SWBAT… use and draw charts Thurs, 5/10

Agenda 1. WU (20 min)2. Box and whisker chart (25 min)

Warm-Up:1. Work on HW#1 and HW#2 for 20 minutes –

compare charts with each other

Box and Whisker Plot A box and whisker plot is a method of representing

data It helps people see where most of the data falls

WhiskersWhiskers BOXES

Box and Whisker Plot It shows a picture of data divided into four parts The boxes represent 50% of the data while each

whisker represents 25% of the data. The total represented by the entire plot is 100%

25%25% 50%

Drawing a Box and Whisker Plot

You must first find 5 things:

1. Lower Extreme

2. Upper Extreme

3. Lower Quartile

4. Median (Quartile 2)5. Upper Quartile

(median of 1st half)

(median of 2nd half)

Example 1

Draw a box and whisker plot for this data:

4, 7, 15, 27, 9, 14, 12, 22, 9, 11, 18

First, we must put these numbers in order from least to greatest.

Example 1

Draw a box and whisker plot for this data:

4, 7, 9, 9, 11, 12, 14, 15, 18, 22, 27

Now we can find those 5 things that we need.

Example 1

Draw a box and whisker plot for this data:

4, 7, 9, 9, 11, 12, 14, 15, 18, 22, 271. Lower Extreme2. Upper Extreme3. Lower Quartile4. Median (Quartile 2)

5. Upper Quartile

Example 1

Draw a box and whisker plot for this data:

4, 7, 9, 9, 11, 12, 14, 15, 18, 22, 271. Lower Extreme --- 4

2. Upper Extreme --- 27

3. Lower Quartile

4. Median (Quartile 2)

5. Upper Quartile

Median (Quartile 2) Let’s find the median (Quartile 2) first. It is the median of the entire group of data. What number is in the middle?

4, 7, 9, 9, 11, 12, 14, 15, 18, 22, 274, 7, 9, 9, 11, 12, 14, 15, 18, 22, 27

Example 1

Draw a box and whisker plot for this data:

4, 7, 9, 9, 11, 12, 14, 15, 18, 22, 271. Lower Extreme --- 4

2. Upper Extreme --- 27

3. Lower Quartile

4. Median (Quartile 2) --- 12

5. Upper Quartile

Lower Quartile Let’s find lower quartile next. It is the median of the 1st half of data. What number is in the middle?

4, 7, 9, 9, 11, 12, 14, 15, 18, 22, 274, 7, 9, 9, 11, 12, 14, 15, 18, 22, 27

1st half

Example

Draw a box and whisker plot for this data:

4, 7, 9, 9, 11, 12, 14, 15, 18, 22, 271. Lower Extreme --- 4

2. Upper Extreme --- 27

3. Lower Quartile--- 9

4. Median (Quartile 2) --- 12

5. Upper Quartile

Quartile 1 Let’s find the Upper Quartile next. It is the median of the 2nd half of data. What number is in the middle?

4, 7, 9, 9, 11, 12, 14, 15, 18, 22, 274, 7, 9, 9, 11, 12, 14, 15, 18, 22, 27

2nd half

Draw a box and whisker plot for this data:

4, 7, 9, 9, 11, 12, 14, 15, 18, 22, 271.1. Lower Extreme --- Lower Extreme --- 44

2.2. Upper Extreme --- Upper Extreme --- 2727

3.3. Lower Quartile --- Lower Quartile --- 99

4.4. Median (Quartile 2) --- Median (Quartile 2) --- 1212

5.5. Upper Quartile --- Upper Quartile --- 1818

Now we can draw a box and whisker plot for this data.

Draw a number line that is large enough to include the smallest and largest number.

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Place a dot on the smallest number and largest number.

3030282826262424222220201818161614141212101088664422

Draw a vertical line on each quartile.

3030282826262424222220201818161614141212101088664422

Draw horizontal lines to make the boxes.

3030282826262424222220201818161614141212101088664422

Connect the least and greatest value to create the whiskers.

3030282826262424222220201818161614141212101088664422

3030282826262424222220201818161614141212101088664422

Here is the completed Box and Whisker Plot!

Name the following:1. Lower extreme:

2. Upper extreme:

3. Lower quartile:

4. Median:

5. Upper quartile:

Parts of a Box-and-Whisker Plot

4 53

21

Median Upper QuartileLower Quartile

Lower Extreme Upper Extreme