Histograms and Stem-and-Leaf Plots

1. SECTION 1-3
Histograms and Stem-and-Leaf Plots

2. Essential Questions
How do you use and create histograms to solve
problems?
How do you use and create stem-and-leaf plots to solve
problems?
Where you’ll see this:
Education, statistics, inventory, sports,
entertainment

3. Vocabulary
1. Frequency:
2. Histogram:
3. Stem-and-leaf Plot:
4. Outliers:
5. Clusters:
6. Gaps:

4. Vocabulary
1. Frequency: Shows the number of times a number appears or
numbers in an interval appear
2. Histogram:
3. Stem-and-leaf Plot:
4. Outliers:
5. Clusters:
6. Gaps:

5. Vocabulary
1. Frequency: Shows the number of times a number appears or
numbers in an interval appear
2. Histogram: A bar graph with no space between the bars
3. Stem-and-leaf Plot:
4. Outliers:
5. Clusters:
6. Gaps:

6. Vocabulary
1. Frequency: Shows the number of times a number appears or
numbers in an interval appear
2. Histogram: A bar graph with no space between the bars
3. Stem-and-leaf Plot: The leaf is the right-most digit in the
number, and the stem is the other digits;
4. Outliers:
5. Clusters:
6. Gaps:

7. Vocabulary
1. Frequency: Shows the number of times a number appears or
numbers in an interval appear
2. Histogram: A bar graph with no space between the bars
3. Stem-and-leaf Plot: The leaf is the right-most digit in the
number, and the stem is the other digits; The stem is on
one side of a bar and the leaves on the other
4. Outliers:
5. Clusters:
6. Gaps:

8. Vocabulary
1. Frequency: Shows the number of times a number appears or
numbers in an interval appear
2. Histogram: A bar graph with no space between the bars
3. Stem-and-leaf Plot: The leaf is the right-most digit in the
number, and the stem is the other digits; The stem is on
one side of a bar and the leaves on the other
4. Outliers: Values that are much larger or smaller than the rest
5. Clusters:
6. Gaps:

9. Vocabulary
1. Frequency: Shows the number of times a number appears or
numbers in an interval appear
2. Histogram: A bar graph with no space between the bars
3. Stem-and-leaf Plot: The leaf is the right-most digit in the
number, and the stem is the other digits; The stem is on
one side of a bar and the leaves on the other
4. Outliers: Values that are much larger or smaller than the rest
5. Clusters: Groups of values that are not close to the rest of
the data
6. Gaps:

10. Vocabulary
1. Frequency: Shows the number of times a number appears or
numbers in an interval appear
2. Histogram: A bar graph with no space between the bars
3. Stem-and-leaf Plot: The leaf is the right-most digit in the
number, and the stem is the other digits; The stem is on
one side of a bar and the leaves on the other
4. Outliers: Values that are much larger or smaller than the rest
5. Clusters: Groups of values that are not close to the rest of
the data
6. Gaps: Large spaces between values

11. Organizing Data
13 25 43 50 23 33 31 24 54 11 3 26
46 43 23 45 14 19 29 21 25 43 12 15
Which interval has the most scores? The least?

12. Organizing Data
13 25 43 50 23 33 31 24 54 11 3 26
46 43 23 45 14 19 29 21 25 43 12 15
Which interval has the most scores? The least?

13. Organizing Data
13 25 43 50 23 33 31 24 54 11 3 26
46 43 23 45 14 19 29 21 25 43 12 15
Score 1-7 8-14 15-21 22-28 29-35 36-42 43-49 50-56
Freq. 1 4 3 6 3 0 5 2
Which interval has the most scores? The least?

14. Organizing Data
13 25 43 50 23 33 31 24 54 11 3 26
46 43 23 45 14 19 29 21 25 43 12 15
Score 1-7 8-14 15-21 22-28 29-35 36-42 43-49 50-56
Freq. 1 4 3 6 3 0 5 2
Which interval has the most scores? The least?

15. Organizing Data
13 25 43 50 23 33 31 24 54 11 3 26
46 43 23 45 14 19 29 21 25 43 12 15
Score 1-7 8-14 15-21 22-28 29-35 36-42 43-49 50-56
Freq. 1 4 3 6 3 0 5 2
Which interval has the most scores? The least?
Most: 22-28

16. Organizing Data
13 25 43 50 23 33 31 24 54 11 3 26
46 43 23 45 14 19 29 21 25 43 12 15
Score 1-7 8-14 15-21 22-28 29-35 36-42 43-49 50-56
Freq. 1 4 3 6 3 0 5 2
Which interval has the most scores? The least?
Most: 22-28 Least: 36-42

17. Histograms on the
TI-83/84

18. Histograms on the
TI-83/84

19. Histograms on the
TI-83/84

20. Histograms on the
TI-83/84

21. Histograms on the
TI-83/84

22. Histograms on the
TI-83/84

23. Histograms on the
TI-83/84

24. Stem-and-Leaf

25. Stem-and-Leaf

26. Stem-and-Leaf

27. Stem-and-Leaf

28. Stem-and-Leaf

29. Stem-and-Leaf
0
1
2
3
4
5

30. Stem-and-Leaf
0 3
1
2
3
4
5

31. Stem-and-Leaf
0 3
1 1 2 3 4 5 9
2
3
4
5

32. Stem-and-Leaf
0 3
1 1 2 3 4 5 9
2 1 3 3 4 5 5 6 9
3
4
5

33. Stem-and-Leaf
0 3
1 1 2 3 4 5 9
2 1 3 3 4 5 5 6 9
3 1 3
4
5

34. Stem-and-Leaf
0 3
1 1 2 3 4 5 9
2 1 3 3 4 5 5 6 9
3 1 3
4 3 3 3 5 6
5

35. Stem-and-Leaf
0 3
1 1 2 3 4 5 9
2 1 3 3 4 5 5 6 9
3 1 3
4 3 3 3 5 6
5 0 4

36. Stem-and-Leaf
0 3
1 1 2 3 4 5 9
2 1 3 3 4 5 5 6 9
3 1 3
4 3 3 3 5 6
5 0 4
*Key: 4 2 = 42

37. Answer on Your Own
1. What is the difference between a histogram
and a bar graph?
2. What would be the stem and leaf of the
following number: 45.3

38. Problem Set

39. Problem Set
p. 18 #1-25
“The secret of success in life is for a man to be ready for
his opportunity when it comes.” - Earl of Beaconsfield