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Warm-Up:
Take a book that you have with you. Open to a page and begin
counting the number of words in each of the first 15 sentences
on that page.

  1. Make a frequency table of the data you have collected.

  2. Determine the maximum and minimum number of words in
  your sample.

  3. In this situation, what is the population? Sentences in the book

  4. Do you think your sample is representative of the
  population?
SECTION 1.2
  Stemplots and Dotplots
Essential Question:



How do we create stemplots and dotplots?
Vocabulary:
Distribution:



Stem and Leaf Plot:
(stemplot)



Maximum:

Minimum:

Range:
Vocabulary:
Distribution:    a way to represent data for visual comparison



Stem and Leaf Plot:
(stemplot)



Maximum:

Minimum:

Range:
Vocabulary:
Distribution:    a way to represent data for visual comparison



Stem and Leaf Plot:      a quick way to picture data sets while
(stemplot)            including their numerical values, with the
                        leaf as the last digit and the stem as all
                                       other digits

Maximum:

Minimum:

Range:
Vocabulary:
Distribution:      a way to represent data for visual comparison



Stem and Leaf Plot:         a quick way to picture data sets while
(stemplot)               including their numerical values, with the
                           leaf as the last digit and the stem as all
                                          other digits

Maximum:        the largest value in the data set

Minimum:

Range:
Vocabulary:
Distribution:      a way to represent data for visual comparison



Stem and Leaf Plot:         a quick way to picture data sets while
(stemplot)               including their numerical values, with the
                           leaf as the last digit and the stem as all
                                          other digits

Maximum:        the largest value in the data set

Minimum:        the lowest value in the data set

Range:
Vocabulary:
Distribution:      a way to represent data for visual comparison



Stem and Leaf Plot:         a quick way to picture data sets while
(stemplot)               including their numerical values, with the
                           leaf as the last digit and the stem as all
                                          other digits

Maximum:        the largest value in the data set

Minimum:        the lowest value in the data set

Range: the difference between the max and min value
Clusters:


Gaps:


Outliers:
Clusters: when a group of points are close together


Gaps:


Outliers:
Clusters: when a group of points are close together


Gaps:       when a space exists between data points


Outliers:
Clusters: when a group of points are close together


Gaps:       when a space exists between data points


Outliers:   values that are very different from the rest of the data
Example 1
Collect data on the number shoes students in this class have into a stemplot.




       a. Identify the minimum and maximum number pairs of shoes.



  b. Are there any clusters, gaps, or outliers in the data? Why or why not?
Back-to-back Stemplot:
Back-to-back Stemplot:

                    used to compare two sets of data
             the stem is written in the center of the display,
              with one set of leaves to the right of the stem
             and another set of leaves to the left of the stem
Example 2
  The ages of the Wimbledon tennis champions in the men’s and women’s singles
from 1970 to 1990 are show below. The dot between two stems breaks the stem
 preceding the dot into two parts; for instance, 20-24 and 25-29. The leaves were
                 entered in chronological order from left to right.
                                  Men       Women
                                        1
                                  87 999
                        412242432101 2 1120
                               597576 7898656789
                                    1 3 1103

                                        4
a. Find the range of ages for the men and for the women.




b. How many women were from 25 to 29 years old when they won the
                        championship?



c. How old is the youngest person to win Wimbledon in this time period?
                              and the oldest?




d. Are there any outliers? If so, what ages are they?
a. Find the range of ages for the men and for the women.
         Men: 31 - 17 = 14



b. How many women were from 25 to 29 years old when they won the
                        championship?



c. How old is the youngest person to win Wimbledon in this time period?
                              and the oldest?




d. Are there any outliers? If so, what ages are they?
a. Find the range of ages for the men and for the women.
         Men: 31 - 17 = 14                      Women: 33 - 19 = 14



b. How many women were from 25 to 29 years old when they won the
                        championship?



c. How old is the youngest person to win Wimbledon in this time period?
                              and the oldest?




d. Are there any outliers? If so, what ages are they?
a. Find the range of ages for the men and for the women.
         Men: 31 - 17 = 14                      Women: 33 - 19 = 14



b. How many women were from 25 to 29 years old when they won the
                        championship?

                                      10

c. How old is the youngest person to win Wimbledon in this time period?
                              and the oldest?




d. Are there any outliers? If so, what ages are they?
a. Find the range of ages for the men and for the women.
         Men: 31 - 17 = 14                      Women: 33 - 19 = 14



b. How many women were from 25 to 29 years old when they won the
                        championship?

                                      10

c. How old is the youngest person to win Wimbledon in this time period?
                              and the oldest?

            youngest: 17


d. Are there any outliers? If so, what ages are they?
a. Find the range of ages for the men and for the women.
         Men: 31 - 17 = 14                      Women: 33 - 19 = 14



b. How many women were from 25 to 29 years old when they won the
                        championship?

                                      10

c. How old is the youngest person to win Wimbledon in this time period?
                              and the oldest?

            youngest: 17                             oldest: 33


d. Are there any outliers? If so, what ages are they?
a. Find the range of ages for the men and for the women.
         Men: 31 - 17 = 14                      Women: 33 - 19 = 14



b. How many women were from 25 to 29 years old when they won the
                        championship?

                                      10

c. How old is the youngest person to win Wimbledon in this time period?
                              and the oldest?

            youngest: 17                             oldest: 33


d. Are there any outliers? If so, what ages are they?

