______Confident
Chapter/Lesson: Chapter 2 Lesson 7 Pages: 78
______Ok
Objective/Title: Line Plots (Clusters, Gaps, Outliers)
______Lost
Important Terms
Quick Solve
Cluster: data points that lie in a small
interval (group of data)
1. Create a number line for your data
(depending on data set where you start
and end)
Gap: interval where no data lies (empty
space)
2. Plot your data points
Outlier: data point that has a value
much greater or less than the rest of the
data (left alone or outside the group)
3. Identify your clusters, gaps, and
outliers on the graph or using numbers.
Line Plot: a number line used to plot
data using x’s for data points.
Practice Questions
Data: 5, 21, 22, 23, 23, 24, 25, 25, 26, 26, 26, 27, 29
Outlier
Gap
Cluster
x
x
x x
x x x x x x x
x
0
2
4
6
8
10
12
14
16
18
20
22
24
26
x
28
30
1. Make the line plot using the data
2. Identify Clusters 21-29
Gaps 6-20
Outliers 5
3. Find the Mean (302 ÷ 13) = 23.23076923076923
Median 5, 21, 22, 23, 23, 24, 25, 25, 26, 26, 26, 27, 29
Mode 26
Range 29-5 = 24
4. How does the outlier affect the mean? Makes it lower
5. (21, 22, 23, 23, 24, 25, 25, 26, 26, 26, 27, 29) Refigure the following:
Mean 297 ÷ 12 = 24.75
Median 21, 22, 23, 23, 24, 25, 25, 26, 26, 26, 27, 29
25 + 25 = 50 ÷ 2 = 25
Mode 26
Range 29-21 = 8
What changed from question 3 to question 5? Mean: went up
Median: Stayed Same Mode: Stayed Same
Range: went down (gap closer)
32
Notes and Examples
Data Set: 0, 2, 4, 2, 12, 4, 10, 0, 10, 4, 32
Cluster
x
x
0
x
x
2
Gap
Cluster
x
x
x
4
6
8
Gap
x
x
x
10
12
Outlier
x
14
16
18
20
22
24
26
28
30
32
1. Create a number line for your data (depending on data set where you start and end.)
I chose to start at zero, since that is why my data started. I continued until 32
because that was my last data point.
2. Plot your data points.
First, I put them in order: 0, 0, 2, 2, 4, 4, 4, 10, 10, 12, 32
Then I plotted my points, using x’s, stacking each point that fell on the same spot.
3. Identify your clusters, gaps, and outliers on the graph or using numbers.
I identified the clusters as groups of data, gap as spaces in between with no data (do
not include spaces between our clusters), and outlier as the data point all alone.
Cluster: 0-4; 10-12
Gap: 5-9; 13-31
Outlier: 32
16