Stats Pt2
The scatterplot below shows the number of coupons that are used at the grocery store and amount of money that is saved. Which statement about the scatterplot is true?
As coupon use increases, the amount of savings increases.
Which scatterplot shows the weakest negative linear correlation?
C
The bar graph in the following graphic represents fictional net exports in billions of dollars for five countries. Net exports are obtained by subtracting total imports from total exports; a negative net export means the country imported more goods than it exported.China's net exports are represented by a positive integer. Explain what this tells you about imports and exports of China.
China's exports exceed imports by 120 billion dollars.
Which scatterplot shows no correlation?
D
The box plots show the weights, in pounds, of the dogs in two different animal shelters.One-half of the dogs in each shelter are between which weights?
between 21 and 30 pounds in shelter A; between 18 and 28 pounds in shelter B
Where is the gap in the data? Number of Patients Per Hour Who Waited Longer than 15 Minutes
4
The box plots show the average gas mileage of cars and minivans tested by a certain company. Which is closest to the difference in the medians of the two sets of data?
5
Which is the best representation of a nonlinear association?
A
Which scatterplot displays an example of a cluster?
A
Which scatterplot shows the weakest positive linear association?
A
The sets of data below show the heights, in inches, of students in two different preschool classes.The teachers of the two classes want to compare the heights of their students. Which statements about the data sets are accurate? Check all that apply.
Because the sets are not symmetrical, the IQR should be used to compare the data sets. Because the sets contain outliers, the median should be used to compare the data sets. The mean cannot be accurately determined based on the type of data display.
The box plots show Lauren's chemistry scores and her biology scores. Lauren used the steps below to determine the differences in the medians and the interquartile ranges.
Lauren made her first error in step 3 because she should have used 85-60=25 for chemistry and 80-60=20 for biology.
The dot plot shows the number of cupcakes bought by each person who came to a bake sale. Number of Cupcakes Bought Which is a true statement about the dot plot?
More people bought 1 cupcake than any other number of cupcakes.
The box plots show the number of hours of television a group of middle school students and a group of elementary school students watch each week.Which are true statements when comparing the data in the box plots? Check all that apply.
The data for elementary school are more consistent than those for middle school. About 50% of elementary school students watch between 4 and 7 hours of television each week. On average, middle school students watch less television than elementary school students each week.
The scatterplot shows the number of hours that several students worked to sell tickets for a concert and the number of tickets that each student sold. Which data value would cause the interpretation of the data set to be overstated?
(1, 60)
The table shows the final score of the winning hockey team compared to the total number of goals that either team attempted during the game. Each row represents a single hockey game. Which value is an outlier in the table?
(22, 11)
The table below shows a set of data. Which of the following points, if added to the table, would be an outlier?
(8, 35)
The scatterplot shows the time that some students spent studying and the number of spelling mistakes on an essay test. Which statement about the scatterplot is true?
Although (8, 17) is an extreme value, it should be part of the description of the relationship between studying time and the number of spelling mistakes.
Joseph claims that a scatterplot in which the y-values increase as the x-values increase must have a linear association. Amy claims that the scatterplot could have a nonlinear association. Which statement about their claims is true?
Amy is correct because a nonlinear association could increase along the whole data set, while being steeper in some parts than others. The scatterplot could be linear or nonlinear.
A scatterplot is produced to compare the number of hours that students study to their test scores. There are 25 data points, each representing a different student. The scatterplot shows a grouping of points rising from left to right. Which statement could be true?
As the number of hours of studying increases, test scores increase because the scatterplot has a cluster that increases from left to right.
The scatterplot below shows the number of hours that some high school students spend on working and on video games.
As the number of hours spent working increases, the amount of time spent on video games decreases.
The scatterplot below shows the number of weeks that students have been in keyboarding class and the number of mistakes that they made on a keyboarding test. Which statement about the scatterplot is true?
As the number of weeks in class increases, the number of keyboarding mistakes decreases.
A county manager used a representative sample of two populations in the county to determine the number of pounds of trash thrown away per person per week. The results are shown in the dot plots below.The town manager uses the median to show that the average amount of trash thrown away per person per week in each sample is the same. What is the town manager's error?
He should have used the mean to determine the average because the data sets are approximately symmetric.
Hugo recorded the height of each plant after he exposed each plant to a set amount of sunlight daily. The scatterplot shows his results after 2 weeks of exposing each plant to a set amount of sunlight. Which statement about the outlier in the data set is true?
Hugo should not include the outlier because it lessens the effect of showing that sunlight helps plants grow.
Two baseball coaches recorded the number of hits each player had during practice. They displayed the results in the box plots below.The coaches determined the mean and MAD from the raw data and used that information to compare the two plots. They determined there is more variability in the number of hits per player on Team 2 than on Team 1. Which best describes this conclusion?
Inaccurate. The data sets are not symmetrical. There is less variability on Team 2 than on Team 1 because the IQR of Team 2 is less than the IQR of Team 1.
What is the center of the data in the dot plot? Number of Science Homework Assignments Each Week
NOT 2.5
What is the center of the data? Number of Laps Around a Track
NOT 3
Where is the peak of the dot plot? Number of Blueberries in Each Bite
NOT 8
The scatterplot shows the time that movers spent packing large boxes for a customer. Which statement about the scatterplot is true?
NOT A B
The scatterplot below shows a set of data points. Which statement about the scatterplot is true?
NOT A or C
The two sets of data below show the number of bubbles blown in fifty trials using two different bubble solutions.Which best describes the measure of center that can be used to most accurately compare the two data sets?
