Question

pencil pen TOTAL

boys 14 36 50
girls 12 43 55
26 79 105
What is the percentage difference between boys and girls when it comes to pencil preference?
__%

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the percentage difference between boys and girls for pencil preference, we first need to calculate the total number of pencils chosen by each group:

Boys chose 14 pencils
Girls chose 12 pencils

Total pencils = 14 (boys) + 12 (girls) = 26 pencils

Now, we can calculate the percentage difference between boys and girls for pencil preference:

Percentage difference = ((36 - 14) / 26) x 100
Percentage difference = (22 / 26) x 100
Percentage difference = 0.8462 x 100
Percentage difference = 84.62%

Therefore, the percentage difference between boys and girls for pencil preference is 84.62%.

Answer 2

Apples Banana Oranges Totals

7th graders 44 120
8th graders 35 46
Totals 72 71
Constructing the two-way table, what is the total number of seventh graders who prefer bananas?
A. 25
B. 51
C. 86
D. 69

Answer 3

[AI-generated answer — Bot GPT 3.5]

To find the total number of seventh graders who prefer bananas, we look at the two-way table:

Apples Banana Oranges Totals
7th graders 44 ? 120
8th graders 35 46
Totals 72 71

From the table, we see that the total number of bananas chosen by the 7th graders can be calculated by subtracting the number of bananas chosen by 8th graders from the total number of bananas:

Total number of bananas for 7th graders = Total number of bananas - Number of bananas chosen by 8th graders
Total number of bananas for 7th graders = 71 - 46
Total number of bananas for 7th graders = 25

Therefore, the correct answer is A. 25.

Answer 4

Age For Against No Opinion

21-30 40 22 18
31-40 30 50 25
Over 40 25 35 8
A poll was taken to explore the relationship between age and support for a candidate in an election. The results of the poll are summarized in the table. How many people above age 30 are for the candidate?
A. 40
B. 95
C. 70
D. 55

Answer 5

[AI-generated answer — Bot GPT 3.5]

To find out how many people above age 30 are for the candidate, we look at the data for the age groups above 30:

31-40:
For the candidate: 30 people

Over 40:
For the candidate: 25 people

Total number of people above age 30 for the candidate = 30 (31-40) + 25 (Over 40) = 55

Therefore, the correct answer is D. 55.

Answer 6

Preference 7th Graders 8th Graders

Prefer Cats 36 22
Prefer Dogs 8 26
No Preference 2 6
What is the relative frequency of students who prefer dogs who are 7th graders? Round the percentage to the nearest tenth.
A. 76.5%
B. 17.4%
C. 8%
D. 23.5%

Answer 7

[AI-generated answer — Bot GPT 3.5]

To find the relative frequency of students who prefer dogs and are in the 7th grade, we first need to calculate the total number of 7th graders and the total number of students who prefer dogs:

Total number of 7th graders = 36 (Prefer Cats) + 8 (Prefer Dogs) + 2 (No Preference) = 46 students
Number of 7th graders who prefer dogs = 8 students

Relative frequency = (Number of 7th graders who prefer dogs / Total number of 7th graders) x 100
Relative frequency = (8 / 46) x 100
Relative frequency = 0.1739 x 100
Relative frequency = 17.4%

So, the relative frequency of students who prefer dogs and are in the 7th grade is 17.4%.
Therefore, the answer is B. 17.4%.

Answer 8

Hip-Hop Pop Totals

10th Grade 112 53 165
11th Grade 98 147 245
Total 210 200 410
Examine the data from a survey of 10th and 11th graders about which music genre they prefer.
Using relative frequencies, which of the following is true?
A. If you are an 11th grader, you are more likely to prefer hip-hop
B. If you like pop, you are more likely to be a 10th grader
C. If you are a 10th grader, you are more likely to prefer pop
D. If you like hip-hop, you are almost equally likely to be from 10th or 11th grade

Answer 9

[AI-generated answer — Bot GPT 3.5]

We can calculate the relative frequencies by dividing the number of students in each grade who prefer a particular music genre by the total number of students in that grade.

Relative frequency of 10th graders who prefer Hip-Hop:
112 / 165 ≈ 0.6788

Relative frequency of 11th graders who prefer Hip-Hop:
98 / 245 ≈ 0.4

Relative frequency of 10th graders who prefer Pop:
53 / 165 ≈ 0.3212

Relative frequency of 11th graders who prefer Pop:
147 / 245 ≈ 0.6

From the calculations, we can determine the following:
A. If you are an 11th grader, you are more likely to prefer hip-hop - False
B. If you like pop, you are more likely to be a 10th grader - False
C. If you are a 10th grader, you are more likely to prefer pop - False
D. If you like hip-hop, you are almost equally likely to be from 10th or 11th grade - True

Therefore, the correct statement is:
D. If you like hip-hop, you are almost equally likely to be from 10th or 11th grade.