STATS
Liliana wants to start a seventh-grade computer club at Hamden Middle School. She surveyed 20 seventh-grade students at the town park. She asked each student how many hours they spend on their computers each week. She obtained the following results. 8, 15, 0, 11, 12, 13, 16, 13, 0, 4, 17, 14, 30, 13, 5, 12, 1, 13, 12, 21 What is the ratio of the total number of students who used their computers to the total number of students surveyed?
18/20 or 9/10
What is the interquartile range of this set of data? 15, 19, 20, 25, 31, 38, 41
19
Johanna graphed the number of calls she made during one day. How many calls were made before 6 p.m.?
20
Ardem collected data from a class survey. He then randomly selected samples of five responses to generate four samples. Using his four samples, between what two numbers will Ardem's actual population mean lie?
3.6 and 4.4
What is the range for this set of data? 38, 17, 55, 40
38
Myra polled twenty-five students in her class to determine the number of movies the students attended at the theater this year. The results are in the table. She decided to find the mean of a sample using Row 1 and Row 5.
4
Draw a histogram for the intervals 16-18, 19-21, 22-24, and 25-27 using the following data: 26, 16, 22, 27, 20, 24, 21, 27, 22, 21, 26, 27, 23, 20, 16, 17, 27, 19, 17, 17
A.
"Just look at the graph," the player's agent said. "Phil's hits have doubled since last year. We are looking for a large raise and a long contract."
Both a and b.
The makers of Brand Z paper towel claim that their brand is twice as strong as Brand X and they use this graph to support their claim
No, because the vertical scale exaggerates the differences between brands.
What is the best description of the data in the histogram?
The data set is symmetrical.
The city of Hamden received money for improvements of the town's park. The park committee polled a random sample of 75 residents from the town. Of the 75 residents, 27 would like to see more trees planted in the park. From this information, what can be inferred?
About a third of the residents prefer a park improvement of more trees.
Lucilla wondered what the average weight of each orange was in a five-pound bag of oranges. She purchased six bags and calculated the average weight for a single orange in each bag.
6.9 oz and 8.1 oz.
Two samples were taken of fish caught on Small Lake and are shown in the table below. It is estimated that the Small Lake fish population is roughly 1,000 fish. What is the average number of brown trout in the lake?
80
Which dot plot shows a sample that is most representative of the number of pets in a household?
A
Which Venn diagram represents N^N?
A.
What is the difference between the mean and the median of the data set? {22, 8, 10 ,18 ,12, 20}
0
Nadya put the data she collected during her survey in a table. Then she found the mean of each of the four rows of data. Find the mean from each row of data. Between what values will the mean of the actual population be found?
3 and 4
To pass science, a student must earn at least a grade of 70. How many students failed this science class?
7
Swati played eight basketball games this season. Her point totals for each game were 8, 14, 4, 7, 6, 14, 4, and 7. What was the mean number of points she scored per game?
8
What is the range for this set of data? 7, 15, 12
8
A set P consists of all natural numbers between 1 and 100, inclusive. Use set-builder notation to define P.
A
Phoebe surveyed teens and adults to find the average number of hours of sleep they get during the week. Her results are shown below. Which statement regarding her survey results is true?
Adults have less variability in the hours of sleep
Which statement describes the shaded region in the Venn diagram?
B. K^L^M
Use set-builder notation to define the complement of the given set. U=R.
B. Lc={x|x<10}
Eldrick manages wildlife samples for Ducks Unlimited. Two samples of duck populations at a migratory site are shown in the table below. Which statement about the samples is true?
Eldrick should take another sample because there is too much variability in the two samples.
Given the set definitions below, find MxN.
NOT B
Car A and Car B were in a race. The driver of Car B claimed that his car was twice as fast as Car A.
No, because the vertical scale exaggerates the differences in speed.
Alexandra kept track of her salary for 15 weeks and created the histogram below. What does the gap from 21-30 tell Alexandra about her weekly salary?
None of her paychecks were between 21 and 30 dollars.
Ariel wants to find out the most popular theme for spirit week at school. She cannot decide between two methods. Option 1: She will poll each student who leaves the gym after sports practice. Option 2: She will randomly poll three students from each first-period class. Which statement about the methods is true?
