mrs. jubinville mathematics grade 6 unit 12...

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Mrs. Jubinville

Mathematics

Grade 6

Unit 12

Statistics

Topic

1 Statistical Questions

2 Looking at Data Sets

3 Mean

4 Mean Median Mode Range

5 Histograms Interpret Construct

6 Box Plot (Box and Whisker) Interpret create

7 Review

8 Review

9 Test

Name: _____________________________

Period: _____________________________

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Lesson 1: Statistical Questions

Objective:_________________________________________________________________________

Lesson: What is a statistical question?

Vocabulary-

statistical question- _________________________________________________________________

Warm-up: A statistical question is a question that anticipates there will be different answers in the

data. A statistical question would be asked of a group of people and the answers will differ. You can

use a graph to display your data.

What desserts did you eat this week?

How many miles do you live from the school?

How often do you study for your tests?

Give this a shot: Create a few graphs to display the data in the statistical questions below.

1.) How much time (in minutes) do you spend 2.) What is your favorite color?

completing your daily homework?

3.) How many siblings do you have? 4.) How many pets do you own?

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Practice: Decide which questions are statistical questions. Write statistical if it is a statistical

question. Write not statistical if it is not a statistical question.

5.) How many of the cards in your hand are baseball cards? ______________________________

6.) When does summer begin? ______________________________________________________

7.) Where are your classmates’ favorite places to vacation? _______________________________

8.) How long does it take a sixth grader to eat their lunch? ________________________________

9.) Who is the current President of the United States? ____________________________________

10.) What was the low temperature yesterday in Holbrook, NY.? ___________________________

11.) What color t-shirt am I wearing? _________________________________________________

12.) Number of letters in your name? _______________________________________

Try This: The data shown are the responses to the question: How tall, in centimeters, is each bean plant?

Make a dot plot to display the data.

8 6 7 5 8 6 8 7 9 4 5 2 8 6

Dean asked his class: How many apples do you eat in a week? He got the following responses:

7 5 5 5 7 3 2 1 0 0 4 3 2 1

Make a dot plot to display the data.

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Homework: Think of a statistical question you could ask your classmates tomorrow.

Statistical question _________________________________________________________________

Explain why the question: “What day of the week is today?” is not a statistical question.

___________________________________________________________________________________

___________________________________________________________________________________

___________________________________________________________________________________

___________________________________________________________________________________

Create a graph to display the data in the statistical questions below.

1.) What is your favorite subject? 2.) How many days a week do you play video games?

Student’s Favorite Subjects

ELA Math SS Science

Blast from the Past:

3.) Mikayla gave $60 to her friend. She now has more than or equal to $150.

What is the inequality? _____________ Solve the inequality. ______________

Graph the inequality.

What is the smallest amount of money Mikayla’s friend has? ____________________________

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Lesson 2: Looking at Data Sets

Objective: _______________________________________________________________

Do Now: Answer these questions below.

What is the opposite of 18? _______

Round 7.869 to the nearest hundredth. ____________

What is the value of |-34|? ____________

Which is the greatest integer? -33, -31, -28, -17? _____

Write these #’s in order (Least to Greatest) 1, -13, |-9|, -9 ________________________

Vocabulary:

data distribution- ____________________________________________________________________

outlier- _____________________________________________________________________________

Lesson: How can you describe a data distribution?

What would you say to describe this data distribution?

1.) ________________________________________________________________________________

2.) ________________________________________________________________________________

3.) ________________________________________________________________________________

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Guided Class Practice: Use the line plot to answer the questions that follow.

About where is the center of the data? ___________________________________________________

Are there any outliers? ___________ How do you know? ____________________________________

What medal count was the most? _____________________ Is this an outlier? ___________________

What is the outlier? _________________ How do you know? ___________________________________

Which number was chosen the most? _________________________ Least? _______________________

About where is the center of the data? ______________________________________________________

Is the data symmetric or spread to one side? _________________________________________________

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Homework: See Lesson 19-2 Reteaching

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Lesson 3: Mean

Objective:________________________________________________________________

Lesson: How can data be described by a single number?

Vocabulary

mean: ____________________________________________

Guided Practice: Find the mean of each set of data below.

1.) 5,4,4,9,8 2.) 19, 55, 34, 16

3.) 101, 105, 103 4.) 8,2,11,6,8

5.) 85, 70, 84, 91, 88, 92 6.) 28, 32, 36, 40, 42, 57, 58, 59

Homework: Practice 19-3 ODD NUMBERS ONLY!

http://www.google.com/url?sa=i&rct=j&q=&esrc=s&source=images&cd=&cad=rja&uact=8&ved=0CAcQjRw&url=http://web.peanutlabs.com/mean-median-and-mode-when-why-and-how/&ei=HY9XVa7aOobgsATu6oHoAg&bvm=bv.93564037,d.cWc&psig=AFQjCNG716G34Ge4uJhWMlFUxDCk12fRAA&ust=1431887980617242

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Lesson 4: Mean, Median, Mode, Range

Objective: _______________________________________

Do Now: Find the mean of the following set of numbers.

