Agenda: Aim: 9/15/09

How do we construct box-and-whisker plots?

Do Now

•Finding median

MiniLesson

•Constructing the box-andwhisker plot •Five number summary

Group work

•Past Regents Questions

Do Now - 3 minutes Find the median of the following data set.

3, 5, 4, 2, 1, 6, 8, 11, 14, 13, 6, 9, 10, 7 1. Order your numbers from least to greatest: 1, 2, 3, 4, 5, 6, 6, 7, 8, 9, 10, 11, 13, 14

2. Find the median •Discussion Median = (6 + 7)/2 Summary •Writing = 13/2 Homework = 6.5 Share-out

Agenda: Aim: 9/15/09

How do we construct box-and-whisker plots?

Do Now

•Finding median

MiniLesson

•Constructing the box-andwhisker plot •Five number summary

Group work

•Past Regents Questions

Use the following data to construct a box and whisker plot: 3, 5, 4, 2, 1, 6, 8, 11, 14, 13, 6, 9, 10, 7 1. Order your numbers from least to greatest: 1, 2, 3, 4, 5, 6, 6, 7, 8, 9, 10, 11, 13, 14

2. Find the median Share-out Median = (6 + 7)/2 •Discussion Summary = 13/2 •Writing = 6.5 Homework

Agenda: Aim: 9/15/09

How do we construct box-and-whisker plots?

Do Now

•Finding median

MiniLesson

•Constructing the box-andwhisker plot •Five number summary

Group work

•Past Regents Questions

Share-out •Discussion

Summary •Writing

Homework

1, 2, 3, 4, 5, 6, 6, │7, 8, 9, 10, 11, 13, 14 3. Find the median for each half: 1, 2, 3, 4, 5, 6, 6 │ 7, 8, 9, 10, 11, 13, 14 1, 2, 3, 4, 5, 6, 6 │ 7, 8, 9, 10, 11, 11 13, 13 14 Left Median = 4

Right Median = 10

Agenda: Aim: 9/15/09

How do we construct box-and-whisker plots?

Do Now

•Finding median

MiniLesson

•Constructing the box-andwhisker plot •Five number summary

Group work

•Past Regents Questions

Share-out •Discussion

Summary •Writing

Homework

1, 2, 3, 4, 5, 6, 6 │ 7, 8, 9, 10, 11, 11 13, 13 14 Left Median = 4

Right Median = 10

The left median is called the lower (first) quartile or 25th percentile. The right median is called the upper (third) quartile or 75th percentile.

Agenda: Aim: How do we construct box-and-whiske r plots?

4. Plot points and draw the graph

9/15/09

Do Now

•Finding median

MiniLesson

1, 2, 3, 4, 5, 6, 6, 7, 8, 9, 10, 11, 13, 14 Minimum: 1 Lower Quartile: 4

•Constructing the box-andwhisker plot •Five number summary 1

2

3

4

5

6

Median: 6.5 Upper Quartile - 10 Maximum - 14

7

8

9

10 11

12

13 14

Group work

•Past Regents Questions

Share-out •Discussion

Summary •Writing

Homework

Agenda: Aim: 9/15/09

How do we construct box-and-whisker plots? Using the graphing calculator to construct box-and-whisker plots

Do Now

•Finding median

MiniLesson

•Constructing the box-andwhisker plot •Five number summary

• • •

2nd + 7 1 2 STAT, ENTER Put numbers into L1

Group work

• •Past Regents • Questions Share-out • •Discussion

2nd, y=, ENTER Select On, press ENTER Select graph, ENTER

• •Writing Homework •

ZOOM , 9 (ZoomStat) TRACE

Summary

Agenda: Aim: 9/15/09

How do we construct box-and-whisker plots?

Do Now

•Finding median

MiniLesson

•Constructing the box-andwhisker plot •Five number summary

Group work

•Past Regents Questions

Share-out •Discussion

Summary •Writing

Homework

Maximum 75th percentile Median 50th percentile Upper quartile 2nd quartile 3rd quartile 25th percentile Lower quartile 1st quartile Minimu m 25% 25% 25%

25%

Aim: How do we construct box-and-whisker plots? What is the value of the first quartile shown on the box-and-whisker plot below? 1st quartile

2nd quartile (Median)

Minimum

(1) 6 (2) 8.5

(3) 10 (4) 12

3rd quartile Maximum

Aim: How do we construct box-and-whisker plots?

Vocabulary (see handout)

• Range - The difference between the lowest and the highest numbers in a set of data • Quartiles - each part when data is separated into four equal parts • Median - the middle number in an ordered set of data • First Quartile or Lower Quartile - the median of the lower half of a set of data • Third Quartile or Upper Quartile - the median of the upper half of a set of data • Five number summary - includes the minimum, the first quartile, the median, the third quartile, and the maximum • Minimum - the least value in a set of data • Maximum - the greatest value in a set of data • Box-and-whisker plot - a graph that summarizes a data set along a number line. • Interquartile range - the difference between the first and third quartiles in a data set • Percentiles – separate data sets into 100 equal parts • Percentile rank - The percentile rank of a score is the percentage of scores that are less than or equal to that score.

Agenda: Aim: 9/15/09

How do we construct box-and-whisker plots?

Do Now

•Finding median

MiniLesson

•Constructing the box-andwhisker plot •Five number summary

Group work

•Past Regents Questions

Share-out •Discussion

Summary •Writing

Homework

Group Work

Complete Daily worksheet

Agenda: Aim: 9/15/09

How do we construct box-and-whisker plots?

Do Now

•Finding median

MiniLesson

•Constructing the box-andwhisker plot •Five number summary

Group work

•Past Regents Questions

Share-out •Discussion

Summary •Writing

Homework

SUMMARY Your younger sibling is having problems completing their homework which involves constructing a box-and-whisker plot. Write (at least five sentences) explaining to him / her how to construct a boxand-whisker plot.