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Agenda: Agenda: 1) Objective & Bell ringer 1) Objective & Bell ringer 2) Cornell Notes: Topic= Mean, Median, 2) Cornell Notes: Topic= Mean, Median, Mode & Range Mode & Range 3) Analyze and Calculate % Mastery by 3) Analyze and Calculate % Mastery by Standard Standard 4) Explain & Model all tasks 4) Explain & Model all tasks (calculations, graphing, etc…) (calculations, graphing, etc…) 5) Work on packet 5) Work on packet Homework: Homework: Due Tomorrow! Due Tomorrow! 1) Finish worksheet 1) Finish worksheet 2) Plot your data and answer questions 2) Plot your data and answer questions 3) Have packet signed by your parent and 3) Have packet signed by your parent and have him/her fill in the “comments have him/her fill in the “comments section” section” 4) Write correct answers on exam and put 4) Write correct answers on exam and put explanation of why you got them wrong next explanation of why you got them wrong next to question. to question.

Agenda: 1) Objective & Bell ringer 2) Cornell Notes: Topic= Mean, Median, Mode & Range 3) Analyze and Calculate % Mastery by Standard 4) Explain & Model

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Page 1: Agenda: 1) Objective & Bell ringer 2) Cornell Notes: Topic= Mean, Median, Mode & Range 3) Analyze and Calculate % Mastery by Standard 4) Explain & Model

Agenda: Agenda: 1) Objective & Bell ringer 1) Objective & Bell ringer 2) Cornell Notes: Topic= Mean, Median, Mode & 2) Cornell Notes: Topic= Mean, Median, Mode & Range Range 3) Analyze and Calculate % Mastery by Standard3) Analyze and Calculate % Mastery by Standard4) Explain & Model all tasks (calculations, 4) Explain & Model all tasks (calculations, graphing, etc…)graphing, etc…)5) Work on packet5) Work on packet

Homework: Homework: Due Tomorrow! Due Tomorrow! 1) Finish worksheet1) Finish worksheet2) Plot your data and answer questions2) Plot your data and answer questions3) Have packet signed by your parent and have 3) Have packet signed by your parent and have him/her fill in the “comments section” him/her fill in the “comments section” 4) Write correct answers on exam and put 4) Write correct answers on exam and put explanation of why you got them wrong next to explanation of why you got them wrong next to question. question.

Page 2: Agenda: 1) Objective & Bell ringer 2) Cornell Notes: Topic= Mean, Median, Mode & Range 3) Analyze and Calculate % Mastery by Standard 4) Explain & Model

Mean, Median, Mode Mean, Median, Mode & Range& Range

Analysis and Reflection of your Exam Data

Page 3: Agenda: 1) Objective & Bell ringer 2) Cornell Notes: Topic= Mean, Median, Mode & Range 3) Analyze and Calculate % Mastery by Standard 4) Explain & Model

Objective: SWBAT calculate their percent mastery by standard and reflect on how study habits affected the outcome.SWBAT analyze the data and determine the mean, median, mode and rangeSWBAT plot the data in a bar graphBellringer: How much time

did you spend studying for this exam?

5 min…

Page 4: Agenda: 1) Objective & Bell ringer 2) Cornell Notes: Topic= Mean, Median, Mode & Range 3) Analyze and Calculate % Mastery by Standard 4) Explain & Model

Objective: SWBAT calculate their percent mastery by standard and reflect on how study habits affected the outcome.SWBAT analyze the data and determine the mean, median, mode and rangeSWBAT plot the data in a bar graphBellringer: How much time

did you spend studying for this exam?

4 min…

Page 5: Agenda: 1) Objective & Bell ringer 2) Cornell Notes: Topic= Mean, Median, Mode & Range 3) Analyze and Calculate % Mastery by Standard 4) Explain & Model

Objective: SWBAT calculate their percent mastery by standard and reflect on how study habits affected the outcome.SWBAT analyze the data and determine the mean, median, mode and rangeSWBAT plot the data in a bar graphBellringer: How much time

did you spend studying for this exam?

3 min…

Page 6: Agenda: 1) Objective & Bell ringer 2) Cornell Notes: Topic= Mean, Median, Mode & Range 3) Analyze and Calculate % Mastery by Standard 4) Explain & Model

Objective: SWBAT calculate their percent mastery by standard and reflect on how study habits affected the outcome.SWBAT analyze the data and determine the mean, median, mode and rangeSWBAT plot the data in a bar graphBellringer: How much time

did you spend studying for this exam?

