the question about help Elena organized in the following two way frequency table? How can you resolve it?

First, the question tells us that Lena has 10 candies that have caramel AND chocolate so thus the first column and first row's value would be 10. Then we are told that there are 3 candies that do NOT contain chocolate OR caramel. This means that the value at column 2, row 2 would be 3. Then we are told that there are 12 candies that contain chocolate. So adding up both values in row 1 should be equal to 12 (10+X=12) which would give us 2 for Column 2, Row 1. We are also told that she has a total of 18 candies so adding up all values should give us 18 (10+2+3+X=18). Thus the value for Column 1, Row 2 would be 3. The complete answer would be: C D C 10 2 D 3 3

whats the point of this bro

Everything in learning has a purpose but not all of them are used for regular everyday tasks. This type of math is specifically used for people who need a different perspective of data in a table.

How did Lena get 3 candies under the label of do not contain chocolate and also contains caramel? Please help me, I am having trouble understanding.

We know that there are 18 candies in total, and 12 of them contain chocolate. This means that 18 − 12 = 6 candies do _not_ contain chocolate. We also know that 3 candies contain neither chocolate nor caramel, and thereby there are 6 − 3 = 3 candies that don't contain chocolate but do contain caramel.

Ya, The last one is confusing can someone help please?

The first helpful clue is the second statement: 10 candies contain both chocolate and caramel. Because it contains both flavors, it should be placed between the 'contain chocolate' row and the 'contain caramel' column. The next clue: 3 candies contain neither chocolate nor caramel, has the same pattern. It should go in the 'do not contain caramel' column, and the 'do not contain chocolate' row. The fourth statement states that there are 12 candies in total that contain chocolate, meaning that the sum of the'contain chocolate' row should equal 12. 12-10 = 2, so there must be 2 chocolate candies that don't have caramel. Finally, we know that there are a total of 18 candies. 18-(10+2+3) = 3. So, there are 3 candies that contain caramel but do not contain chocolate. Hope this helps! :)

I can do the ones with the numbers in the box but when the question doesn't have a box in it then I struggle with the question, how do you do the last question?

First this is actually a analytic problem. You need to see the items,then to find the boxes that have the same information,and copy the number down.Sometimes it is hard to distinguish the information,you need to compare the items and the information in the boxes.

how do I know that the 12 candies that contain chocolate don't contain caramel

you don´t, it says 10 both though so now you know

Is relative frequency supposed to be written as a decimal or fraction?

Relative frequency can be either a fraction or a decimal. Have a blessed, wonderful day!

how did u get two for containing no chocolate nor caramel

It says 3 contain neither Since 12 contain chocolate and 10 contain both, that means the remaining 2 ONLY contains chocolate. Since there are 12 total and 10 contain both. Thensince there are 18 total and 10 contain both that leaves 8, 2 only contain chocolate which leaves 6 and 3 contain neither that leaves 4 that only contain caramel. I hope that makes sense.

Main content

Course: 8th grade > Unit 7

Lesson 4: Two-way tables

Two-way frequency tables

Google Classroom

Learn how to read and use two-way frequency tables.

Let's jump right in and look at a two-way frequency table that came from asking

100

students whether they prefer cats or dogs.

Preference	Male	Female
Prefers dogs	$36$ ‍	$22$ ‍
Prefers cats	$8$ ‍	$26$ ‍
No preference	$2$ ‍	$6$ ‍

The columns of the table tell us whether the student is a male or a female. The rows of the table tell us whether the student prefers dogs, cats, or doesn't have a preference.

Notice that there are two variables-- gender and preference-- this is where the two in two-way frequency table comes from.

The cells tell us the number (or frequency) of students. For example, the

36

is in the male column and the prefers dogs row. This tells us that there are

36

male students who prefer dogs.

How many female students prefer cats?

Row and column totals

To find the number of students that prefer cats, we just add up the number of students in the prefers cats row:

Preference	Male	Female
Prefers dogs	$36$ ‍	$22$ ‍
Prefers cats	$8$ ‍	$26$ ‍
No preference	$2$ ‍	$6$ ‍

Students who prefer cats = 8 + 26 = 34

How many of the students are male?

Let's practice!

Problem 1

Researchers once surveyed college students on their Facebook use. The following two-way table displays data for the sample of students who responded to the survey.

How many students in the survey were in the age category of $18$ ‍ to $22 ?$ ‍

students

Age	Uses Facebook	Does not use Facebook
$18$ ‍ to $22$ ‍	$78$ ‍	$4$ ‍
$23 +$ ‍	$70$ ‍	$67$ ‍

To find how many students in the survey were in the age category of

18

22,

we can add to find the total number of students in that row.

Age	Uses Facebook	Does not use Facebook	TOTAL
$18$ ‍ to $22$ ‍	$78$ ‍	$4$ ‍	$82$ ‍
$23 +$ ‍	$70$ ‍	$67$ ‍	$137$ ‍
TOTAL	$148$ ‍	$71$ ‍	$219$ ‍

There were

82

students in the survey in the age category of

18

22

Problem 2

Researchers once surveyed students on which superpower they would most like to have. The following two-way table displays data for the sample of students who responded to the survey.