Option 1 is biased
Swati recorded this data set, which contains an outlier. 163, 97, 184, 199, 169, 175 What numbers represent the lower and upper quartiles?
lower quartile: 163 upper quartile: 184
What is the upper and lower quartile of this set of data? 15, 19, 20, 25, 31, 38, 41
lower quartile: 19 upper quartile: 38
Jada is studying the variability of her quiz scores. Which pair of statistics best describes the spread of scores?
range and interquartile range
Which Venn diagram has shading that represents the given set? Sc^T
A
Set B is defined as B={x|x is an integer}. Name two elements of B.
D. -527 E B and 1 E B
Which value is the best estimate of the mean of the population?
24.2
Given the data, as shown in the image below, determine if the distribution is uniformly distributed, symmetrically distributed, skewed right, or skewed left. <=>
symmetric
Kate recorded the number of minutes she read each day for the last two weeks in the table.How can Kate figure out which week had the larger range in minutes read?
1. Order the minutes for each week. 2. Find the range for each week. 3. Compare the ranges. Week 1 had the larger range in minutes.
What are the steps to find the lower and upper quartiles of a data set?
1. Order the values. 2. Find the median. 3. Find the lower quartile. 4. Find the upper quartile.
Harlon recorded this set of data, which contains an outlier. 163, 97, 184, 199, 169, 175 What is the range of this set of data?
102
Eight car dealerships reported the number of cars they sold last month. What is the interquartile range of this set of data?
12.5
Set H is defined as 2004-06-03-01-00_files/i0160000.jpg. Which of the following is a subset of H?
A. {2,13,23}
When Henry surveyed 45 seventh-grade students at random in the school cafeteria, he found that 3 out of 15 liked reggae music. Using proportional reasoning, about how many of the 180 seventh-grade students in his school like reggae?
About 36 seventh-grade students like reggae music.
Three printing companies were rated on their performance using a percentage scale. This graph shows how they were rated.
All three companies were rated to be equal.
Braden wants to compare the types of ducks in two nearby ponds. He collected two samples using the following criteria. For sample 1, he counted the types of ducks on Walden Pond from 6 A.M. to 9 A.M. For sample 2, he counted the number of Mallard ducks that were on Brook's Pond from 12 P.M. to 3 P.M. What would improve Braden's plan? Check all that apply.
Braden should sample the ducks on each pond at the same time of day because animals are active at different times. Braden should sample twice at each pond if he wants to make sure each sample is representative of the population. Braden should count more than Mallard ducks on Brook's Pond if he wants to compare the types of ducks on each pond.
Madison claims that two data sets with the same median will have the same variability. Which data set would provide good support for whether her claim is true or false?
C
Draw a histogram for the intervals 4-6, 7-9, 10-12, and 13-15 using the following data: 8, 9, 5, 14, 5, 14, 15, 7, 13, 6, 4, 10, 6, 6, 7, 5, 5, 12, 9, 8
C.
Jorani flips two standard American quarters. How many ways can she get at least one head? Hint: Let 2004-06-03-01-00_files/i0250000.jpg and let 2004-06-03-01-00_files/i0250001.jpg
C. 3
A polygon is a type of plane figure. A square is a type of parallelogram, which is a special quadrilateral. A quadrilateral is a four-sided polygon. A trapezoid is a type of quadrilateral. Using the set definitions below, which of the following statements about the sets given is true?
C. S(M(Q(P(F
Draw a histogram for the intervals 17-19, 20-22, 23-25, and 26-28 using the following data: 19, 19, 27, 20, 27, 26, 25, 26, 18, 27, 20, 24, 19, 21, 27, 23, 21, 17, 22, 22
D.
A sales representative for a new soft drink is trying to convince a chain of food stores to order a much larger quantity. The salesperson uses the graph below in the sales pitch. How would you change the graph so that it is not misleading?
Diameters should be the same, so only the heights are compared.
Josiah kept track of how many songs of each genre were played in an hour from his MP3 player. The counts are displayed in the table below. He has a total of 1,500 songs on his player. Josiah predicted the number of rock songs on his MP3 player to be 300 songs. Which statements about his solution are true? Check all that apply.
He should have found the average of the number of rock songs by averaging 4 and 6 to get 5. He did not multiply the numerator and denominator by the correct number to equal 1,500. He should have multiplied the numerator and denominator by 75, not 30, because mr026-2.jpg.
Dylan wanted to find the average number of hours per day that the students in his class practiced their instruments. He chose three students by drawing their names from a hat. What should he do to ensure that he has an accurate average for the class?