2 min…

Page 7: Agenda: 1) Objective & Bell ringer 2) Cornell Notes: Topic= Mean, Median, Mode & Range 3) Analyze and Calculate % Mastery by Standard 4) Explain & Model

Objective: SWBAT calculate their percent mastery by standard and reflect on how study habits affected the outcome.SWBAT analyze the data and determine the mean, median, mode and rangeSWBAT plot the data in a bar graphBellringer: How much time

did you spend studying for this exam?

1 min…

Page 8: Agenda: 1) Objective & Bell ringer 2) Cornell Notes: Topic= Mean, Median, Mode & Range 3) Analyze and Calculate % Mastery by Standard 4) Explain & Model

Objective: SWBAT calculate their percent mastery by standard and reflect on how study habits affected the outcome.SWBAT analyze the data and determine the mean, median, mode and rangeSWBAT plot the data in a bar graphBellringer: How much time

did you spend studying for this exam?

30 sec…

Page 9: Agenda: 1) Objective & Bell ringer 2) Cornell Notes: Topic= Mean, Median, Mode & Range 3) Analyze and Calculate % Mastery by Standard 4) Explain & Model

Objective: SWBAT calculate their percent mastery by standard and reflect on how study habits affected the outcome.SWBAT analyze the data and determine the mean, median, mode and rangeSWBAT plot the data in a bar graphBellringer: How much time

did you spend studying for this exam?

10 sec…

Page 10: Agenda: 1) Objective & Bell ringer 2) Cornell Notes: Topic= Mean, Median, Mode & Range 3) Analyze and Calculate % Mastery by Standard 4) Explain & Model

Time is up ! Please Pass your bell ringer in

(RIGHT NOW) You should be setting up your Cornell Notes….

Page 11: Agenda: 1) Objective & Bell ringer 2) Cornell Notes: Topic= Mean, Median, Mode & Range 3) Analyze and Calculate % Mastery by Standard 4) Explain & Model

Reflection Question(s): Which topics covered do you think you understand the best? Does your data correlate?

2 min…

Page 12: Agenda: 1) Objective & Bell ringer 2) Cornell Notes: Topic= Mean, Median, Mode & Range 3) Analyze and Calculate % Mastery by Standard 4) Explain & Model

Reflection Question(s): Which topics covered do you think you understand the best? Does your data correlate?

1 min…

Page 13: Agenda: 1) Objective & Bell ringer 2) Cornell Notes: Topic= Mean, Median, Mode & Range 3) Analyze and Calculate % Mastery by Standard 4) Explain & Model

Reflection Question(s): Which topics covered do you think you understand the best? Does your data correlate?

30 sec…

Page 14: Agenda: 1) Objective & Bell ringer 2) Cornell Notes: Topic= Mean, Median, Mode & Range 3) Analyze and Calculate % Mastery by Standard 4) Explain & Model

Reflection Question(s): Which topics covered do you think you understand the best? Does your data correlate?

10 sec…

Page 15: Agenda: 1) Objective & Bell ringer 2) Cornell Notes: Topic= Mean, Median, Mode & Range 3) Analyze and Calculate % Mastery by Standard 4) Explain & Model

Vocabulary Review•Quantitative data – contains a number and unit

•Content Mastery by Standard – the percentage of correct answers for each Illinois Science Standard (actual vs possible points). 80% is considered mastery.

Page 16: Agenda: 1) Objective & Bell ringer 2) Cornell Notes: Topic= Mean, Median, Mode & Range 3) Analyze and Calculate % Mastery by Standard 4) Explain & Model

Copyright © 2000 by Monica Yuskaitis

Definition

MeanMeanMeansMeans

AverageAverage

Page 17: Agenda: 1) Objective & Bell ringer 2) Cornell Notes: Topic= Mean, Median, Mode & Range 3) Analyze and Calculate % Mastery by Standard 4) Explain & Model

Copyright © 2000 by Monica Yuskaitis

Definition

•MeanMean – the average of a group of numbers.

2, 5, 2, 1, 5Mean = 3Mean = 3

Page 18: Agenda: 1) Objective & Bell ringer 2) Cornell Notes: Topic= Mean, Median, Mode & Range 3) Analyze and Calculate % Mastery by Standard 4) Explain & Model

Copyright © 2000 by Monica Yuskaitis

How to Find the Mean of a Group of Numbers

•Step 1 – Add all the numbers.

8, 10, 12, 18, 22, 26

8+10+12+18+22+26 = 96

Page 19: Agenda: 1) Objective & Bell ringer 2) Cornell Notes: Topic= Mean, Median, Mode & Range 3) Analyze and Calculate % Mastery by Standard 4) Explain & Model

Copyright © 2000 by Monica Yuskaitis

How to Find the Mean of a Group of Numbers

•Step 2 – Divide the sum by the number of addends.

8, 10, 12, 18, 22, 26

8+10+12+18+22+26 = 96 How many addends are there?