                                No outliers
Frequency:




Dotplot: (dot-frequency diagram)
Frequency: the number of times that the item or event occurs




Dotplot: (dot-frequency diagram)
Frequency: the number of times that the item or event occurs




Dotplot: (dot-frequency diagram) each data point is represented as a dot
Example 3
    Collect data on the number of siblings of students in this class and
                         represent it in a dotplot.
a. How many students are in your class?


b. How many students have one sibling?

c. How many students are an only child?

d. How many students have four or more siblings?
Homework


 page 16-18 #1-23

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Creating Stem-and-Leaf Plots and Dotplots

  • 1. Warm-Up: Take a book that you have with you. Open to a page and begin counting the number of words in each of the first 15 sentences on that page. 1. Make a frequency table of the data you have collected. 2. Determine the maximum and minimum number of words in your sample. 3. In this situation, what is the population? Sentences in the book 4. Do you think your sample is representative of the population?
  • 2. SECTION 1.2 Stemplots and Dotplots
  • 3. Essential Question: How do we create stemplots and dotplots?
  • 4. Vocabulary: Distribution: Stem and Leaf Plot: (stemplot) Maximum: Minimum: Range:
  • 5. Vocabulary: Distribution: a way to represent data for visual comparison Stem and Leaf Plot: (stemplot) Maximum: Minimum: Range:
  • 6. Vocabulary: Distribution: a way to represent data for visual comparison Stem and Leaf Plot: a quick way to picture data sets while (stemplot) including their numerical values, with the leaf as the last digit and the stem as all other digits Maximum: Minimum: Range:
  • 7. Vocabulary: Distribution: a way to represent data for visual comparison Stem and Leaf Plot: a quick way to picture data sets while (stemplot) including their numerical values, with the leaf as the last digit and the stem as all other digits Maximum: the largest value in the data set Minimum: Range:
  • 8. Vocabulary: Distribution: a way to represent data for visual comparison Stem and Leaf Plot: a quick way to picture data sets while (stemplot) including their numerical values, with the leaf as the last digit and the stem as all other digits Maximum: the largest value in the data set Minimum: the lowest value in the data set Range:
  • 9. Vocabulary: Distribution: a way to represent data for visual comparison Stem and Leaf Plot: a quick way to picture data sets while (stemplot) including their numerical values, with the leaf as the last digit and the stem as all other digits Maximum: the largest value in the data set Minimum: the lowest value in the data set Range: the difference between the max and min value
  • 11. Clusters: when a group of points are close together Gaps: Outliers:
  • 12. Clusters: when a group of points are close together Gaps: when a space exists between data points Outliers:
  • 13. Clusters: when a group of points are close together Gaps: when a space exists between data points Outliers: values that are very different from the rest of the data
  • 14. Example 1 Collect data on the number shoes students in this class have into a stemplot. a. Identify the minimum and maximum number pairs of shoes. b. Are there any clusters, gaps, or outliers in the data? Why or why not?
  • 16. Back-to-back Stemplot: used to compare two sets of data the stem is written in the center of the display, with one set of leaves to the right of the stem and another set of leaves to the left of the stem
  • 17. Example 2 The ages of the Wimbledon tennis champions in the men’s and women’s singles from 1970 to 1990 are show below. The dot between two stems breaks the stem preceding the dot into two parts; for instance, 20-24 and 25-29. The leaves were entered in chronological order from left to right. Men Women 1 87 999 412242432101 2 1120 597576 7898656789 1 3 1103 4
  • 18. a. Find the range of ages for the men and for the women. b. How many women were from 25 to 29 years old when they won the championship? c. How old is the youngest person to win Wimbledon in this time period? and the oldest? d. Are there any outliers? If so, what ages are they?
  • 19. a. Find the range of ages for the men and for the women. Men: 31 - 17 = 14 b. How many women were from 25 to 29 years old when they won the championship? c. How old is the youngest person to win Wimbledon in this time period? and the oldest? d. Are there any outliers? If so, what ages are they?
  • 20. a. Find the range of ages for the men and for the women. Men: 31 - 17 = 14 Women: 33 - 19 = 14 b. How many women were from 25 to 29 years old when they won the championship? c. How old is the youngest person to win Wimbledon in this time period? and the oldest? d. Are there any outliers? If so, what ages are they?
  • 21. a. Find the range of ages for the men and for the women. Men: 31 - 17 = 14 Women: 33 - 19 = 14 b. How many women were from 25 to 29 years old when they won the championship? 10 c. How old is the youngest person to win Wimbledon in this time period? and the oldest? d. Are there any outliers? If so, what ages are they?
  • 22. a. Find the range of ages for the men and for the women. Men: 31 - 17 = 14 Women: 33 - 19 = 14 b. How many women were from 25 to 29 years old when they won the championship? 10 c. How old is the youngest person to win Wimbledon in this time period? and the oldest? youngest: 17 d. Are there any outliers? If so, what ages are they?
  • 23. a. Find the range of ages for the men and for the women. Men: 31 - 17 = 14 Women: 33 - 19 = 14 b. How many women were from 25 to 29 years old when they won the championship? 10 c. How old is the youngest person to win Wimbledon in this time period? and the oldest? youngest: 17 oldest: 33 d. Are there any outliers? If so, what ages are they?
  • 24. a. Find the range of ages for the men and for the women. Men: 31 - 17 = 14 Women: 33 - 19 = 14 b. How many women were from 25 to 29 years old when they won the championship? 10 c. How old is the youngest person to win Wimbledon in this time period? and the oldest? youngest: 17 oldest: 33 d. Are there any outliers? If so, what ages are they? No outliers
  • 26. Frequency: the number of times that the item or event occurs Dotplot: (dot-frequency diagram)
  • 27. Frequency: the number of times that the item or event occurs Dotplot: (dot-frequency diagram) each data point is represented as a dot
  • 28. Example 3 Collect data on the number of siblings of students in this class and represent it in a dotplot. a. How many students are in your class? b. How many students have one sibling? c. How many students are an only child? d. How many students have four or more siblings?