Statistics & Probability
Data analysis, probability distributions, hypothesis testing, and statistical methods.
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part ii – constructed response 1. the table below shows the age of chic…
### Part a: Scatter Plot To draw the scatter plot: - **x - axis (Horizontal)**: Label it "Age in Years (x)". The values of \( x \) are \( 3, 2, 7, 1, 2, 5, 1, 4, 2, 3 \). - **y - …
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from unit 1, lesson 2 the box plot represents the distribution of the n…
Since the problem description is incomplete (it just shows a box - plot but no specific question like finding the median, inter - quartile range, or analyzing the data), we can't …
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u2l1 mastery check 25-26 (9/10/25) how are \similar\ and \different\ re…
B. They are opposite words
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to say what will happen in the future based on available information. *…
predict
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youre telling your friend alex about your plan of creating a youtube ch…
C. A counterclaim is an argument that tries to discredit the original claim.
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from unit 1, lesson 2 5 the box plot represents the distribution of the…
Since the problem is not fully stated (e.g., what is being asked about the box - plot, like finding the median, quartiles, range, etc.), we can't provide a solution. Please provid…
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from unit 1, lesson 2 the box plot represents the distribution of the n…
It is not possible to find the mean from the box plot alone. A box plot only provides the five - number summary (minimum, $Q_1$, median, $Q_3$, maximum) and information about the …
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3. one hundred fifty random children were asked whether or not they own…
### Part a: Two - way Frequency Table #### Step 1: Determine the number of children who own a bike and did not play outside We know that 104 children own a bike and 35 of them pla…
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read the excerpt from act 3, scene 2 of the tragedy of macbeth. macbeth…
B. the consuming power of guilt
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identifying number of observations fishing contest number of fish caugh…
D. 16 ### Second Sub - Question (Median and Range of Fish Caught)
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a teacher wants to know the favorite school subject of all the students…
B. The sample is likely to be biased because it only includes students from one class
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the histogram shows the gallons of gas drivers purchased each week. com…
s: 1. 5, 30 2. 3 3. 15
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read the excerpt from \votes for women,\ a speech by mark twain from 19…
A. I should like to see the time come when women shall help to make the laws. I should like to see that whiplash, the ballot ....
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the website designer of a company surveys 75 company employees at rando…
C. Because the designer surveys employees at random, the survey is not biased and is representative of the larger population. (Note: Assuming the options are labeled A, B, C, D wi…
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you read the following excerpt: \four score and seven years ago our fat…
C. Idea
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a company’s sales manager uses the monthly sales data from the highest …
A. Because the manager uses the monthly sales data from only the highest performers on the sales team, the sales data is biased and not representative of the larger population.
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the scatterplot for a set of data points is shown. identify any potenti…
C. both point P and point Q
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a school principal wants to understand the general opinion of all stude…
B. The sample is likely to be representative because it includes students from all grades
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a theater owner designs a survey to determine if customers who purchase…
The sample is biased, so the survey results are likely not representative of the larger population.
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read this passage from chapter 1 of narrative of the life of frederick …
It serves to point out that basing the justification of enslavement on the story of Ham is unsound.
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“we know through painful experience that freedom is never voluntarily g…
B. One must wait for the right time to act or demand justice.
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analyze the information shown on the chart favorite ice cream flavors i…
To create the bar graph accurately: ### Step 1: Identify the data points - Chocolate: 18 students - Vanilla: 8 students - Strawberry: 11 students - Mint: 17 students - Cookie Doug…
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8.07 the list below describes one of the english colonies in america. •…
B. as a buffer from Spanish expansion
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the line plot shows the number of states visited by a group of campers.…
B. The distribution is not symmetric. ### Second Question (Measures for Center and Spread)
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ten words in context in the space provided, write the letter of the mea…
### Matching Words with Definitions 1. **acclaim** The definition "To draw forth" doesn’t match. Wait, no—wait, "acclaim" means great praise or applause (from the "Ten Words in Co…
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erik is part of a dance group. for one month he kept a chart of the num…
How many hours did Erik average each month participating in dance practices?
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marshall wants to write a survey question that he will give to 10 frien…
B. How many statistics teachers work at our school?
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completing the sentence - set a choose the word from the word bank that…
bonanza ### Question 2
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one monday, oscar sold 25 cups of lemonade. on tuesday, he sold 5 more …
C
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the population of deer and wild boars on an island in the pacific ocean…
The population of boars is growing exponentially.
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marshawn wrote a survey that he will give to 10 friends in his math cla…
D. How many questions did you answer correctly on the last math quiz?
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in context 1 exclaim (to alcm ) - any subway station that is clean, qui…
To solve these vocabulary - related questions, we analyze each one by understanding the word's meaning and matching it with the appropriate option or definition: ### Question 1 (e…
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grade 7 module 4 unit 4 lesson 6 entrance ticket: unit 4, lesson 6 name…
The word "stunted" in the sentence means (of a plant, animal, or person) prevented from growing or developing properly. In the context of "stunted trees", it means the trees have …
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how do economic unions address the unequal distribution of resources fo…
By allowing countries to access each other’s resources and focus on what they produce most efficiently
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your leader asks you to help unload and organize merchandise from a lar…
B. Focus on your assigned merchandise. The team members did not ask for help, and you do not want to make them uncomfortable.