He should poll more students to eliminate the variability caused by a sample size that is too small
Leo wants to determine the average number of texts middle school students send in a day. Since all middle school students are enrolled in history, he randomly surveyed 4 students from each of Mr. Barnes's eighth-grade history classes. Ms. Lopez and Mrs. Frank also teach eighth-grade history. What should Leo do to ensure his sample is representative of all middle school students?
He should survey each of the other history classes. Only one grade is being surveyed by this method.
Which statements about the histogram are true? Check all that apply.
NOT The histogram shows there were 22 students in the class. The histogram is symmetrical. The histogram has a peak.
The histogram shows how many jogging runs Maria made for each interval of miles. Which statement about the histogram is true?
NOT More than half Maria's runs were less than five miles each.
A set E consists of all even numbers. Use set-builder notation to define E.
NOT A NOT D
M={x|x E R} Define the complement of the given set. U=R.
NOT B
Ethan and three friends kept track of their average points scored in each basketball game over the season. The results are shown below. Which player is the most consistent?
NOT Ben, because his mean score is the highest NOT Ethan, because his interquartile range is the highest
Raj polled 100 students in his class to compare the number of hours that teen boys and girls played video games each week. The results of his survey are shown below. Which gender shows greater variability in their playing time?
NOT Boys show greater variability because the median playing time for boys is 14.5 but only 6 for girls.
A set X consists of all real numbers greater than or equal to 1. Use set-builder notation to define X.
NOT C
Minkah is ordering a cake for his grandmother's 70th birthday. The bakery offers a choice of chocolate or vanilla cake and a choice of raspberry, buttercream, or lemon filling. If C={chocolate, vanilla} represents the set of cake choices and F={raspberry, buttercream, lemon} represents the set of filling choices, which set represents the set of all combinations of cake and filling?
NOT C
Peter wants to estimate the mean value on a fair number cube. He has generated four samples containing five rolls of the number cube as shown in the table below. Which sample will result in the greatest mean?
Sample 2
Mr. Sanchez surveyed classes to aid in planning the end-of-year party. For the first sample, Mr. Sanchez surveyed every third person on each first-period class roster. For the second sample, Mr. Sanchez surveyed his five honors math classes. Which statement about Mr. Sanchez's samples is true?
Sample 2 is biased.
Rosa's work finding the median of a set of test scores is shown below. Which statement best describes Rosa's first error?
She should have reordered the elements from least to greatest.
What gives the impression that one group has twice as many endangered species as mammals?
The break in the vertical axis.
Ty and Gajge are both football players who averaged 4 yards per run in yesterday's football game. The statistics from that game are shown in the table below.Which statement best describes the data?
The lengths of Gajge's runs have greater variability because there is a greater difference between his longest and shortest runs.
The number of pages read by two students each day for 5 days are listed in the table.Which statements are true regarding the two data sets? Check all that apply.
The means for both data sets are equal. The range of the number of pages Lionel read is greater than the range of the number of pages Aaron read. The range of the number of pages that Lionel read is 75.
Use the data set to determine which statements are correct. Check all that apply. 115, 120, 118, 104, 109, 148, 135, 141, 139
The median is 120 The lower quartile is 112 The upper quartile is 140 The interquartile range is 28
Use the data set to determine which statements are correct. Check all that apply. 35, 41, 18, 75, 36, 21, 62, 29, 154, 70
The median is 38.5. There is an outlier. The lower quartile is 29. The upper quartile is 70. The interquartile range is 41.
Sofia is a helper for the kindergarten class and is in charge of picking a video for their end-of-year party. To choose which type of movie they would like best, she decided to survey every other child entering a matinee for a cartoon called, "Three Pretty Princesses." The total number of children surveyed was 40. What is wrong with the way she selected her sample? Check all that apply.
The sample was taken at a specific movie, which will skew data towards that type of movie. The sample is likely to include a lot more girls than boys, since the movie title is "Three Pretty Princesses."
A news channel on cable T.V. polled politicians on an issue to find out who agreed with a court decision. This is the graphic they used in their report
The vertical scale is too narrow. It needs to be a wider range, such as 0 to 100.
The box plot and histogram show the number of minutes sixth-grade students spent reading the previous night. Which statements best describe the box plot or histogram? Check all that apply.
Using the information in the histogram, the total number of students surveyed is 4 + 4 + 6 + 4 + 2 = 20. Referring to the box plot, the median of the data is 50. The range of the data can be found using the box plot.