NOT B
A business owner collected data on the people working for her company. She determined the average number of minutes each employee spent on breaks during an average workday. The data, broken up by gender, is shown below.The business owner uses the median and IQR to determine the center and variability of the data sets. Which best describes the comparison?
NOT B A
Which scatterplot shows the strongest relationship between the variable x and the variable y?
NOT B or C
Blake records the amount of daily rainfall along with the average daily temperature for several days. The scatterplot shows his data. Which statement about the outlier in the data set is true?
NOT Blake should include the outlier because it shows there is a relationship between rainfall and temperature.
A hockey coach recorded the number of shots taken by the home team and the number taken by the visiting team in 20 games. He displayed the results in the box plots below. Which describes an inference that the coach might make after comparing the medians of the two data sets?
NOT C
The box plots show the summer temperatures, in degrees Fahrenheit, in two cities. Linda is trying to decide which city to visit. She likes the summer temperature to be around 75 F. Which city she should visit?
She should visit city B because the temperatures are consistently closer to a median of 70 F.
Martin kept track of the number of times he had to flip a coin before it landed tails up. Number of Flips to Land Tails Up Which is a true statement about the dot plot?
Six times it took 4 flips of the coin to land tails up.
Ayana and Tabitha recorded the amount of time spent on homework on ten school days. Graphs of their data are shown.Which best explains who spends more time on homework?
Tabitha, because she has a higher median time spent
The amount of time, in hours, babies spent sleeping in two different nurseries is shown on the dot plots below.Which describes an inference that Mrs. Hardison might make after comparing the means of the two data sets?
The babies in Nursery 2 spent more time napping.
What is true of the data in the dot plot? Check all that apply. Number of Minutes for Each Commercial Break
The center is 3 The peak is 5 It is symmetric The spread is from 1 to 5 There were 14 commercial breaks
Takiya recorded the heights of two sets of plants, one set planted in the shade and one set planted in full sun. Her data are shown in the plots below.Which best explains the variability of the sets?
The full sun plants set has greater variability because the IQR for full sun plants is greater.
The box plots below show the average gas mileage, in miles per gallon, of the cars sold at a dealership in June and in December.The manager used the table below to compare the measures of center and the measures of variability. What error did the manager make in the table?
The interquartile range for December should be 21-18=3
The box plots show the average gas mileage, in miles per gallon, of cars and minivans tested by a certain company. Which correctly compares the interquartile ranges?
The interquartile range for cars is about 7 mpg, and the interquartile range for minivans is about 3 mpg.
Micah estimated the amount of time his mom and dad spend reading bedtime stories. He plotted the data in the box plot below. Which is an accurate comparison of the two data sets?
The lengths of time that his mom reads are typically longer and have more variability than the lengths of time that his dad reads.
The box plots show the weights, in pounds, of the dogs in two different animal shelters. Which is true of the data in the box plots? Check all that apply.
The median weight for shelter A is greater than that for shelter B. The data for shelter B are a symmetric data set. The interquartile range for shelter B is 4.
The box plots show the average wind speeds, in miles per hour, for various cities in two different countries. Which statement compares the median wind speeds for the data in the two box plots?
The median wind speed for country B is greater than the median wind speed for country A.
The box plots show the weights, in pounds, of the dogs in two different animal shelters. Which correctly compares the ranges of the data?
The range in shelter A is 22, and the range in shelter B is 18.
The dot plot shows the birth year of everyone who works at Sam's office. The youngest person who works there was born in 1987. Sam described the data as having a spread from 1965 to 1987, four gaps, a peak at 1984, and a center of 1978. Where did Sam make an error?
The spread is from 1966 to 1987
Which statement is true regarding the traits of scatterplots?
The strength of a correlation is independent of whether the correlation of a scatterplot is positive or negative. A scatterplot with positive correlation can have either weak correlation or strong correlation.
Which best describes the clusters in the data set? Number of Fish in Each Tank at the Pet Store
There are two clusters, at 10 and 11, and at 13, 14, and 15.
A scatterplot is produced to compare the size of a school building to the number of students at that school who play an instrument. There are 12 data points, each representing a different school. The points are widely dispersed on the scatterplot without a pattern of grouping. Which statement could be true?
There is no relationship between the size of a school building and the number of students who play an instrument because the scatterplot does not have a cluster.
Mr. Lew recorded the average length, in minutes, of phone calls received at work. He recorded the data in the box plots below.Which is an accurate comparison of the two data sets?
Time spent on professional calls is typically shorter but less consistent than time spent on personal calls.
Latisha determined the approximate amount of time each student in her homeroom class spent outside on a sunny day and on a rainy day. The dot plots below show her results.Which measures of center and variability can be used to most accurately compare the two data sets?
mean and MAD
The box plots below show the distribution of grades in one class on two tests. Which measures of center and variability would be best to use when making comparisons of the two data sets?
mean and MAD
Two sets of data are each symmetrical and do not contain outliers. Which measures of center and variability would be most effective to use when making comparisons between the two data sets?
mean and MAD
The box plots below show the distribution of salaries, in thousands, among employees of two small companies. Which measures of center and variability would be best to use when making comparisons of the two data sets?
median and IQR
What type of association is shown by the scatterplot? (Its a U shape)
nonlinear, strong
The box plots show the weights, in pounds, of the dogs in two different animal shelters.Which animal shelter has the dog that weighs the greatest?
shelter A