統計與機率
資料分析、機率分佈、假設檢定與統計方法。
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practice solving problems involving absolute deviation. the mean for th…
2
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choosing the set with the greatest mad which box plot represents a set …
The middle box plot (the second one, with the long left whisker)
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x is a normally distributed random variable with mean 68 and standard d…
0.975
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the mean absolute deviations for two sets of data are shown. | set | ma…
The data points in Set 1 are more \(\boldsymbol{\text{spread out from}}\) the mean than the points in Set 2 because the mean absolute deviation is \(\boldsymbol{\text{larger}}\).
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data set: 47, 45, 44, 41, 48 1 find the mean. mean = \\(\\frac{47 + 45 …
2
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use the dot plot to answer the question. what is the absolute deviation…
4 (corresponding to the option with value 4)
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calculating mean complete the statements about calculating mean using t…
The sum is \(48\). The mean is found by dividing this sum by \(8\). The mean is \(6\).
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which box plot correctly represents the data? (four box - plot options …
The first box plot (the top - most option with box from 2 to 6, median at 3, whiskers from ~0 to 9)
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which statement is true about the box plots? number of incorrect questi…
The ranges for the box plots are the same, but their interquartile ranges are different.
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which statement is true about the ranges for the box plots? number of s…
The range of the Morning box plot is the same as the range of the Afternoon box plot.
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the box plot represents the number of minutes customers spend on hold w…
6
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the interquartile range of the data set is 4. 2, 2, 3, 3, 4, 5, 5, 6, 7…
D. Twelve is not an outlier because it is less than the sum of 7 and 6.
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a variety of two types of snack packs are delivered to a store. the box…
The number of calories in the packs of trail mix have a greater variation than the number of calories in the packs of crackers.
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the box plot represents the number of minutes it takes for the students…
5 (corresponding to the option "5")
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the box plot compares the number of events that mrs. cai’s and mr. rola…
D. Mr. Roland's class was more successful because his class's lower quartile was the same as Mrs. Cai's class's upper quartile.
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the box plots compare the number of students in mr. ishimotos classes a…
- Both box plots show the same interquartile range. - Mr. Ishimoto had the class with the greatest number of students. (Note: There seems to be a discrepancy as we need three opti…
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look at the table on texts assigned to students. texts assigned to stud…
\(0.1\) (corresponding to the option "0.1")
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the conditional relative frequency table was calculated by row using da…
Given that the program was targeted at adults, there is a 37.5% chance that it was recorded.
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table b: garden - type frequencies by row table b: garden - type freque…
C. Table B, because the given condition is that the person has a flower garden.
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the frequency table represents the job status of a number of high schoo…
The correct conditional relative frequency table by column is: | Job Status | Looking for Job | Not Looking for Job | Total | |---------------------|-----------------|------------…
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paint color preference \t\t\tchildren\tadults\ttotal liked new paint co…
0.85
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the conditional relative frequency table below was generated by column …
The value of G is not similar to the value of H.
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the conditional relative frequency table was generated using data that …
0.14 (corresponding to the option with 0.14)
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a b total c x 0.26 0.5 d y 0.60 h e z 0.07 j total 1.0 1.0 1.0 which va…
0.06
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reasoning about an association between varia in a survey, 15 high schoo…
Micah's conclusion is incorrect. The probability of a high school student being able to drive is \(\frac{15}{30} = 0.5\), and for a college student, it is \(\frac{30}{60} = 0.5\).…
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comparing relative frequency tables using the data below, eve created a…
The true statements are: - Eve’s table shows that those who enjoy dancing are likely girls. - Bob’s table shows that boys are likely to not enjoy dancing. - The percentage of some…
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determining association the table below shows the conditional relative …
C. An association cannot be determined because 0.47 is close to 0.53. (assuming the options are labeled A, B, C, D with C being "An association cannot be determined because 0.47 i…
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the table below shows the conditional relative frequencies of a set of …
There is an association between gender and scholarship earned because each column total is the average of the values in the column.
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one hundred thirty people were asked to determine how many cups of frui…
First conditional relative frequency (ate more than 2 cups of fruit, given drank ≤4 cups of water): Approximately 24% (calculation: $\frac{20}{82} \approx 24\%$) Second conditiona…
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students in 10th and 11th grade were asked whether they have a job. the…
Given that a student is a 10th grader, there is a 14% chance he or she has a job.
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the conditional relative frequency table was generated using data that …
36
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creating a conditional relative frequency table a census was conducted …
\(a = 0.93\), \(b = 1.08\) Wait, no, wait, the first table's row totals are 32 and 23, and 32 + 23=55. The conditional relative frequency for the row "<20 sq. mi." should be \(32/…
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creating a conditional relative frequency table the frequency table rep…
\(a = 0.6\) (but not in options), \(b = 0.4\) (but not in options), \(c = 0.2\), \(d = 0.8\) (but not in options). However, based on the options provided (0.08, 0.18, 0.2), \(c = …
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weekend curfews determine the values of the letters to complete the con…
\( a = 0.1\), \( b = 0.85\)
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a group of 8th and 9th graders were surveyed about whether they use soc…
- The probability a student uses social media, given that he or she is in 9th grade, is 81%. - An 8th grader is more likely to use social media than not.
