Transcript Section 5-2 - Cloudfront.net

Section 13.7
Stem and Leaf and
Histograms
Objective: Students will make stem and leaf
plots and histograms and use these to answer
data questions.
Standard: S.ID.1, S.ID.2
Vocabulary
• Stem and leaf Plot: A data display that
organizes data based on their digits.
Shows how the data are distributed.
Helps if you write the numbers IN ORDER!
• Histogram: Bar graph that groups data
into equal intervals. There are not spaces
between the bars.
Example 1
Make a stem and leaf plot for the following:
60, 63, 64, 68, 60, 62, 59, 70, 64, 66, 58, 72, 64
Step 1: Write numbers in order first:
58, 59, 60, 60, 62, 63, 64, 64, 64, 66, 68, 70, 72
Step 2: Put into stem and leaf plot: For 2 digit Number:
• First digit of each number is a STEM
• Second digit of each number is a LEAF.
Stem
Leaves
5
8
9
6
0
0
7
0
2
2 3 4
4
4
6
8
Example 1 cont,
Find median and range:
58, 59, 60, 60, 62, 63, 64, 64, 64, 66, 68, 70, 72
Median: 64
Range:
72 – 58 = 14
Example 2
Make a histogram for the following:
7, 12, 29, 15, 8, 2, 0, 17, 22, 25, 28, 8, 11, 10
Step 1: Choose intervals of EQUAL SIZE:
Can divide RANGE by the number of intervals you want to
have, or just look at data and decide for yourself.
Range: 29 – 0 = 29
This is about 30 so: 30 ÷ 3 = 10 we can go by 10’s
Step 2: Organize data using FREQUENCY table – this tells how many
values fall in the intervals.
Intervals
Frequency (tallies)
0 - 10
||||| |
11- 20
| || |
21 - 30
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Example 2 cont.
Step 3: Draw the bars of the histogram using the intervals from the
frequency table.
Intervals
F
r
e
q
u
e
n
c
y
Frequency (tallies)
0 - 10
||||| |
11- 20
| || |
21 - 30
||| |
6
5
4
3
2
1
0
0 - 10
11- 20 21 - 30
Range
Example 2 cont,
7, 12, 29, 15, 8, 2, 0, 17, 22, 25, 28, 8, 11, 10
Find median and range:
0, 2, 7, 8, 8, 10, 11, 12, 15, 17, 22, 25, 28, 29
Median: 11  12  11.5
2
Range:
29
Homework
Section 13.6
Pg. 883
Make stem and leaf AND
histograms for Then find
median and range :
3 – 5, 11, 12
Follow directions: 8, 9, 10