How many males in the survey chose to fly as their superpower?

students

Superpower	Male	Female
Fly	$26$ ‍	$12$ ‍
Invisibility	$14$ ‍	$32$ ‍
Other	$10$ ‍	$8$ ‍

To find how many males in the survey chose to fly as their superpower, we look for the count in the table that corresponds to both "Male" and "Fly".

Superpower	Male	Female
Fly	$26$ ‍	$12$ ‍
Invisibility	$14$ ‍	$32$ ‍
Other	$10$ ‍	$8$ ‍

There were

26

males in the survey who chose to fly as their superpower.

Problem 3

Researchers surveyed recent graduates of two different universities about their income. The following two-way table displays data for the sample of graduates who responded to the survey.

How many graduates in the sample came from University A?

graduates

Income	University A	University B
Under $$ 20, 000$ ‍	$35$ ‍	$40$ ‍
$$ 20, 000$ ‍ to $$ 39, 999$ ‍	$90$ ‍	$63$ ‍
$$ 40, 000$ ‍ and over	$35$ ‍	$37$ ‍

To find how many graduates in the sample came from University A, we can add to find the total number of students in that column.

Income	University A	University B	TOTAL
Under $$ 20, 000$ ‍	$35$ ‍	$40$ ‍	$75$ ‍
$$ 20, 000$ ‍ to $$ 39, 999$ ‍	$90$ ‍	$63$ ‍	$153$ ‍
$$ 40, 000$ ‍ and over	$35$ ‍	$37$ ‍	$72$ ‍
TOTAL	$160$ ‍	$140$ ‍	$300$ ‍

There were

160

graduates in the sample that came from University A.

Challenge problem

Lena knows the following information about her box of

18

candies:

$10$ ‍ candies contain both chocolate and caramel.
$3$ ‍ candies contain neither chocolate nor caramel.
$12$ ‍ candies in total contain chocolate.

Help Lena organize the results in the following two-way frequency table.

	Contain caramel	Do not contain caramel
Contain chocolate	Your answer should be an integer, like $6$ ‍ a simplified proper fraction, like $3 / 5$ ‍ a simplified improper fraction, like $7 / 4$ ‍ a mixed number, like $1 3 / 4$ ‍ an exact decimal, like $0.75$ ‍ a multiple of pi, like $12 pi$ ‍ or $2 / 3 pi$ ‍	Your answer should be an integer, like $6$ ‍ a simplified proper fraction, like $3 / 5$ ‍ a simplified improper fraction, like $7 / 4$ ‍ a mixed number, like $1 3 / 4$ ‍ an exact decimal, like $0.75$ ‍ a multiple of pi, like $12 pi$ ‍ or $2 / 3 pi$ ‍
Do not contain chocolate	Your answer should be an integer, like $6$ ‍ a simplified proper fraction, like $3 / 5$ ‍ a simplified improper fraction, like $7 / 4$ ‍ a mixed number, like $1 3 / 4$ ‍ an exact decimal, like $0.75$ ‍ a multiple of pi, like $12 pi$ ‍ or $2 / 3 pi$ ‍	Your answer should be an integer, like $6$ ‍ a simplified proper fraction, like $3 / 5$ ‍ a simplified improper fraction, like $7 / 4$ ‍ a mixed number, like $1 3 / 4$ ‍ an exact decimal, like $0.75$ ‍ a multiple of pi, like $12 pi$ ‍ or $2 / 3 pi$ ‍

	Contain caramel	Do not contain caramel
Contain chocolate	$10$ ‍	$2$ ‍
Do not contain chocolate	$3$ ‍	$3$ ‍

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Estefany Vazquez
Posted 5 years ago. Direct link to Estefany Vazquez's post “the question about help E...”
the question about help Elena organized in the following two way frequency table? How can you resolve it?
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(23 votes)
Answer
- Nazar Khan
  Posted 3 years ago. Direct link to Nazar Khan's post “First, the question tells...”
  First, the question tells us that Lena has 10 candies that have caramel AND chocolate so thus the first column and first row's value would be 10. Then we are told that there are 3 candies that do NOT contain chocolate OR caramel. This means that the value at column 2, row 2 would be 3. Then we are told that there are 12 candies that contain chocolate. So adding up both values in row 1 should be equal to 12 (10+X=12) which would give us 2 for Column 2, Row 1. We are also told that she has a total of 18 candies so adding up all values should give us 18 (10+2+3+X=18). Thus the value for Column 1, Row 2 would be 3. The complete answer would be:
  C D
  C 10 2
  D 3 3
  Comment on Nazar Khan's post “First, the question tells...”
  (41 votes)
Marco
Posted 4 years ago. Direct link to Marco's post “How did Lena get 3 candie...”
How did Lena get 3 candies under the label of do not contain chocolate and also contains caramel? Please help me, I am having trouble understanding.
Button navigates to signup pageComment on Marco's post “How did Lena get 3 candie...”
(10 votes)
Answer
- Jerry Nilsson
  Posted 4 years ago. Direct link to Jerry Nilsson's post “We know that there are 18...”
  We know that there are 18 candies in total, and 12 of them contain chocolate.
  This means that 18 − 12 = 6 candies do not contain chocolate.
  
