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

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 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.

The candies one was difficult and I'm sure I can speak for my class when I say this. I hope that our teacher doesn't end up putting a problem like this on our test. Yikes! That'll be scary/tuff if she do! Hahaha

Honestly it was not that hard for me, rather a fun, quick, logic challenge.🙂

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

Two-way frequency tables

CCSS.Math:

8.SP.A.4

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?

[Show answer]

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	start color #11accd, 8, end color #11accd	start color #11accd, 26, end color #11accd
No preference	2	6

start text, S, t, u, d, e, n, t, s, space, w, h, o, space, p, r, e, f, e, r, space, c, a, t, s, end text, equals, start color #11accd, 8, end color #11accd, plus, start color #11accd, 26, end color #11accd, equals, 34

How many of the students are male?

[Show answer]

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, question mark

students

Age	Uses Facebook	Does not use Facebook
18 to 22	78	4
23, start text, plus, end text	70	67

[Show solution]

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

[Show solution]

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 dollar sign, 20, start text, comma, end text, 000	35	40
dollar sign, 20, start text, comma, end text, 000 to dollar sign, 39, start text, comma, end text, 999	90	63
dollar sign, 40, start text, comma, end text, 000 and over	35	37

[Show solution]

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, slash, 5 a simplified improper fraction, like 7, slash, 4 a mixed number, like 1, space, 3, slash, 4 an exact decimal, like 0, point, 75 a multiple of pi, like 12, space, start text, p, i, end text or 2, slash, 3, space, start text, p, i, end text	Your answer should be an integer, like 6 a simplified proper fraction, like 3, slash, 5 a simplified improper fraction, like 7, slash, 4 a mixed number, like 1, space, 3, slash, 4 an exact decimal, like 0, point, 75 a multiple of pi, like 12, space, start text, p, i, end text or 2, slash, 3, space, start text, p, i, end text
Do not contain chocolate	Your answer should be an integer, like 6 a simplified proper fraction, like 3, slash, 5 a simplified improper fraction, like 7, slash, 4 a mixed number, like 1, space, 3, slash, 4 an exact decimal, like 0, point, 75 a multiple of pi, like 12, space, start text, p, i, end text or 2, slash, 3, space, start text, p, i, end text	Your answer should be an integer, like 6 a simplified proper fraction, like 3, slash, 5 a simplified improper fraction, like 7, slash, 4 a mixed number, like 1, space, 3, slash, 4 an exact decimal, like 0, point, 75 a multiple of pi, like 12, space, start text, p, i, end text or 2, slash, 3, space, start text, p, i, end text

[Show answer]

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Estefany Vazquez
Posted 4 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?
(12 votes)
Answer
- Nazar Khan
  Posted 2 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
  (18 votes)
Sam Hung
Posted 6 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?
(7 votes)
Answer
- John He
  Posted 6 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.
  (21 votes)
Marco
Posted 3 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.
(5 votes)
Answer
- Jerry Nilsson
  Posted 3 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.
  (15 votes)
s_mehki.renney
Posted 3 months ago. Direct link to s_mehki.renney's post “whats the point of this b...”
whats the point of this bro
(8 votes)
Answer
Elizabeth B
Posted 5 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?
(3 votes)
Answer
- Ian Pulizzotto
  Posted 5 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!
  (9 votes)
SavannahK
Posted 2 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
(7 votes)
Answer
lenorrisrobinson44
Posted 2 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
(5 votes)
Answer
24hollowayn
Posted 3 years ago. Direct link to 24hollowayn's post “The candies one was diffi...”
The candies one was difficult and I'm sure I can speak for my class when I say this. I hope that our teacher doesn't end up putting a problem like this on our test. Yikes! That'll be scary/tuff if she do! Hahaha
(4 votes)
Answer
- ✴
  Posted 2 months ago. Direct link to ✴'s post “Honestly it was not that ...”
  Honestly it was not that hard for me, rather a fun, quick, logic challenge.🙂
  (3 votes)
Elizabeth penny
Posted 2 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
(3 votes)
Answer
- loumast17
  Posted 2 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.
  (2 votes)
browns7
Posted 3 years ago. Direct link to browns7's post “how did you get two when ...”
how did you get two when it says that 12 candies in total contain chocolate but i would assuming that it would be 12 because it do-sent say anything about containing caramel
(3 votes)
Answer

Statistics and probability

Unit 1: Lesson 2

Two-way frequency tables

Row and column totals

Let's practice!

Problem 1

Problem 2

Problem 3

Challenge problem

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