Which describes how to calculate the range of this data set? 4, 5, 6, 8, 11, 12
subtract 12-4
The table shows the mean number of basketball goals made by four random samples of players from the school team during this year's season. Is a valid prediction for the mean of the population possible using these samples?
Yes, the variation of the sample means is small.
What is the best definition for "sample" as used in statistics?
a part of the population that represents the entire population
The manager of a popular restaurant wants to know what types of vegetarian dishes people prefer to eat. Which sample would provide the most accurate data?
a random group of 40 people on the street
Hamden city's police department needs to choose whether to build a new addition to the police station or to buy new squad cars. Which sampling option might they choose to survey the community?
a random sample of 10% of all taxpayers
The AAA Cable Company uses this graph to compare their costs to the costs of a competitor. The competitor charges a $20 installation fee and $1.10 per day. AAA Cable has no installation fee and charges $1.30 per day.
b. Change the horizontal scale to increments of 10 days instead of increments of 1 day.
Which type of graph most readily shows the interquartile range for a data set?
box plots
The manager of a convenience store wishes to determine how many cartons of eggs are damaged in shipment and delivery. For ten shipments of 1000 cartons of eggs, she examines every 50th carton to see how many cartons contain cracked eggs. Identify the population and the sample.
population: 10 shipments of 1000 cartons of eggs sample: every 50th carton in each shipment
Is the data set "names of the players on the golf team" quantitative or qualitative? If it is quantitative, is it discrete or continuous?
qualitative
Is the data set "the hair color of the presidents of the United States" quantitative or qualitative? If it is quantitative, is it discrete or continuous?
qualitative
Is the data set "distance a baseball travels after being hit" quantitative or qualitative? If it is quantitative, is it discrete or continuous?
quantitative, continuous
Is the data set "heights of the women in the U.S. Congress" quantitative or qualitative? If it is quantitative, is it discrete or continuous?
quantitative, continuous
Is the data set calories burned while running a marathon quantitative or qualitative? If it is quantitative, is it discrete or continuous?
quantitative, continuous
Is the data set "the number of leaves on a branch" quantitative or qualitative? If it is quantitative, is it discrete or continuous?
quantitative, discrete
Given the data, as shown in the image below, determine if the distribution is uniformly distributed, symmetrically distributed, skewed right, or skewed left. =>
skewed left
Given the data, as shown in the image below, determine if the distribution is uniformly distributed, symmetrically distributed, skewed right, or skewed left. <=
skewed right
Park County, Wyoming, has a population of approximately 28,205 people. There are two main cities in Park County: Cody, with a population of about 9,194 people, and Powell, with a population of about 5,476 people. How many residents of Park County live outside these two cities?
13,535
A survey of sixth-grader students recorded how many hours students studied each week. The histogram below displays the collected information.Which interval shows the greatest number of students?
0 - 1.99
Julia surveyed her friends to find the number of hours they spend on homework during the week. The data from her survey is displayed in the first table. She then took a random sample of five responses from the population as shown in the second table. Compare the mean of the population with the mean of the given sample.
0.3
Maria kept a log of the number of miles she jogged each time she went for a run as she trained for an upcoming marathon. She displayed the logged runs in the histogram below.What is the range of the number of miles Maria jogged?
1 to 7.99
Consider the means of the samples shown in the table. Which value is least likely to be the mean of the population from which the samples were taken?
12.2
Looking at the means of these samples, which value is most likely to be the mean of the population from which the samples were taken?
12.9
A restaurant serves three types of omelettes. Surveys were taken of the last two days of orders and are displayed in the table below. Approximately 200 omelettes are served each day. What is the average number of ham and cheese omelettes served each day?
120
Melanie asked 15 random seventh-grade students how many soccer games they attended this school year. The number of games attended by each student is listed below. 2, 3, 6, 4, 7, 0, 4, 5, 0, 1, 2, 3, 2, 1, 4 What is the ratio of the total number of surveyed students who attended soccer games to the total number of students surveyed?
13/15
Looking at the table of sample means, which value is the best estimate of the mean of the population?
14
Which value can be added to the set below without changing its mean? {4, 10, 14, 18, 22, 22}
15
Ms. Sanchez's students were asked how many hours they spend participating in organized sports each week. Each row of the table represents one sample from the class.
2.2
Raj recorded the scores of six of his classmates in the table. What is the range of their test scores?
30
Principal Phillipi used a random sample of 20 student records to determine how far, in miles, students live from the school. The results are shown below. 3, 4, 5, 3, 4, 5, 6, 5, 4, 3, 2, 3, 4, 5, 6, 4, 8, 4, 3, 2 What is the mean distance that his students live from the school, rounded to the nearest tenth?
