, 7, 9

Example 5-1a 1/3 0, 2, 3, 4, 6, 11, 22, 25, 29, 34, 35, 41, 41, 46, 46, 46, 47, 49, 54, 54, 59, 60 Stem Leaf Make a key for the stem-and-leaf plot 0, 2, 3, 4, 6 1 2, 5, 9 4, 5 1, 1, 6, 6, 6, 7, 9 4, 4, 9 0 Choose a stem number then write “Key” then the stem Key Key 2 Place a vertical line to the right of the stem number Choose a leaf value on the same row as the key Key 2 5

Example 5-1a 1/3 0, 2, 3, 4, 6, 11, 22, 25, 29, 34, 35, 41, 41, 46, 46, 46, 47, 49, 54, 54, 59, 60 Stem Leaf , 2, 3, 4, 6 1 2, 5, 9 4, 5 1, 1, 6, 6, 6, 7, 9 4, 4, 9 0 Key Key 2 Key 2 5 Key 2 5 = 25 Answer:

Example 5-1b BUSINESS The table below shows the number of hours spent aboard an airplane for a survey of business men and women. Make a stem-and-leaf plot of the data Hours Aboard an Airplane 1/3

Example 5-1b Answer: LeafStem Key 1|3 = 13 hours 1/3

Example 5-2a FITNESS The stem-and-leaf plot below shows the number of miles that Megan biked each day during July. Find the range, median, and mode of the data LeafStem 2|5 = 25 miles Range = greatest - least Range = Range = 25 miles 2/3 Subtract

Example 5-2a FITNESS The stem-and-leaf plot below shows the number of miles that Megan biked each day during July. Find the range, median, and mode of the data LeafStem 2|5 = 25 miles 2/3

Example 5-2a LeafStem 2|5 = 25 miles 2/3 Order the numbers from least to greatest 5, 5, 5, 6, 10, 10, 10, 10, 11, 12, 12, 15, 18, 18, 19, 21, 22, 25, 28, 30 Count how many numbers there are 20 numbers Divide 20 by 2 since median is the middle Underline the first 10 numbers Underline the last 10 numbers

Example 5-2a LeafStem 2|5 = 25 miles 2/3 There are 2 middle numbers 5, 5, 5, 6, 10, 10, 10, 10, 11, 12, 12, 15, 18, 18, 19, 21, 22, 25, 28, 30 Find the mean of the 2 middle numbers However, since the numbers are the same then 12 is the median Median = 12

Example 5-2a FITNESS The stem-and-leaf plot below shows the number of miles that Megan biked each day during July. Find the range, median, and mode of the data LeafStem 2|5 = 25 miles Mode = Number(s) that occur most often 3 5’s Mode = ’s 2/3

Example 5-2a Answer: Range = 25 miles Median = 12 miles Mode = 10 miles 2/3 Make sure you put in your dimensional analysis

Example 5-2b SNOWFALL The stem-and-leaf plot below shows the number of inches of snow that fell in Hightown during the month of January for the past 15 years. Find the range, median, and mode. Answer: Range = 25 inches; Median = 10 inches; Mode = 10 inches Leaf Stem 1|2 = 12 inches 2/3

Example 5-3a ANIMALS The table shows the average life span of several animals. Make a stem-and-leaf plot of the data. Then use it to describe how the data are spread out. 15Zebra10Giraffe20Chimpanzee 16Tiger40Elephant12Cat 10Squirrel12Dog12Camel 3Mouse8Deer20Polar Bear 20Horse15Cow18Black Bear 4Guinea Pig6Chipmunk20Baboon YearsAnimalYearsAnimalYearsAnimal 3/3 Order numbers in order from least to greatest 3, 4, 6, 8, 10, 10, 12, 12, 12, 15, 15, 16, 18, 20, 20, 20, 20, 40

Example 5-3a LeafStem 3/3 3, 4, 6, 8, 10, 10, 12, 12, 12, 15, 15, 16, 18, 20, 20, 20, 20, 40 Make stem-and-leaf frame and label

Example 5-3a LeafStem 3/3 3, 4, 6, 8, 10, 10, 12, 12, 12, 15, 15, 16, 18, 20, 20, 20, 20, 40 Make your stem numbers in which will be the 10’s place value Make your leaf with each stem , 4, 6, 8,10, 10, 12, 12, 12, 15, 15, 16, 1820, 20, 40

Example 5-3a LeafStem 3/3 Make a key and label |0 = 10 years Describe data by stating the range and where the most data is located Range = Range = 37 Most of the data is in the 10’s

Example 5-3a Answer: LeafStem 1|0 = 10 years Most of the animals had a lifespan of years Range = 37 years 3/3

Example 5-2b TEST SCORES The table below shows the test scores earned by a class of middle school math students on a chapter test. Make a stem-and-leaf plot of the data. Then use it to describe how the data are spread out Test Scores * 3/3

Example 5-2b Most of the students scored in the 80’s and 90’s Range = 38 and there is an outlier of 58 Answer: LeafStem 7|5 = 75 points 3/3

End of Lesson 5 Assignment Lesson 2:5Stem-and-Leaf Plots All