8.1 Stem-and-Leaf Plots
English8.1SpanishStem-and-Leaf PlotsHow can you use a stem-and-leaf plotSSTATESTANDARDSto organize a set of numbers?MA.7.S.6.21ACTIVITY: Decoding a ��3920–290–910–19Work with a partner. You intercept a secret message that contains twodifferent types of plots. You suspect that each plot represents the same data.The graph with the dots indicates only ranges for the numbers.00 1 2 2 3 4 4 7 8 912 2 5 6 7 8 922 2 6 8 935 8 942 754 562 7 872 3 6 7 9 982 2 4 5 5 6 8 991 1 1 1 1 1 2 2 2 2 3 3a. How many numbers are in the data set? How can you tell?b. How many numbers are greater than or equal to 90? How can you tell?c. Is 91 in the data set? If so, how many times is it in the set? How can you tell?d. Make a list of all of the numbers in the data set.e. You intercept a new secret message. Use the secret code shown below todecode the message.Secret CodeA 29B 33C 7D 20E 15348Chapter 8F 31G 8H 16I 5J 1132 16 152 32 15 2232 16 1526 15 29 17 15 2Data Analysis and SamplesK 18L 26M 22N 3O 92 16 9 12 2P 4Q 10R 21S 2T 32U 19V 17W 12X 25Y 13Z 132 16 152 16 9 1232 15 332 16 15923 15 2
EnglishSpanish2ACTIVITY: Organizing DataWork with a partner. You are workingon an archeological dig. You findseveral 853736242404550342654607250 mmAs you find each arrowhead, you measure its length (in millimeters)and record it in a notebook.a. Use a stem-and-leaf plot to organize the lengths.b. Find the mean length.c. Find the median length.d. Describe the distribution of the data.3ACTIVITY: Conducting an ExperimentWork with a partner. Use two number cubesto conduct the following experiment. Toss the cubes four times and totalthe results.Sample: 2 3 2 2 3 5 6 3 261sttoss2ndtoss3rdtoss4thtoss1So, 26 is the first number. Repeat this process 29 more times. Use a stem-and-leaf plot to organize your results. Describe your results.4. IN YOUR OWN WORDS How can you use a stem-and-leaf plot toorganize a set of numbers?5. RESEARCH Find a career in which a person collects and organizesdata. Describe how data are collected and organized in that career.Use what you learned about stem-and-leaf plots to completeExercises 4 –7 on page 352.Section 8.1Stem-and-Leaf Plots349
English8.1SpanishLessonLesson TutorialsKey Vocabularystem-and-leaf plot,p. 350stem, p. 350leaf, p. 350Stem-and-Leaf PlotsA stem-and-leaf plot uses the digits ofdata values to organize a data set. Eachdata value is broken into a stem (digit ordigits on the left) and a leaf (digit or digitson the right).Stem2345A stem-and-leaf plot shows how dataare distributed.The key explains what thestems and leaves represent.EXAMPLE1Leaf0 0 1 2 5 71 4 828 9Key: 2 0 20Making a Stem-and-Leaf PlotMake a stem-and-leaf plot of the length of the 12 cell phone calls.Step 1: Order the data.2, 3, 5, 6, 10, 14, 18, 23, 23, 30, 36, 55Step 2: Choose the stems and leaves. Because the data valuesrange from 2 to 55, use the tens digits for the stems andthe ones digits for the leaves.Step 3: Write the stems to the left of the vertical line.Step 4: Write the leaves for each stem to the right of the vertical line.Phone call lengthsOrder the stems vertically.The stem for data valuesless than 10 is 0.StemLeaf012345Include stemswithout leaves.2030Write the leaveshorizontally.3 5 64 8365Key: 1 4 14 minutes1. Make a stem-and-leaf plot of the hair lengths.Hair Length (centimeters)Exercises 8–11350Chapter 85120122723057384047121324443323Data Analysis and Samples
EnglishSpanishEXAMPLE2Interpreting a Stem-and-Leaf PlotTest ScoresStem678910Leaf60 5 7 81 1 3 4 4 6 8 8 90 2 90Key: 9 2 92 pointsThe stem-and-leaf plot shows student test scores. (a) How manystudents scored less than 80 points? (b) How many studentsscored at least 90 points? (c) How are the data distributed?a. There are five scores less than 80 points:66, 70, 75, 77, and 78.Five students scored less than 80 points.b. There are four scores of at least 90 points:90, 92, 99, and 100.Four students scored at least 90 points.c. There are few low test scores and few high test scores.So, most of the scores are in the middle.2. Use the grading scale at the right.Exercises 16–19A:B:C:D:F:a. How many students received a B onthe test?b. How many students received a C onthe test?EXAMPLE390 –10080 – 8970 –7960 – 6959 and belowStandardized Test PracticeWhich statement is not true?A Most of the plants are less Plant HeightsStemthan 20 inches tall.B The median plant height is 11 inches.C The range of the plant heights is 35 inches.0123Leaf1 2 4 5 6 8 90 1 1 5 72 56Key: 1 5 15 inchesD The plant height that occurs most often is 11 inches.There are 15 plant heights. So, the median is the eighthdata value, 10 inches.The correct answer is B .3. You are told that three plants are taller than 20 inches.Is the statement true? Explain.Section 8.1Stem-and-Leaf Plots351