4.2 miles
Janelle made ordered lists of the heights, in inches, of the students in Ms. Carver's and Mr. Wright's homerooms. She found the two lists had the same median value, but the list from Ms. Carver's class showed greater variability. If the shortest student in Mr. Wright's homeroom is 48 inches tall and the tallest student is 64 inches tall, what could be the heights of the shortest and tallest students in Ms. Carver's homeroom?
47 inches and 66 inches
What is the range of this set of heights in centimeters? {140, 166, 132, 165, 152, 168, 181, 158, 173, 171, 180, 182, 163, 177, 180, 142, 147, 149, 178}
50
If J is the set of all high school juniors and F is the set of all students on the Lakeview High School football team, which Venn diagram has a shaded region that represents the set of all juniors on the Lakeview football team?
B
The above Venn diagram represents students involved in different extracurricular activities at Franklin High School. Extracurriculars are divided into three categories: fine arts (A), sports (S), and clubs (C). What percentage of students at Franklin High School participate in at least two types of extracurricular activities?
B
Several students tested plant growth for given conditions. Which student's data is most representative of average plant growth for the tested conditions? Alicia tested 6 plants. Brenden tested 24 plants. Caitlin tested 3 plants. Diego tested 12 plants
Brenden
Kona's mother wanted to find out how many minutes her family spends on the phone for each call made. She put her data in a table after a week of observation as shown below. She asked Kona to make a histogram from the data. Which chart has the correct setup for Kona's histogram?
D.
Chin researched the amount of money 150 students earned per month from jobs held during the summer. He created a table of six sample means from his collected data. Using his results, what is a valid prediction about the mean of the population?
The predicted mean of the population will be less than 245.
The head of the math department compared the scores of students in two classes on the Chapter 2 test. He found that the mean score of both classes was the same. He also found that there was greater variability in the scores of Ms. Biren's students than in the scores of Mr. Hayes's students. Which quality of the data sets would lead the department head to that conclusion?
The range of scores in Ms. Biren's class is greater than the range of scores in Mr. Hayes's class.
For a school newspaper article, Cienna conducted a survey to find out students' favorite subjects. She polled all the students in Mrs. Lopez's advanced dance class. Why is her data likely to be skewed?
NOT Cienna should have interviewed all the students in the school to get more accurate data.
The owner of a local restaurant surveyed her staff on their preference of uniform color. The results are displayed in the table below. Which pair of samples is most representative of the preference of all the staff?
NOT None of the samples are representative because none of the values remained constant.
Rodell wants to find the favorite gaming app among the students at his school. He decides to poll the thirty students on his football team and the fifteen students on his basketball team to gather the data. What is wrong with Rodell's method for collecting his data?
NOT Rodell polled everyone on his teams; he should have only polled every other student for it to be a true sample.
Student representatives surveyed their classmates on their preference of a school mascot for a new school. The results are shown in the table below. Which pair of samples seems most representative of student preference?
NOT Sample 1 and sample 3 are most representative because 0 should not appear in a sample.
The median age of the science teachers at Mike's school is the same as the median age of the math teachers, but the ages of the math teachers show greater variability. Which statement most likely describes the data sets?
NOT There are more math teachers than science teachers at Mike's school.
The list below shows the prices of T-shirts at a clothing store. {8, 10, 10, 12, 15, 15, 18} Which statement best describes the mean of this set?
NOT the difference between the least and greatest prices. NOT the quotient of the difference between the least and greatest prices divided by 7
Jorge wants to find the most popular way for teens to volunteer in the community. He cannot decide between two methods. Option 1: He will ask every fifth person on each English class roster. Option 2: He will attend a walkathon to ask teen participants about the ways they volunteer. Which statement about the methods is true?
Option 2 is biased.
What can be said about the variation between the sample means?
The variation between the sample means is small.
Ducks Unlimited helps sample duck species across the United States. Samples from one particular location for the last two years are shown below. Which duck population seemed to hold steady?
Wood Duck
Julia had nine months to earn money for a school trip. The histogram shows Julia's monthly deposits into her savings account.Which best describes the data for June, July, and August?
a cluster
Which statement best describes the interquartile range of this set of weights? {120 lb, 115 lb, 135 lb, 105 lb, 80 lb, 160 lb}
the difference between the second and fifth elements of the set after it has been ordered from least to greatest