Page 20: Agenda: 1) Objective & Bell ringer 2) Cornell Notes: Topic= Mean, Median, Mode & Range 3) Analyze and Calculate % Mastery by Standard 4) Explain & Model

Copyright © 2000 by Monica Yuskaitis

How to Find the Mean of a Group of Numbers

•Step 2 – Divide the sum by the number of addends.

6)96 sum# of addends1

636

6

63

Page 21: Agenda: 1) Objective & Bell ringer 2) Cornell Notes: Topic= Mean, Median, Mode & Range 3) Analyze and Calculate % Mastery by Standard 4) Explain & Model

Copyright © 2000 by Monica Yuskaitis

How to Find the Mean of a Group of Numbers

The mean or average of these numbers is 16.

8, 10, 12, 18, 22, 26

Page 22: Agenda: 1) Objective & Bell ringer 2) Cornell Notes: Topic= Mean, Median, Mode & Range 3) Analyze and Calculate % Mastery by Standard 4) Explain & Model

Copyright © 2000 by Monica Yuskaitis

What is the mean of these numbers?

26, 33, 41, 52

38

Page 23: Agenda: 1) Objective & Bell ringer 2) Cornell Notes: Topic= Mean, Median, Mode & Range 3) Analyze and Calculate % Mastery by Standard 4) Explain & Model

Copyright © 2000 by Monica Yuskaitis

Definition

MeMeddianian

is in theis in the

MiMiddddlele

Page 24: Agenda: 1) Objective & Bell ringer 2) Cornell Notes: Topic= Mean, Median, Mode & Range 3) Analyze and Calculate % Mastery by Standard 4) Explain & Model

Copyright © 2000 by Monica Yuskaitis

Definition•MedianMedian – the middle number in a set of ordered numbers.

1, 3, 7, 10, 13Median = 7Median = 7

Page 25: Agenda: 1) Objective & Bell ringer 2) Cornell Notes: Topic= Mean, Median, Mode & Range 3) Analyze and Calculate % Mastery by Standard 4) Explain & Model

Copyright © 2000 by Monica Yuskaitis

How to Find the Median in a Group of Numbers

•Step 1 – Arrange the numbers in order from least to greatest.

21, 18, 24, 19, 27

18, 19, 21, 24, 27

Page 26: Agenda: 1) Objective & Bell ringer 2) Cornell Notes: Topic= Mean, Median, Mode & Range 3) Analyze and Calculate % Mastery by Standard 4) Explain & Model

Copyright © 2000 by Monica Yuskaitis

How to Find the Median in a Group of Numbers

•Step 2 – Find the middle number.

21, 18, 24, 19, 27

18, 19, 21, 24, 27

Page 27: Agenda: 1) Objective & Bell ringer 2) Cornell Notes: Topic= Mean, Median, Mode & Range 3) Analyze and Calculate % Mastery by Standard 4) Explain & Model

Copyright © 2000 by Monica Yuskaitis

How to Find the Median in a Group of Numbers

•Step 2 – Find the middle number.

18, 19, 21, 24, 27

This is your median number.

Page 28: Agenda: 1) Objective & Bell ringer 2) Cornell Notes: Topic= Mean, Median, Mode & Range 3) Analyze and Calculate % Mastery by Standard 4) Explain & Model

Copyright © 2000 by Monica Yuskaitis

How to Find the Median in a Group of Numbers

•Step 3 – If there are two middle numbers, find the mean of these two numbers.

18, 19, 21, 25, 27, 28

Page 29: Agenda: 1) Objective & Bell ringer 2) Cornell Notes: Topic= Mean, Median, Mode & Range 3) Analyze and Calculate % Mastery by Standard 4) Explain & Model

Copyright © 2000 by Monica Yuskaitis

How to Find the Median in a Group of Numbers

•Step 3 – If there are two middle numbers, find the mean of these two numbers.

21+ 25 = 46

2) 46 23 median

Page 30: Agenda: 1) Objective & Bell ringer 2) Cornell Notes: Topic= Mean, Median, Mode & Range 3) Analyze and Calculate % Mastery by Standard 4) Explain & Model

Copyright © 2000 by Monica Yuskaitis

What is the median of these numbers?

29, 8, 4, 11, 19

114, 8, 11, 19, 29

Page 31: Agenda: 1) Objective & Bell ringer 2) Cornell Notes: Topic= Mean, Median, Mode & Range 3) Analyze and Calculate % Mastery by Standard 4) Explain & Model

Copyright © 2000 by Monica Yuskaitis

What is the median of these numbers?