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a town was considering a new tax to fund a recycling program. residents…
A resident in the group who supports the tax is likely to be male. (The corresponding option: A resident in the group who supports the tax is likely to be male.)
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a random group of high school and college students were asked if they s…
- The conditional relative frequency that someone is in high school, given that the person prefers to study without music, is about 0.56. - If someone prefers to study with music,…
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a group of random people were polled about whether they prefer to commu…
54% (corresponding to the option "54%")
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high school students were surveyed about which math and science topics …
| | Algebra | Geometry | Total | |----------|---------|----------|--------| | Biology | 73% | 27% | 100% | | Chemistry| 70% | 30% | 100% | | Total | 72% | 28% | 100% |
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the manager of a juice bar polled 56 random customers to get feedback o…
9 ### Second Statement: Total number of children
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the table shows the profit from a school book fair based on the number …
\$1.50 per book
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a group of students and workers entering a metro station were asked whe…
166
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julissa is running a 10 - kilometer race at a constant pace. after runn…
\( k - 2=\frac{1}{9}(t - 18) \) (the first option)
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the members of a high school band asked a number of students whether th…
D. \( a = 33\%, b = 43\% \)
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mr. capuano, an art teacher, surveyed his students to find out whether …
6%
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4 which scatter plot does not show an appropriate line of best fit? a b…
C (the scatter plot labeled C)
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the table represents an exponential function. | x | y | | --- | --- | |…
\(\boldsymbol{\frac{1}{5}}\) (corresponding to the first option: \(\frac{1}{5}\))
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the graph represents the cost of a subscription to a newspaper. weekly …
\$7.50
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your leader asks you to help unload and organize merchandise from a lar…
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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student absences present\tabsent\ttotal 7th grade\t44\t4\t48 8th grade\…
First blank: 92% (from the options: 92%), Second blank: 9.3% (from the options: 9.3%) Wait, the problem says "The relative frequency of 7th graders who are present is [options: 9.…
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finding relative frequency student absences use the table to complete t…
s: - The relative frequency of 7th graders who are present is $\boldsymbol{\frac{11}{12} \approx 0.9167}$ (or $91.67\%$). - The relative frequency of all students who are absent i…
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summer plans | | camp | no camp | total | |---------------|------|-----…
44%
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a relative frequency table is made from data in a frequency table. freq…
11%
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a group of 55 football players was polled about which synthetic grass t…
B. x = 13, y = 15, and z = 17
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as people exited a movie theater, they were informally surveyed about w…
B. \(a = 41\%, b = 3\%\)
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a group of 120 seventh- and eighth-grade students were asked whether th…
Twenty - four seventh - grade students chose a non - sports activity.
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| | sunrise | no sunrise | total | | sunset | 14 | 12 | 26 | | no sunse…
$\frac{12}{38}$ (corresponding to the option with $\frac{12}{38}$)
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a relative frequency table is made from data in a frequency table. freq…
27%
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comparing data in venn diagrams and tables school a venn diagram with t…
More students do neither activity at B than at A.
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students in 7th and 8th grade were asked the types of movies they prefe…
The marginal relative frequency for action movies is 44%. The joint relative frequency for 8th graders who like comedy movies is 16%.
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determining relative frequencies as percentages residents of three coun…
s: Republican residents of County 1: \( 37.9\% \) Democratic residents of County 1: \( 62.1\% \) Total Republican residents: \( 58.9\% \) (corrected from 58.0) Total Democratic re…
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determining relative frequencies as percentages residents of three coun…
Republican residents of County 1: $\boldsymbol{37.9\%}$ Democratic residents of County 1: $\boldsymbol{62.1\%}$ Total Republican residents: $\boldsymbol{58.9\%}$ Total Democratic …
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determining relative frequency ratios the following two - way table rep…
s: 1. $\frac{14}{50}=\frac{7}{25}=0.28$ 2. $\frac{15}{50}=\frac{3}{10}=0.3$ 3. $\frac{36}{50}$ (assuming there's a mis - wording in the question, but among the options, this is th…
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determining relative frequency ratios the following two - way table rep…
\(\frac{14}{50}\) (or \(\frac{7}{25}\) or \(0.28\)) ### Sub - Question 2: Relative Frequency for Students Who Have Been to Hawaii but Not Alaska
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identifying joint frequencies a survey was conducted with high school s…
Fourteen 11th graders prefer math and eight 10th graders prefer science.
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a survey was conducted with high school students in each grade to see h…
191 students play sports and ninety - seven 10th graders were surveyed.
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completing a two-way table a summer camp has 32 campers. a total of 22 …
\( a = 15, b = 7, c = 5, d = 10, e = 12 \) (corresponding to the option \( a = 15, b = 7, c = 5, d = 10, e = 12 \))
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determining values in a two-way frequency table using a venn diagram a …
\(a = 7\) \(b = 31\) \(c = 28\) \(d = 13\) \(e = 65\)
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a group of 100 students were asked if they study french or spanish in s…
- 5 students study both French and Spanish. - 2 students study neither French nor Spanish. - 30 students study French, but not Spanish.
