Stem and Leaf Plot A stemandleaf plot shows data arranged by place value You can use a stemandleaf plot when you want to display data in an organized way that allows you to see each value ID: 811470
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Slide1
4.2 Displays of
Quantitative Data
Slide2Stem and Leaf Plot
A
stem-and-leaf plot
shows data arranged by place value. You can use a stem-and-leaf plot when you want to display data in an organized way that allows you to see each value.
Slide3Stem and Leaf Example
Stem
Leaf
Slide4The 5 Number
Summary and the
Box and Whisker plot (boxplot)
The five number summary is
the statistics used to create
box and whisker plot.
The five number summary
consists
of :We compute these with the 1-var Stats
Symbol
Name
Description
MinX
Minimum
Lowest
data value in this sample
Q1
Quartile 1
25% of our data is below this and 75% of our data is above this
Med
Median
50% of our data is below this and 50% of our data is above this
Q3
Quartile 3
75% of our data is below this and 25% of our data is above this
MaxX
Maximum
Highest data value in this sample
Slide5DOT PLOTS
A data display in which each data item is shown as a dot above a number line
In a dot plot a
cluster
shows where a group of data points fall.
A
gap
is an interval where there are no data items.
Is this data skewed left, symmetric or skewed right? How can you tell?
Slide6Graphing The Data
Notice, the Box includes the lower quartile, median, and upper quartile.
The Whiskers extend from the Box to the max and min.
Minimum
Quartile 1
Median
Quartile 3
Maximum
Slide7Frequency Table
A
frequency table
shows the number of pieces of data that fall within given intervals.
Slide8Frequency Tables
Price $
Tally
Frequency
1-25
4
26-50
11
51-75
7
76-100
13
Scale- includes the least value and greatest value
Interval- Separates the scale into
equal
parts
Slide9Histogram
A histogram looks very similar to a bar graph. There are three important differences between a histogram and a bar graph.
1. On a Histogram, the
bars will touch
.
2. On a Histogram, we
label the dividing lines between bars
, not the bars themselves
3. Histograms are used for QUANTITATIVE data, while bar graphs are used for QUALITATIVE data.
Slide10Lung Volume Data
Lung volume (litres)
Frequency
2.5–2.9
2
3.0–3.4
5
3.5–3.9
8
4.0–4.4
11
4.5–4.9
9
5.0–5.4
4
5.5–5.9
1
Slide11Histogram of Lung Volume Data
2.5 3.0 3.5 4.0 4.5 5.0
Lung Volume
Number of Patients