31, 7, 2, 12, 14, 19

132, 7, 12, 14, 19, 31

12 + 14 = 26 2) 26

Page 32: Agenda: 1) Objective & Bell ringer 2) Cornell Notes: Topic= Mean, Median, Mode & Range 3) Analyze and Calculate % Mastery by Standard 4) Explain & Model

Copyright © 2000 by Monica Yuskaitis

Definition

ModeMode

is the mostis the most

PopularPopular

Page 33: Agenda: 1) Objective & Bell ringer 2) Cornell Notes: Topic= Mean, Median, Mode & Range 3) Analyze and Calculate % Mastery by Standard 4) Explain & Model

Copyright © 2000 by Monica Yuskaitis

Definition•ModeMode – the number that appears most frequently in a set of numbers.

1, 1, 3, 7, 10, 13Mode = 1Mode = 1

Page 34: Agenda: 1) Objective & Bell ringer 2) Cornell Notes: Topic= Mean, Median, Mode & Range 3) Analyze and Calculate % Mastery by Standard 4) Explain & Model

Copyright © 2000 by Monica Yuskaitis

How to Find the Mode in a Group of Numbers

•Step 1 – Arrange the numbers in order from least to greatest.

21, 18, 24, 19, 18

18, 18, 19, 21, 24

Page 35: Agenda: 1) Objective & Bell ringer 2) Cornell Notes: Topic= Mean, Median, Mode & Range 3) Analyze and Calculate % Mastery by Standard 4) Explain & Model

Copyright © 2000 by Monica Yuskaitis

How to Find the Mode in a Group of Numbers

•Step 2 – Find the number that is repeated the most.

21, 18, 24, 19, 18

18, 18, 19, 21, 24

Page 36: Agenda: 1) Objective & Bell ringer 2) Cornell Notes: Topic= Mean, Median, Mode & Range 3) Analyze and Calculate % Mastery by Standard 4) Explain & Model

Copyright © 2000 by Monica Yuskaitis

Which number is the mode?

29, 8, 4, 8, 19

84, 8, 8, 19, 29

Page 37: Agenda: 1) Objective & Bell ringer 2) Cornell Notes: Topic= Mean, Median, Mode & Range 3) Analyze and Calculate % Mastery by Standard 4) Explain & Model

Copyright © 2000 by Monica Yuskaitis

Definition

RangeRange

is the distanceis the distance

BetweenBetween

Page 38: Agenda: 1) Objective & Bell ringer 2) Cornell Notes: Topic= Mean, Median, Mode & Range 3) Analyze and Calculate % Mastery by Standard 4) Explain & Model

Copyright © 2000 by Monica Yuskaitis

Definition•RangeRange – the difference

between the greatest and the least value in a set of numbers.

1, 1, 3, 7, 10, 13Range = 12Range = 12

Page 39: Agenda: 1) Objective & Bell ringer 2) Cornell Notes: Topic= Mean, Median, Mode & Range 3) Analyze and Calculate % Mastery by Standard 4) Explain & Model

Copyright © 2000 by Monica Yuskaitis

How to Find the Range in a Group of Numbers

•Step 1 – Arrange the numbers in order from least to greatest.

21, 18, 24, 19, 27

18, 19, 21, 24, 27

Page 40: Agenda: 1) Objective & Bell ringer 2) Cornell Notes: Topic= Mean, Median, Mode & Range 3) Analyze and Calculate % Mastery by Standard 4) Explain & Model

Copyright © 2000 by Monica Yuskaitis

How to Find the Range in a Group of Numbers

•Step 2 – Find the lowest and highest numbers.

21, 18, 24, 19, 27

18, 19, 21, 24, 27

Page 41: Agenda: 1) Objective & Bell ringer 2) Cornell Notes: Topic= Mean, Median, Mode & Range 3) Analyze and Calculate % Mastery by Standard 4) Explain & Model

Copyright © 2000 by Monica Yuskaitis

How to Find the Range in a Group of Numbers

•Step 3 – Find the difference between these 2 numbers.

18, 19, 21, 24, 27

27 – 18 = 9The range is 9

Page 42: Agenda: 1) Objective & Bell ringer 2) Cornell Notes: Topic= Mean, Median, Mode & Range 3) Analyze and Calculate % Mastery by Standard 4) Explain & Model

Copyright © 2000 by Monica Yuskaitis

What is the range?

29, 8, 4, 8, 19

29 – 4 = 25

4, 8, 8, 19, 29

Page 43: Agenda: 1) Objective & Bell ringer 2) Cornell Notes: Topic= Mean, Median, Mode & Range 3) Analyze and Calculate % Mastery by Standard 4) Explain & Model

The PPT is now complete and may be viewed again at butler.harlanstem.org, but your notes are not yet complete!

* Switching to the ELMO for modeling of content mastery calculations and plotting a graph review*

Please remember to complete your C.N. summary and the “mastery packet” for homework.