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4.2 Displays of                    Quantitative Data 4.2 Displays of                    Quantitative Data

4.2 Displays of Quantitative Data - PowerPoint Presentation

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4.2 Displays of Quantitative Data - PPT Presentation

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

plot data histogram number data plot number histogram quartile frequency stem leaf box lung volume summary bars median dot

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Slide1

4.2 Displays of

Quantitative Data

Slide2

Stem 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.

Slide3

Stem and Leaf Example

Stem

Leaf

Slide4

The 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

Slide5

DOT 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?

Slide6

Graphing 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

Slide7

Frequency Table

A

frequency table

shows the number of pieces of data that fall within given intervals.

Slide8

Frequency 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

Slide9

Histogram

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.

Slide10

Lung 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

Slide11

Histogram of Lung Volume Data

2.5 3.0 3.5 4.0 4.5 5.0

Lung Volume

Number of Patients