75, 95, 90, 100, 80, 100, 90

Lesson: How can data be described by one number?

Vocabulary

median- __________________________________________________________________________

mode- ____________________________________________________________________________

mean- ____________________________________________________________________________

range- ___________________________________________________________________________

Using the set of numbers above, let’s find the median, mode, and range.

75, 90, 90, 100, 80, 100, 90

Median Mode Range

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Guided Practice: Identify the mean, median, mode, and range for each set of data.

1.) 5, 7, 5, 4, 6, 3, 5 median _______ mode _______ range _______ mean _______

2.) 21, 21, 23, 32, 43 median _______ mode _______ range _______ mean _______

3.) 13, 14, 14, 19, 17, 16 median _______ mode _______ range _______ mean _______

4.) 67, 89, 92, 54, 77, 86, 67 median _______ mode _______ range _______ mean _______

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Game Time: Find the mean, median, mode, and range using the playing cards in each paper clip.

Playing Cards #1

Numbers are ___________________________________________

mean ____________ median ____________ mode ____________ range ____________

Playing Cards #2

Numbers are ___________________________________________


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Playing Cards #3

Numbers are ___________________________________________


Playing Cards #4

Numbers are ___________________________________________


Homework: Reteaching 19-4

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Lesson 5: Histograms Interpret / Construct

Objective: ___________________________________________________________

Do Now: Find the mean, median, mode, and range of the following numbers.

98, 102. 100, 98, 103, 98, 101


Lesson: How can you make and use a frequency table?

Vocabulary

frequency table- ______________________________________________________________________

Step 1- Title your graph

Step 2- Use the frequency of the data to choose the

scale for the vertical axis (y axis)

Step 3- List the pets along the horizontal axis (x axis).

Step 4- Graph the data by drawing a bar for each pet.

________________________

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Step 1- Title your graph

Step 2- Use the frequency of the

data to choose the scale for the

vertical axis (y axis)

Step 3- List the instruments along

the horizontal axis (x axis).

Step 4- Graph the data by

drawing a bar for each

instrument.

________________________

Find the mean, median, mode, and range of the data given in the frequency table above.


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Try These: Using intervals.

1.) Bags of Popcorn sold at the Circus: 62, 65, 58, 31, 64,, 58, 66, 68, 56, 67, 68, 51

Choose a range- The range should cover all the data. Must be equal intervals.

Tally your data

Frequency- Count the tally marks and record.

Bags Tallies Frequency

Now create a histogram.

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2.) Age of Swimmers at a Public Pool: 12, 12, 9, 6, 74, 7, 7, 10, 13, 19, 10, 21, 20, 11, 12, 24


Tally your data


Swimmer’s Ages Tallies Frequency


Homework: Practice 19-5

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Lesson 6: Box Plots (Box and Whisker)

Objective: ___________________________________________________________

Do Now: Complete the interval frequency table and then graph.

Children Shopper’s Ages: 12, 8, 3, 5, 5, 10, 13, 11, 7, 6, 9, 6, 10, 12, 7, 6


Tally your data


Swimmer’s Ages Tallies Frequency


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Lesson: How can you draw a box plot?

Vocabulary

box plot- ___________________________________________________________________________

quartiles- ___________________________________________________________________________

Length of Fish (in.)

Helen wants to make a box plot to show the lengths of the 15 fish she caught.

Steps:

List the numbers from least to greatest.

Find the median, minimum, and maximum values. (Label them)

Find the median of each half.

Label them first, second, and third quartile.

Draw the box plot.

7 9 10

7 13 13

10 15 15

16 11 13

18 14 17

6 7 8 9 10 11 12 13 14 15 16 17 18

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Try These: Create box plots following the rules below.

Steps:





Draw the box plot.

Harry grew 12 giant pumpkins. Their diameters are: 42, 38, 25, 47, 44, 43, 38, 39, 55, 52, 53, 55

a.) What are the maximum and minimum diameters of the pumpkins?

b.) What is the median?

c.) What is the first quartile?

d.) What is the third quartile?

Draw the box plot below.

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Steps:





Draw the box plot.

The sprint times in seconds of students who tried out for the track team: 44, 40, 40, 42, 49, 43, 41,

47, 54, 48, 42, 52, 48

e.) What are the maximum and minimum ?

f.) What is the median?

g.) What is the first quartile?

h.) What is the third quartile?


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Steps:





Draw the box plot.

Test scores students earned on their science tests: 73, 78, 66, 61, 85, 90, 99, 76, 64, 70, 72, 72, 93, 81

i.) What are the maximum and minimum ?

j.) What is the median?

k.) What is the first quartile?

l.) What is the third quartile?


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Steps:





Draw the box plot.

Coach Taylor clocked the speed in miles per hour of Max’s pitches thrown during the first inning of

the middle school game: 45.3, 47, 48.1, 51.3, 55.8, 61.1, 48.5, 60.7, 49

m.) What are the maximum and minimum ?

n.) What is the median?

o.) What is the first quartile?

p.) What is the third quartile?


Homework: Reteaching 19-6

mrs. jubinville mathematics grade 6 unit 12...

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