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one card is drawn and then replaced. a second card is then drawn. what …
D. \(\frac{6}{169}\)
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economic factors • influencing the communication blank include: • stage…
To solve this fill - in - the - blank problem about economic factors influencing communication, we analyze each blank: ### First blank (Influencing the communication ____ include)…
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find the mean (expected value) of the probability distribution. | x | p…
84.4
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3. choose one: when rolling a 6 sided dice, the probability of landing …
c. Equally Likely
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19. how many ways can a president and a vice-president be chosen (order…
The number of ways to choose a president and a vice - president (order matters) is \(\boldsymbol{56}\) (assuming there are 8 people to choose from).
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18. given the probability model in the table below, what is the expecte…
14
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the following table shows the probability distribution for the number o…
1.9
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a bag has 2 red balls, 2 blue balls, and 1 green ball. you win $5 for r…
9
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ma.7.dp.2.1: i can determine all possible outcom simple experiment is f…
b. 0.05
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what is expected value of the spinner? spinner image with sections labe…
3.7
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the tipping point made by the police, they are important too. but there…
(for "EMERGENCE" - Contextual Meaning): The process of something new (a trend, behavior, or phenomenon) starting to appear or become noticeable. (Adjust based on which word you pr…
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the tipping point made by the police, they are important too. but there…
To solve this vocabulary - in - context task, we'll analyze each word using the text from "The Tipping Point". ### For the word "CLASSIC" #### Step 1: Surrounding words/phrases Fr…
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12. a disc jockey has to choose three songs for the last few minutes of…
\( 9P3=\frac{9!}{(9 - 3)!} \) (the third option)
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10. if a race has 10 competitors and you want to know the number of way…
A. The number of permutations of 10 taken 3 at a time.
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propaganda (part 4) - can be identified by looking for the following: -…
1. The first box: bias 2. The second box: literal 3. The third box (under literal): inferential 4. The fourth box: factual
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question 7 the excerpt into two parts for the word irrelevantly. st,\ s…
unrelatedly (the option corresponding to "unrelatedly" among the given choices)
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9. a spinner has equal regions labeled 0, 5, 10. what is the expected v…
5 (corresponding to the option "5")
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6. a committee of 3 students is to be chosen from 10 students. how many…
120
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question 6 ways the setting of the train impacts the plot of the story.…
"Irrelevantly" means in a manner that is not related or helpful to the current topic or situation (i.e., the girl’s comment about loving the West was said in a way that was unrela…
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5. tyler has 28 songs on his computer. he is transferring eight songs t…
\( 28C8 \)
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next gen personal finance career econ: scarcity, college, and income th…
- Attending school (classes) - Doing homework - Sleeping - Eating meals - Watching television - Doing laundry - Exercising - Hanging out with friends ### Question 2a
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1. ______ is the sum of the values of a random variable with each value…
A. Expected value
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the slightly raised his right hand, bound at the wrist by the shining b…
interrupted (the option with "interrupted" text)
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oh, the outrage over apps such as tiktok and instagram for it is on the…
B. It shows the reader that the Gen Xers consider themselves defenders against the takeover of technology.
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oh, the outrage over apps such as tiktok and instagram for it is on the…
A. The author uses irony to show that many people who are angry about technology use it when they want.
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questions 1–3 are based on the following passage. \on the twelfth of ma…
A. Spanish and French colonizers cooperated to overpower local tribes
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why is it important to learn about bad graphs? choose the correct answe…
D. So that we can critically analyze a graph to determine whether it is misleading
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fill in the blank. when drawings of objects are used to depict data, fa…
pictographs.
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questions 1–3 are based on the following passage. on the twelfth of may…
C. The establishment of control over the Mississippi Valley by the French
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fill in the blank. in a graph, if one or both axes begin at some value …
a nonzoro axis (Note: Likely a typo, intended to be "a non - zero axis")
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the graph to the right uses cylinders to represent barrels of oil consu…
The cylinder graph distorts the data. It uses 3 - D cylinders, so the visual comparison (based on area/volume) misrepresents the ratio of the two countries' oil consumption (only …
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impact of communication on society • includes: • bridges a gap between …
- bridges a gap between $\boldsymbol{\text{cultures}}$ and communities - creates and shares meaning through $\boldsymbol{\text{words}}$, customs or dress - is the $\boldsymbol{\te…
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questions 1–3 are based on the following passage. on the twelfth of may…
C. French settlers and Native Americans became rivals over natural resources
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questions 1–3 are based on the following passage. on the whole, of all …
D. Mutual dependence between French settlers and Native Americans
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the graph to the right compares teaching salaries of women and men at p…
First, the original graph does not depict the data fairly. It creates a misleading impression that the salary difference between men and women is larger than it actually is (becau…
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the graph to the right compares teaching salaries of women and men at p…
1. Impression: D. The graph creates the impression that men have salaries that are slightly higher than that of women 2. Fair Depiction: B. No, because the vertical scale does not…
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4. indicate whether the decimal form of each number terminates or repea…
### Question 4 | Number | Terminates | Repeats | |--------|------------|---------| | \(-\frac{5}{7}\) | | ✔️ | | \(\frac{11}{2}\) | ✔️ | | | \(-\frac{3}{5}\) | ✔️ | | | \(\frac{10…
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the graph to the right compares teaching salaries of women and men at p…
B. The graph creates the impression that men have salaries that are more than twice the salaries of women
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which of the following is not true about statistical graphs? choose the…
