The document discusses how to create and interpret stem-and-leaf plots and dot plots, including defining key terms like median, quartiles, and outliers. Examples are provided to demonstrate how to construct these different types of plots using sample data on topics like student's number of siblings and tennis player's ages. Instructions are given for analyzing the plots to find values like range and identify clusters or gaps in the data.
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?
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?