CW: Relative Frequency Tables - Part 2

Analyzing Relative Frequency Tables

What does the data tell you?

REMEMBER:

In a RELATIVE FREQUENCY TABLE, each number is a decimal that represents a percent.

Multiple Choice

^{QUESTION 1}

Is this a relative frequency table?

• Yes

• No

TIPS

If a relative frequency has fewer digits than the others, add a zero to the end of it.

EXAMPLE:

> Change 0.2 to 0.20 (means 20%)

Multiple Choice

^{QUESTION 2}

In ROW 2, there are several single-digit decimals.

HOW CAN YOU REWRITE THOSE NUMBERS TO MAKE THE TABLE MORE READABLE?

• 20 | 40 | 60

• 0.02 | 0.04 | 0.06

• 0.20 | 0.40 | 0.60

• 0.2% | 0.4% | 0.6%

Multiple Choice

^{QUESTION 3}

Which answer choice properly describes the 0.2 at the beginning of Row 2?

• 2% of the adults surveyed rode the ferris wheel.

• 20% of the adults rode the ferris wheel.

• 2 adults rode the ferris wheel.

• 20 of the children were also adults.

REMEMBER:

In a RELATIVE FREQUENCY TABLE,

you have to read the description above the table to know how many people were actually surveyed.

Fill in the Blank

^{QUESTION 4}

How many people were surveyed?

DID YOU KNOW?

Each of the decimals in a Relative Frequency table represents a

PERCENT OF THE TOTAL SURVEYED.

OK, SO?

So take any of the decimals

AND MULTIPLY IT WITH THE TOTAL SURVEYED

to find the actual number of votes for that box.

WHAT?!

(Decimal) × (Total Surveyed) = Actual # Of Votes

Read the description above the table to find the "Total Surveyed."

DON'T MULTIPLY THE DECIMAL BY 1...NOTHING WILL HAPPEN!!

Multiple Choice

^{QUESTION 5}

If 0.52 means that "52% of the people surveyed rode the ferris wheel"...

THEN HOW DO YOU FIND THE ACTUAL NUMBER OF PEOPLE WHO RODE THE FERRIS WHEEL?

• Do this:

  0.52 × (People Surveyed)

• Do this:

  0.52 + 0.48

• No math is involved; 0.52 also means 52 people actually rode the ferris wheel.

• Bribe the guy who operates the ferris wheel.

YOU FORGOT ALREADY?!

Take any of the decimals

AND MULTIPLY IT WITH THE TOTAL SURVEYED

to find the actual number of votes for that box.

REMEMBER:

In a RELATIVE FREQUENCY TABLE,

you have to read the description above the table to know how many people were actually surveyed.

Fill in the Blank

^{QUESTION 6}

How many people were surveyed?

Fill in the Blank

^{QUESTION 7}

If 0.52 means that "52% of the people surveyed rode the ferris wheel"...

THEN WHAT IS THE ACTUAL NUMBER OF PEOPLE WHO RODE THE FERRIS WHEEL?

Fill in the Blank

^{QUESTION 8}

If 0.48 means that "48% of the people surveyed did not ride the ferris wheel"...

THEN WHAT IS THE ACTUAL NUMBER OF PEOPLE WHO DID NOT RIDE THE FERRIS WHEEL?

Multiple Choice

^{QUESTION 9}

How many children were surveyed?

HINT: DO THE MATH WE JUST TALKED ABOUT.

• 4

• 40

• 60

• 0

Multiple Choice

^{QUESTION 10}

How many adults were surveyed?

HINT: DO THE MATH WE JUST TALKED ABOUT.

• 6

• 60

• 80

• 90

REVERSE!

Normal Frequency Table >> Relative Frequency Table

REMEMBER:

In a FREQUENCY TABLE,

each box shows how many

OF THE TOTAL PEOPLE SURVEYED

voted for that specific option.

DID YOU KNOW?

The phrase "15 out of 20"

CAN BE WRITTEN AS THE FRACTION: ¹⁵/₂₀

AND??

You can take that fraction and

DIVIDE IT TO GET A PROBABILITY.

¹⁵/₂₀ = 0.75

YEAH...SO??

You can use this trick to turn a

"Frequency Table"

into a

"Relative Frequency Table"

(Number) ÷ (Grand Total) = Relative Frequency

Fill in the Blank

^{QUESTION 11}

A gas company collected the following data about their customers.

HOW MANY TOTAL CUSTOMERS WERE TRACKED TO COLLECT THIS DATA?

Multiple Choice

^{QUESTION 12}

According to the table, 86 out of ____ customers paid by mail.

• 86 out of 114 customers

  paid by mail.

• 86 out of 200 customers

  paid by mail.

• 86 out of 66 customers

  paid by mail.

• 86 out of control customers

  paid by mail.

DON'T FORGET:

In a FREQUENCY TABLE,

each box shows how many

OF THE TOTAL PEOPLE SURVEYED

voted for that specific option.

YEAH...SO??

You can use this trick to turn a

"Frequency Table"

into a

"Relative Frequency Table"

(Number) ÷ (Grand Total) = Relative Frequency

Multiple Choice

^{QUESTION 13}

The phrase "86 out of 200" means 86/200

HOW WOULD YOU WRITE THAT AS A RELATIVE FREQUENCY?

• Write it as

  0.43

• Write it as

  0.48

• Write it as

  0.86

• Write it as

  86.200

Fill in the Blank

^{QUESTION 14}

What is the RELATIVE FREQUENCY for how many customers paid online?

Fill in the Blank

^{QUESTION 15}

What is the RELATIVE FREQUENCY for how many customers paid late?

Fill in the Blank

^{QUESTION 16}

What is the RELATIVE FREQUENCY for how many customers paid by mail and paid on time?

Fill in the Blank

^{QUESTION 17}

What is the RELATIVE FREQUENCY for how many customers paid by mail and paid late?

Fill in the Blank

^{QUESTION 18}

What is the RELATIVE FREQUENCY for how many customers paid online and paid late?

Fill in the Blank

^{QUESTION 19}

What is the RELATIVE FREQUENCY for how many customers paid online and on time?

Multiple Choice

^{QUESTION 20}

If this was a RELATIVE FREQUENCY TABLE, what would you put in the bottom-right corner for the Grand Total?

• 200

• 100

• 1

• x

• a picture of

  Ms. Andrews dunking on Mr. Snyder

REMEMBER:

In a RELATIVE FREQUENCY TABLE,

the Grand Total is always 1

and it represents 100% of the people surveyed.