A. They utilize areas or volumes for data that are one - dimensional in nature.
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fill in the blank. we utilize statistical ____ to look for features tha…
graphs
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if we have a large voluntary response sample consisting of weights of s…
A. No, a graph cannot help to overcome the deficiency. If the sample is a bad sample, there are no graphs or other techniques that can be used to salvage the data sampling techniq…
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determine which table represents the information found in the bar graph…
A. | Color | People | |-------|--------| | blue | 1,000 | | green | 6,000 | | orange| 5,000 | | yellow| 10,000 | | red | 9,000 |
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how are the numbers of unprovoked shark attacks worldwide for the last …
D. A time - series graph would be most effective, since the data are listed in order over a period of several years.
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listed below are the numbers of unprovoked shark attacks worldwide for …
D. The spread of the data is very small, so it would be nearly impossible to see any differences when represented graphically
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question 11 of 40 at howard high school, 53% of all students participat…
D. 51% To find the conditional probability \( P(\text{music} | \text{sports}) \), we use the formula for conditional probability: \( P(A | B) = \frac{P(A \cap B)}{P(B)} \). Let \(…
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4. what are three possible meanings of the word possession? what is its…
To answer these questions, we would need the text of paragraph 6 (and potentially the surrounding text for context). Since the paragraph itself is not provided, here's how you cou…
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use quadratic regression to find the equation for the parabola going th…
\( y = 2x^2 + 4x + 3 \)
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the data in the table represents the predicted price of a gallon of mil…
\( y = ab^x \)
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which elements do you think need to go in a fire prevention plan? means…
- Means of reporting fires and other emergencies (should be included) - Evacuation procedures and emergency escape route assignments (should be included) - Procedures for employee…
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which group of words best helps the reader understand the meaning of th…
C. exaggerate so much
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the poet’s choice of soothing words was meant to evoke a sense of peace…
call forth
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stating evidence that supports a conclusion which evidence supports the…
B. Some of the tales discuss wars and other conflicts of the time, C. Many of the stories tell about the horrifying and brutal treatment of children, E. The tales often reveal the…
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which phrase best helps the reader understand the meaning of the word d…
C. had been honest
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read the paragraph, then choose the word that best completes the senten…
C. primitive
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your own research: use the internet to find five statistics about this …
To complete this task, we'll assume the job is "high school English teacher" (as per the example) and find five relevant statistics: ### Statistic 1: **STATISTIC (fact):** The ave…
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question 3 the article says: so why do we have those little bits of bon…
B. puzzle
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which statement best explains the difference between hard and soft skil…
a. Hard skills = what you know, Soft skills = how you interact
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5.6.3 test (cst): applications of probability a football coach is tryin…
Probability of winning with regular defense: \( \frac{38}{50} = 0.76 \) Probability of winning with prevent defense: \( \frac{29}{50} = 0.58 \) Conclusion: The probability of winn…
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question 3 the article says: the answer could tell us why modern humans…
B. old
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this venn diagram shows sports played by 10 students. let event a = the…
To find \( P(A \text{ or } B) \), we use the principle of inclusion - exclusion for probability: \( P(A \cup B)=P(A)+P(B)-P(A \cap B) \) 1. First, determine the number of students…
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1-2 travel expenses exam a certain rail company uses a method called de…
If the question is about fare at or below $55$, the number of passengers is $43$. (If the actual price in the full question is different, use the corresponding cumulative frequenc…
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a certain rail company uses a method called demand pricing for setting …
59
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question 3 of 25 alexa and bart are arguing about who will do the dishe…
A. Put each person's name on a separate piece of paper in a bag. Randomly draw a name. The person whose name is chosen does the dishes. C. Roll a number cube. If the number rolled…
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question 10 of 10 at a competition with 8 runners, 2 medals are awarded…
D. 56 To determine the number of ways to award 2 different medals (first and second place) to 8 runners, we use permutations (since the order matters: first place is different fro…
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question 8 of 10 there are 9 students in a class. the teacher chooses 2…
D. 36 To determine the number of ways to choose 2 students out of 9 when order does not matter, we use the combination formula \( C(n, k)=\frac{n!}{k!(n - k)!} \), where \( n = 9 …