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Objective

Organize and interpret data in a frequency table

Vocabulary

Statistics

Collecting, organizing, and interpreting data

Vocabulary

Data

Pieces of information

Vocabulary

Frequency Table

Shows the number of pieces of data that fall within given intervals

Vocabulary

Scale

The set of all possible values of a given measurement, including the least and greatest numbers in the set, separated by the intervals

used

Vocabulary

Interval

Separates the scale into equal parts

Vocabulary

Tally mark

Counters used to record items in a group

Example 1 Make a Frequency Table

Example 2 Make and Use a Frequency Table

Example 3 Interpret Data

FOOTBALL Winning Super Bowl scores from 1983 to 2002 are listed below. Make a frequency table of the data.

27383846

39422055

20375230

49273531

34233420

Winning Scores

Source: superbowl.com

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You need a ruler!

Make a frequency table with at least 6 rows using the lines on your paper

FOOTBALL Winning Super Bowl scores from 1983 to 2002 are listed below. Make a frequency table of the data.

27383846

39422055

20375230

49273531

34233420

Winning Scores


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A frequency table needs 3 columns

Leave the top row with no columns for the title

27383846

39422055

20375230

49273531

34233420

Winning Scores


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Add Title

Winning Scores

Add headings to chart

The data in the first column which is “scores”

Scores

The second column is labeled “tally”

Tally

The third column is “frequency”

Frequency

27383846

39422055

20375230

49273531

34233420

Winning Scores


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Winning Scores

Scores Tally Frequency

Choose an appropriate scale and interval for the data

Determine the smallest number

Determine the largest number

27383846

39422055

20375230

49273531

34233420

Winning Scores


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Winning Scores


The interval must be the same on each row

Since the smallest number is 20 use 20-29 for the first interval

20-29

The interval is 10 so add 10 to each number to make a new interval

30-39

40-49

50-59

27383846

39422055

20375230

49273531

34233420

Winning Scores


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Winning Scores


20-29

30-39

40-49

50-59

Make a tally mark for each number20 is in the group of 20-29

I

31 is in the group of 30-39

I


I


I


I

27383846

39422055

20375230

49273531

34233420

Winning Scores


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Winning Scores


20-29

30-39

40-49

50-59


I


I


I


I


I

II

I

I

On the 5th tally put a diagonal across the other 4 tally marks

27383846

39422055

20375230

49273531

34233420

Winning Scores


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Winning Scores


20-29

30-39

40-49

50-59


I


I


I


I


I

II

I

III

I

I

I

27383846

39422055

20375230

49273531

34233420

Winning Scores


1/3

Winning Scores


20-29

30-39

40-49

50-59


I


I


I


I


I

II

I

III

I

I

II

I

I

I

27383846

39422055

20375230

49273531

34233420

Winning Scores


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Winning Scores


20-29

30-39

40-49

50-59

I

I I

I

I

II

I

III

I

I

II

I

I

I

Count the tally marks and put the number in the frequency column

6

9

32

Answer:

TEMPERATURE The daily high temperatures for the last two weeks of August in Cleveland, Ohio are listed below. Make a frequency table of the data.

High Temperature (F)

83 85 76 88 69 75 8190 83 72 79 81 83 92

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Answer:

2II90-99

7IIII II80-89

4IIII70-79

1I60-69

FrequencyTallyPoints

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High Temperature (F0)

FPPRJ

FRRJC

PCFPF

PPFRF

FPFRP

Favorite Types of Music

R=rock, J=jazz, C=country, F=top 40, P=rap

MUSIC Kaley asked her classmates about their favorite types of music. The results are shown in the table. Make a frequency table of the data. Then determine the favorite and least favorite types of music.

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Make a frequency table with 7 rows using the lines on your paper

There are 5 categories

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A frequency table needs 3 columns

Leave the top row with no columns for the title

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FPPRJFRRJCPCFPFPPFRFFPFRP



Add Title


Add headings to chart

Type of Music Tally

The data in the first column which is “type of music”

The second column is labeled “tally”

The third column is “frequency”

Frequency

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Type of Music Tally Frequency

When there are letters there is no need for intervals

Write in the categories - DO NOT abbreviate, then put the symbol in parenthesis

Rock (R)

Jazz (J)

Country (C)

Top 40 (F)

Rap (P)

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Mark a tally mark for each letter

Rock (R)

Jazz (J)

Country (C)

Top 40 (F)

Rap (P) I

II

I

I

2/3






Rock (R)

Jazz (J)

Country (C)

Top 40 (F)

Rap (P) I

II

I

I

II

I

I

I

2/3






Rock (R)

Jazz (J)

Country (C)

Top 40 (F)

Rap (P) I

II

I

I

II

I

I

I

II

I

I

2/3






Rock (R)

Jazz (J)

Country (C)

Top 40 (F)

Rap (P) I

II

I

I

II

I

I

I

II

I

II

I

I

2/3






Rock (R)

Jazz (J)

Country (C)

Top 40 (F)

Rap (P) I

II

I

I

II

I

I

I

II

I

II

I

I

I

II

II

2/3






Rock (R)

Jazz (J)

Country (C)

Top 40 (F)

Rap (P) I

II

I

I

II

I

I

I

II

I

II

I

I

I

II

II

Count the tally marks and put the number in the frequency column

5

2

2

8

8

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Rock (R)

Jazz (J)

Country (C)

Top 40 (F)

Rap (P) I

II

I

I

II

I

I

I

II

I

II

I

I

I

II

II

Favorite will have the most frequency

5

2

2

8

8

Then determine the favorite and least favorite types of music.

There are 2 favorites Top 40 and Rap

Least favorite will have the least frequency

There are 2 least favorites Jazz and Country

Answer:

Favorite - Top 40 and Rap

Least Favorite - Jazz and Country

COLORS Samantha asked her classmates about their favorite colors. The results are shown in the table. Make a frequency table of the data.

Then determine the favorite and least favorite colors.

YBYPY

RYBPR

YLRYP

LPBRY

Favorite Colors

Y=yellow, R=red, B=blue, P=pink, L=purple

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Favorite ColorAnswer:

2IIpurple

4IIIIpink

3IIIblue

4IIIIred

7IIII IIyellow

FrequencyTallyColor

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Favorite - yellow

Least favorite - purple

Record High Temperatures in US

TEMPERATURE The frequency table shows the record high temperatures reported by each state of the United States. How many states have reported temperatures above 111?

12

5

Frequency

1I130–135

2II124–129

14IIII IIII IIII118–123

16IIII IIII IIII I112–117

IIII IIII II106–111

IIII100–105

TallyTemp (F)

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The key is “above” 1110

Add the frequency of all temperatures above 1110

Answer:

33 states

above

7th Grade Boys Weight

WEIGHT The frequency table shows the results of a survey of the weights of boys in a seventh grade class. How many of the boys weigh less than 100 pounds?

Answer: 15

5

3

Frequency

1I120-129

4IIII110-119

8IIII III100-109

7IIII II90-99

IIII80-89

III70-79

TallyWeight

*

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Assignment

Lesson 2:1 Frequency Tables 4 - 12 All

Documents

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