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Laabri

2/17/2023-Unit 2 Test--Analyzing Categorical Data

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Last updated about 3 years ago
26 Nsɛmmisa
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Asemmisa {{asɛmmisaAhyɛnsode}}
1.

Students at a local high school were asked which gaming system they preferred: the Playstation 3, the Xbox 360 or neither. The graph shows the results. Explain why the graph may be misleading.

Choose ALL that may apply.

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2.

Draw a new graph to display the data more accurately.

Include a title, appropriate scale and label x and y axes.

(use show your work or draw it on your scratch paper)

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3.

Annual Teacher Salaries in Hampton Roads are displayed in the graph. What does this graph tell us AND are there any features that make it deceptive?

Choose ALL that may apply.

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4.

Draw a new graph to display the data more accurately.

Include a title, appropriate scale and label x and y axes.

(use show your work or draw it on your scratch paper)

Asemmisa {{asɛmmisaAhyɛnsode}}
5.

A random sample of 1200 U.S. college students was asked, “What is your perception of your own body? Do you feel that you are overweight, underweight, or about right?” The two-way table summarizes the data on perceived body image by gender. The segmented bar graph displays the distribution of perceived body image by gender.

Find the relative frequency of females who believe they are about right.

Express your answer as a % rounded to a whole number.

Asemmisa {{asɛmmisaAhyɛnsode}}
6.

A random sample of 1200 U.S. college students was asked, “What is your perception of your own body? Do you feel that you are overweight, underweight, or about right?” The two-way table summarizes the data on perceived body image by gender. The segmented bar graph displays the distribution of perceived body image by gender.

Find the relative frequency of females who believe they are overweight.

Express your answer as a % rounded to a whole number.

Asemmisa {{asɛmmisaAhyɛnsode}}
7.

A random sample of 1200 U.S. college students was asked, “What is your perception of your own body? Do you feel that you are overweight, underweight, or about right?” The two-way table summarizes the data on perceived body image by gender. The segmented bar graph displays the distribution of perceived body image by gender.

Find the relative frequency of females who believe they are underweight.

Express your answer as a % rounded to a whole number.

Asemmisa {{asɛmmisaAhyɛnsode}}
8.

A random sample of 1200 U.S. college students was asked, “What is your perception of your own body? Do you feel that you are overweight, underweight, or about right?” The two-way table summarizes the data on perceived body image by gender. The segmented bar graph displays the distribution of perceived body image by gender.

Find the relative frequency of males who believe they are about right.

Express your answer as a % rounded to a whole number.

Asemmisa {{asɛmmisaAhyɛnsode}}
9.

A random sample of 1200 U.S. college students was asked, “What is your perception of your own body? Do you feel that you are overweight, underweight, or about right?” The two-way table summarizes the data on perceived body image by gender. The segmented bar graph displays the distribution of perceived body image by gender.

Find the relative frequency of males who believe they are overweight.

Express your answer as a % rounded to a whole number.

Asemmisa {{asɛmmisaAhyɛnsode}}
10.

A random sample of 1200 U.S. college students was asked, “What is your perception of your own body? Do you feel that you are overweight, underweight, or about right?” The two-way table summarizes the data on perceived body image by gender. The segmented bar graph displays the distribution of perceived body image by gender.

Find the relative frequency of males who believe they are underweight.

Express your answer as a % rounded to a whole number.

Asemmisa {{asɛmmisaAhyɛnsode}}
11.

A random sample of 1200 U.S. college students was asked, “What is your perception of your own body? Do you feel that you are overweight, underweight, or about right?” The two-way table summarizes the data on perceived body image by gender. The segmented bar graph displays the distribution of perceived body image by gender.

Draw a segmented bar graph to describe the data.

Include a title, appropriate scale and label x and y axes.

(use show your work or draw it on your scratch paper)

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12.

Based on the data from #11, is gender associated or independent of body image?

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13.

Based on your answer in #12, give an explantion.

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14.

Imagine tossing a fair coin 3 times.

Describe the sample space in show your work.

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15.

Imagine tossing a fair coin 3 times.

Given the sample space, what is the total number of outcomes?

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16.

Imagine tossing a fair coin 3 times.

Define event A as getting at least 2 heads. Find P(A).

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17.

Imagine tossing a fair coin 3 times.

Define event B as getting at exactly 1 tails. Find P(B).

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18.

In one of Mrs. Boyd's prob/stats classes, students were asked to decide on an ambition they want to achieve out of the following 4 options. The distributed probabilities for the males in the class are described below.

Given the data, what is the probability that a student will choose nobel prize or academy award?

(express your answer as a decimal to the hundreths place)

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19.

In one of Mrs. Boyd's prob/stats classes, students were asked to decide on an ambition they want to achieve out of the following 4 options. The distributed probabilities for the males in the class are described below.

Given the data, what is the probability that a student will NOT choose grammy?

(express your answer as a decimal to the hundreths place)

Asemmisa {{asɛmmisaAhyɛnsode}}
20.

In one of Mrs. Boyd's prob/stats classes, students were asked to decide on an ambition they want to achieve out of the following 4 options. The distributed probabilities for the males in the class are described below.

Given the data, what is the probability that a student will NOT choose gold medal or nobel prize?

(express your answer as a decimal to the hundreths place)

Asemmisa {{asɛmmisaAhyɛnsode}}
21.

Create a 2 way table based on the following information:

A random sample of 156 men and woman were asked if they wake up before 6:00AM. 34 out of 72 women stated that they wake up before 6:00AM and 48 men stated that they wake up after 6:00AM.

Create a 2 way table in show your work or upload your own version. (be sure it's legible)

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22.

Find the probability that a randomly selected respondent is male.

Express your answer as a decimal. Round your answer to 3 places beyond the decimal (the thousdandth's place)

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23.

Find the probability that a randomly selected respondent has one month’s income or more set aside for emergencies.

Express your answer as a decimal. Round your answer to 3 places beyond the decimal (the thousdandth's place)

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24.

Find the probability that a randomly selected respondent is a woman AND has less than one month’s income set aside for emergencies.

Express your answer as a decimal. Round your answer to 3 places beyond the decimal (the thousdandth's place)

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25.

Find the probability that a randomly selected respondent is a woman OR has one month’s income or more set aside for emergencies.

Express your answer as a decimal. Round your answer to 3 places beyond the decimal (the thousdandth's place)

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26.

Given a respondent is male, find the probability that a randomly selected respondent has less than one month’s income set aside for emergencies.

Express your answer as a decimal. Round your answer to 3 places beyond the decimal (the thousdandth's place)