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DUCKS UNLIMITED DATA AND
STATS FINAL TESTS WITH
CORRECT ANSWERS
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? - Correct Ans : NOT Sample 1 and sample 3 are most representative because 0 should not appear in a sample.
Which value is the best estimate of the mean of the population? -
Correct Ans : 24.
Looking at the table of sample means, which value is the best
estimate of the mean of the population? - Correct Ans : 14
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. - Correct Ans :
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. - Correct Ans : 4
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. - Correct Ans : 6.9 oz and 8.1 oz.
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. - Correct Ans : 2.
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? - Correct Ans : Sample 2
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? - Correct Ans : 3 and 4
What can be said about the variation between the sample means? -
Correct Ans : The variation between the sample means is small.
Ardem collected data from a class survey. He then randomly selected samples of five responses to generate four samples. Using his four
What is the mean distance that his students live from the school,
rounded to the nearest tenth? - Correct Ans : 4.2 miles
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? - Correct Ans : About 36 seventh- grade students like reggae music.
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? -
Correct Ans : 13/
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? -
Correct Ans : About a third of the residents prefer a park improvement of more trees.
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? -
Correct Ans : a random sample of 10% of all taxpayers
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? - Correct Ans : a random group of 40 people on the street
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? - Correct Ans : 18/20 or 9/
A set P consists of all natural numbers between 1 and 100, inclusive.
Use set-builder notation to define P. - Correct Ans : A
Park County, Wyoming, has a population of approximately 28, 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? - Correct Ans : 13,
Jorani flips two standard American quarters. How many ways can she get at least one head?
A set X consists of all real numbers greater than or equal to 1. Use
set-builder notation to define X. - Correct Ans : 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? - Correct Ans : NOT C
Given the set definitions below, find MxN. - Correct Ans : NOT B
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? - Correct Ans : 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? - Correct Ans : B
Which Venn diagram has shading that represents the given set? Sc^T
Which statement describes the shaded region in the Venn diagram? -
Correct Ans : B. K^L^M
Which Venn diagram represents N^N? - Correct Ans : A.
What is the range for this set of data?
7, 15, 12 - Correct Ans : 8
Eight car dealerships reported the number of cars they sold last month.
What is the interquartile range of this set of data? - Correct Ans :
What is the upper and lower quartile of this set of data?
15, 19, 20, 25, 31, 38, 41 - Correct Ans : lower quartile: 19
upper quartile: 38
What are the steps to find the lower and upper quartiles of a data
set? - Correct Ans : 1. Order the values.
- Find the median.
- Find the lower quartile.
- Find the upper quartile.
Harlon recorded this set of data, which contains an outlier.
- Compare the ranges.
Week 1 had the larger range in minutes.
Swati recorded this data set, which contains an outlier.
163, 97, 184, 199, 169, 175
What numbers represent the lower and upper quartiles? - Correct
Ans : lower quartile: 163
upper quartile: 184
What is the range for this set of data?
38, 17, 55, 40 - Correct Ans : 38
Use the data set to determine which statements are correct. Check all that apply.
35, 41, 18, 75, 36, 21, 62, 29, 154, 70 - Correct Ans : The median is 38.5.
There is an outlier.
The lower quartile is 29.
The upper quartile is 70.
The interquartile range is 41.
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? - Correct Ans : The range of scores in Ms. Biren's class is greater than the range of scores in Mr. Hayes's class.
Which statement best describes the interquartile range of this set of weights?
{120 lb, 115 lb, 135 lb, 105 lb, 80 lb, 160 lb} - Correct Ans : the difference between the second and fifth elements of the set after it has been ordered from least to greatest
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? - Correct Ans : 8
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} - Correct Ans : 50
Rosa's work finding the median of a set of test scores is shown below.
Which statement best describes Rosa's first error? - Correct Ans : She should have reordered the elements from least to greatest.
Jada is studying the variability of her quiz scores. Which pair of
statistics best describes the spread of scores? - Correct Ans : range and interquartile range
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? - Correct Ans : 47 inches and 66 inches
What is the difference between the mean and the median of the data set?
{22, 8, 10 ,18 ,12, 20} - Correct Ans : 0
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? - Correct Ans : NOT There are more math teachers than science teachers at Mike's school.
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? - Correct
Ans : D.
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? - Correct Ans : 1 to 7.
What is the best description of the data in the histogram? - Correct
Ans : The data set is symmetrical.
To pass science, a student must earn at least a grade of 70. How
many students failed this science class? - Correct Ans : 7
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? - Correct Ans : a cluster
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? - Correct Ans : None of her paychecks were between 21 and 30 dollars.
Johanna graphed the number of calls she made during one day. How
many calls were made before 6 p.m.? - Correct Ans : 20
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? -
Correct Ans : 0 - 1.
should survey each of the other history classes. Only one grade is being surveyed by this method.
Which dot plot shows a sample that is most representative of the
number of pets in a household? - Correct Ans : A
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. - Correct Ans : 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.
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? -
Correct Ans : Adults have less variability in the hours of sleep
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 - Correct Ans : Brenden
What is the best definition for "sample" as used in statistics? -
Correct Ans : a part of the population that represents the entire population
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? - Correct Ans : Option 1 is biased
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? - Correct Ans : Option 2 is biased.
Which type of graph most readily shows the interquartile range for a
data set? - Correct Ans : box plots
For a school newspaper article, Cienna conducted a survey to find out students' favorite subjects. She polled all the students in Mrs.
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? - Correct Ans : He should poll more students to eliminate the variability caused by a sample size that is too small
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. - Correct Ans : No, because the vertical scale exaggerates the differences in speed.
Three printing companies were rated on their performance using a
percentage scale. This graph shows how they were rated. - Correct
Ans : All three companies were rated to be equal.
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? - Correct Ans : Diameters should be the same, so only the heights are compared.
What gives the impression that one group has twice as many
endangered species as mammals? - Correct Ans : The break in the vertical axis.
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 - Correct Ans : The vertical scale is too narrow. It needs to be a wider range, such as 0 to 100.
"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." - Correct Ans : 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 -
Correct Ans : No, because the vertical scale exaggerates the differences between brands.
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. - Correct Ans : b. Change the horizontal scale to increments of 10 days instead of increments of 1 day.
Is the data set "distance a baseball travels after being hit" quantitative or qualitative? If it is quantitative, is it discrete or
continuous? - Correct Ans : 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? - Correct
Ans : quantitative, discrete