EnglishSpanishExercises8.1Help with Homework1. VOCABULARY The key for a stem-and-leaf plot is 3 4 34. Which numberis the stem? the leaf ?2. WRITING Describe how to make a stem-and-leaf plot for the data values14, 22, 9, 13, 30, 8, 25, and 29.3. WRITING How does a stem-and-leaf plot show the distribution of data?6) 39 (- 3) 3 (- 9) 4 (- 1)9 (-Use the stem-and-leaf plot at the right.Stem012344. How many data values are in the set?5. What is the least value? greatest value?6. What is the median? range?7. Is the value 32 in the set? Explain.Leaf4 6 803 40 6 6 92Key: 3 6 36Make a stem-and-leaf plot of the data.18.9.Books ReadHours 0.11.Test Scores (%)Points 809062427056584312. ERROR ANALYSIS Describe and correct the errorin making a stem-and-leaf plot of the data.51, 25, 47, 42, 55, 26, 50, 44, 55 Stem245Leaf5 62 4 70 1 5 5Key: 4 2 4213. PUPPIES The weights (in pounds) of eight puppiesat a pet store are 12, 24, 17, 8, 18, 31, 24, and 15.Make a stem-and-leaf plot of the data. Describe thedistribution of the data.352Chapter 8Data Analysis and Samples
EnglishSpanishMake a stem-and-leaf plot of the data.14.15.Bikes SoldMinutes in 81991081.62.03.12.9VOLLEYBALL The stem-and-leaf plot shows thenumber of digs for the top 15 volleyball playersat a recent women’s AVP Miami Open.Stem4567892 16. How many players had more than 60 digs?17. Find the mean, median, mode, and range of the ddata.18. Describe the distribution of the data.Leaf1 1 3 3 50 2 3 42 3 3 757Key: 5 0 50 digs19. Which data value is the outlier? Describe how theoutlier affects the mean.20. RESEARCH Use the Internet to find the heights of theplayers on your favorite professional sports team.a. Make a stem-and-leaf plot of the data.b. Analyze the stem-and-leaf plot and make two conclusions about the heights.OP21. OPEN-ENDEDDescribe a real-life situation witheig data values that has a median of 33. Makeeightsta stem-and-leafplot of the data.22.Bowling 119136125Draw the solid.Make a frequency table anda stem-and-leaf plot of the bowling scoresin the table. Compare and contrast the twodata displays. Which display is better forshowing how the data are distributed?Explain.SECTION 6.123. Square pyramid24. Hexagonal prism25. Cone26. Cylinder27. MULTIPLE CHOICE In a bar graph, what determines the length of each bar?SKILLS REVIEW HANDBOOKA Frequency B Data value C Leaf Section 8.1D Change in dataStem-and-Leaf Plots353
350 Chapter 8 Data Analysis and Samples 8.1 Lesson Key Vocabulary stem-and-leaf plot, p. 350 stem, p. 350 leaf, p. 350 Stem-and-Leaf Plots A stem-and-leaf plot uses the digits of data values to organize a data set. Each data value is broken into a stem (d
Grazing, weed pressure and pest control in pastures will affect pasture growth potential. The following elements are essential for pasture growth Figure 1. How a perennial rye grass plant grows. leaf 1 leaf 1 leaf 1 leaf 1 (oldest leaf) dying leaf 2 leaf 2 leaf 2 leaf 3 leaf 4 leaf 3 remnant leaf WSC used for growth of new leaf root growth stops
Interpret Stem and Leaf Plots Sample Problem 3: Use the stem and leaf plot to find the data and answer the questions. Making a Back-to-Back Stem and Leaf Plot The back-to-back stem and leaf plots are used to compare two distributions side-by-side. This type of back-to-back stem and leaf plot contains three columns, each separated by a vertical .
Structure of Leaf (I) Bifacial leaf and isolateral leaf Bifacial leaf: In general, the upper surface of the leaf (ventral surface or . the leaves in the upper part of a plant have more stomata than the lower part does, leaf apex and midrib have more stomata . epidermis encircle a guard cell irregularly, such as watermelon and vicia faba.
Stem-and-Leaf Plot In a stem-and-leaf plot , each number is separated into a stem (usually the entry’s leftmost digits) and a leaf (usually the rightmost digit). This is an example of exploratory data analysis . Example : The following data represents the ages of 30 students in a statistics class. Display the data in a stem-and-leaf plot.
Description of the Golden LEAF STEM Initiative Grantees The 14 Golden LEAF STEM Initiative grantees are similar in their broad characteristics and goals, but vary in both size and strategy. Golden LEAF STEM Initiative participants include 1,192 teachers and 31,889 students from 116 elementary schools, 88 middle schools, and 18 high
1935-1940 Ford Car & 1935-1941 Ford Truck Rear Leaf Spring Parts Description Part#: 404-4610-00 #1 Leaf Spring mounting kit includes: U-bolts, leaf pads, 5-hole spring plates with lower shock mount and hardware #2 Leaf Springs: 48" center to center multi-leaf springs #3 Leaf Spring Shock kit: 3-hole upper shock mount (pair), shocks (pair) and .
The mode is the data value that occurs most often. On a stem-and-leaf plot, the mode is the most repeated leaf. The range is the difference between the highest and the lowest data value. Data from a stem-and-leaf plot can be used to determine the mean, median, mode, and range for
CCSS Checklist—Grade 2 Writing 1 Teacher Created Resources Writing Text Types and Purposes Standard Date Taught Date Retaught Date Assessed Date Reassessed Notes ELA-Literacy.W.2.1 Write opinion pieces in which they introduce the topic or book they are writing about, state an opinion, supply reasons that support the opinion, use linking words (e.g., because, and, also) to connect opinion and .