  We also know that 3 candies contain neither chocolate nor caramel, and thereby there are 6 − 3 = 3 candies that don't contain chocolate but do contain caramel.
  Comment on Jerry Nilsson's post “We know that there are 18...”
  (29 votes)
Sam Hung
Posted 7 years ago. Direct link to Sam Hung's post “I can do the ones with th...”
I can do the ones with the numbers in the box but when the question doesn't have a box in it then I struggle with the question, how do you do the last question?
Button navigates to signup pageComment on Sam Hung's post “I can do the ones with th...”
(9 votes)
Answer
- John He
  Posted 7 years ago. Direct link to John He's post “First this is actually a ...”
  First this is actually a analytic problem. You need to see the items,then to find the boxes that have the same information,and copy the number down.Sometimes it is hard to distinguish the information,you need to compare the items and the information in the boxes.
  Comment on John He's post “First this is actually a ...”
  (25 votes)
s_mehki.renney
Posted a year ago. Direct link to s_mehki.renney's post “whats the point of this b...”
whats the point of this bro
Button navigates to signup pageComment on s_mehki.renney's post “whats the point of this b...”
(16 votes)
Answer
- Blake Gould
  Posted 3 months ago. Direct link to Blake Gould's post “Everything in learning ha...”
  Everything in learning has a purpose but not all of them are used for regular everyday tasks. This type of math is specifically used for people who need a different perspective of data in a table.
  Button navigates to signup page
  (2 votes)
Lakin Whited
Posted a year ago. Direct link to Lakin Whited's post “Ya, The last one is confu...”
Ya, The last one is confusing can someone help please?
Button navigates to signup pageComment on Lakin Whited's post “Ya, The last one is confu...”
(10 votes)
Answer
- CC
  Posted a year ago. Direct link to CC's post “The first helpful clue is...”
  The first helpful clue is the second statement: 10 candies contain both chocolate and caramel. Because it contains both flavors, it should be placed between the 'contain chocolate' row and the 'contain caramel' column.
  The next clue: 3 candies contain neither chocolate nor caramel, has the same pattern. It should go in the 'do not contain caramel' column, and the 'do not contain chocolate' row. The fourth statement states that there are 12 candies in total that contain chocolate, meaning that the sum of the'contain chocolate' row should equal 12. 12-10 = 2, so there must be 2 chocolate candies that don't have caramel.
  Finally, we know that there are a total of 18 candies. 18-(10+2+3) = 3. So, there are 3 candies that contain caramel but do not contain chocolate.
  Hope this helps! :)
  Comment on CC's post “The first helpful clue is...”
  (13 votes)
Isaiah Buckley
Posted 4 years ago. Direct link to Isaiah Buckley's post “waffles are the answer to...”
waffles are the answer to all of life's problems
Button navigates to signup pageComment on Isaiah Buckley's post “waffles are the answer to...”
(12 votes)
Answer
- Gonzalez, Mia
  Posted a year ago. Direct link to Gonzalez, Mia's post “yes.”
  yes.
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  (2 votes)
Elizabeth B
Posted 6 years ago. Direct link to Elizabeth B's post “Is relative frequency sup...”
Is relative frequency supposed to be written as a decimal or fraction?
Button navigates to signup pageComment on Elizabeth B's post “Is relative frequency sup...”
(4 votes)
Answer
- Ian Pulizzotto
  Posted 6 years ago. Direct link to Ian Pulizzotto's post “Relative frequency can be...”
  Relative frequency can be either a fraction or a decimal.
  
  Have a blessed, wonderful day!
  Comment on Ian Pulizzotto's post “Relative frequency can be...”
  (10 votes)
Elizabeth penny
Posted 3 years ago. Direct link to Elizabeth penny's post “how did u get two for con...”
how did u get two for containing no chocolate nor caramel
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(4 votes)
Answer
- loumast17
  Posted 3 years ago. Direct link to loumast17's post “It says 3 contain neither...”
  It says 3 contain neither
  
  Since 12 contain chocolate and 10 contain both, that means the remaining 2 ONLY contains chocolate. Since there are 12 total and 10 contain both.
  
  Thensince there are 18 total and 10 contain both that leaves 8, 2 only contain chocolate which leaves 6 and 3 contain neither that leaves 4 that only contain caramel.
  
  I hope that makes sense.
  Comment on loumast17's post “It says 3 contain neither...”
  (10 votes)
SavannahK
Posted 3 years ago. Direct link to SavannahK's post “how do I know that the 12...”
how do I know that the 12 candies that contain chocolate don't contain caramel
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(7 votes)
Answer
- ✴
  Posted a year ago. Direct link to ✴'s post “you don´t, it says 10 bot...”
  you don´t, it says 10 both though so now you know
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  (2 votes)
lenorrisrobinson44
Posted 3 years ago. Direct link to lenorrisrobinson44's post “How did you find out ther...”
How did you find out there were 10 people that like chocolate but hates caramel
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(6 votes)
Answer