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interpreting a relative frequency table a random sample of 184 students…
- 42% of the students prefer a concert over a movie. - A greater ratio of 11th graders prefer a concert to a movie. - The difference in the percent of students who prefer a movie …
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a cell phone company surveyed 200 random customers on whether they were…
| | Plan A | Plan B | Total | |----------------|--------|--------|--------| | Satisfied | 52% | 32% | 84% | | Not satisfied | 4% | 12% | 16% | | Total | 56% | 44% | 100% |
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an electronics company polled 300 random people to find out whether the…
The cell labeled \( a \) is a joint frequency of 71. The cell labeled \( b \) is a marginal frequency of 93.
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in the 9th and 10th grades at jefferson high school, there are 236 stud…
The two - way frequency table is as follows: | | Right - handed | Left - handed | Total | |---------------|----------------|---------------|-------| | 9th Grade | 111 | 10 | 121 |…
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try it venn diagram a group of 50 people were asked their gender and if…
\( a = 13 \) \( b = 28 \) \( c = 6 \) \( d = 22 \) \( e = 31 \)
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read the excerpt from the role of social media in the arab uprisings by…
The first passage provides more effective evidence because it has data and statistics from research reports, while the second passage uses titles of articles and authors’ names as…
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what does the italicized word mean in the following sentence? el enferm…
the nurse
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advocates of data literacy have long argued that u.s. schools lag behin…
D. that data science is beginning to emerge as a coherent strand of K-12 schooling whose future growth can be deliberately steered by aligning state policy, graduation requirement…
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identifying types of evidence place each phrase under the type of evide…
To solve this, we analyze each phrase and match it to the appropriate evidence type: ### 1. **Example** (specific instances to illustrate a point): - *historical instance*: A past…
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1. natural sonlar va ular ustida an 106 1 dan 2024 gacha bolgan natural…
# Explanation: ## Step1: Analyze digit distribution Natural numbers from 1 to 9: 9 digits (1 - 9, 1 digit each). From 10 to 99: 90 numbers, \(90\times2 = 180\) digits. From 100 to…
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using slope as a rate the graph represents the total number of books am…
2
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diminishing marginal utility means that ______. ○ the price of a produc…
the value of a product decreases with each unit purchased ### Second Question (Insurance Policy and Consumption)
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Question was provided via image upload.
a. It was colder at 2 p.m. than at 4 p.m. b. \(-5 < -3\) d. \(-3 > -5\) ### Question 6
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question 1 1 pts define theoretical probability in one sentence
Theoretical probability is the ratio of the number of favorable outcomes to the total number of possible outcomes in a sample space where all outcomes are equally likely.
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a sports radio station asked local listeners for their favorite basebal…
50
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11, 19, 16, 25, 22, 15, 13, 10, 17, 24, 21, 4, 3 minimum: _____________…
Minimum: \( 3 \) Maximum: \( 25 \) \( Q_1 \): \( 10.5 \) \( Q_2 \): \( 16 \) \( Q_3 \): \( 21.5 \) The five - number summary is: Minimum = \( 3 \), \( Q_1 = 10.5 \), \( Q_2 = 16 \…
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ginny is studying a population of frogs. she determines that the popula…
\( f(x) = 1,200(0.97)^x \)
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hal is asked to write an exponential function to represent the value of…
0.98
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the value of a collectors item is expected to increase exponentially ea…
\$607.75
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after years of maintaining a steady population of 32,000, the populatio…
A. $y = 32,000(1.08)^x$
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what type of distribution is shown in the following illustration? optio…
c. directional distribution
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the graph shows the amount of money miguel earns after working x hours.…
13 dollars per hour (the option: 13 dollars per hour)
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tracie rides the bus home from school each day. the graph represents he…
Tracie's bus travels towards her home at an average speed of \(\frac{1}{2}\) mile per minute.
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a catering company uses different functions to estimate the itemized co…
\( t = 1.8g \) (the first option)
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what will keeping a running list of new words help you do? a. understan…
B. Remember what words mean when you see them again
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what is the constant of variation, k, of the direct variation, $y = kx$…
\( k = \frac{8}{5} \) (corresponding to the option \( k=\frac{8}{5} \))
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the graph represents the direct variation function between earnings in …
\( E = 7.5h \) (the option with \( E = 7.5h \))
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why is the decoding process in english sometimes a bit tricky? a. there…
D. Each letter represents several different sounds.
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question 9 of 10 which of these can help you comprehend what youre read…
C. Produce a picture in your mind of what the words are saying.
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your leader asks you to help unload and organize merchandise from a lar…
C. Ask your leader if you can help the team members after you finish your task.
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for and against each idea. the notes in favor of new supplies emphasize…
C. Both sets of notes suggest ways to benefit others. One focuses on helping the club with future projects, while the other focuses on helping children at the hospital by donating…