2. Do You See What I See? (Every Quiz)
A basketball player averages 22.5 points scored per game with a standard deviation of 6.2 points. In one game, the number of points the athlete scored was 1.2 standard deviations below the mean. Which of the following is the z-score for the number of points scored? -7.4 -1.2 1.2 7.4
b
A basketball player averages 22.5 points scored per game with a standard deviation of 6.2 points. In one game, the athlete scored 10 points. What is the z-score for the points scored in this game? -2.02 -1.63 1.63 2.02
a
A runner's distribution of times for running 1,000 meters has a mean of 4.5 minutes with a standard deviation of 0.75 minutes. One of the runner's times has a z-score of -1.76. What is the runner's time? 3.18 minutes 3.75 minutes 5.25 minutes 5.82 minutes
a
Currently, professional men's basketball players score an average of 18.2 points per game with a standard deviation of 4.5 points. The current top-scoring professional basketball player scores an average of 36.2 points per game. In one season in the 1990s, professional basketball players averaged 13.2 points per game with a standard deviation of 3.7 points. The top-scoring professional basketball player averaged 30.1 points per game. Which player did better relative to his peers? The 1990s basketball player did better than the current basketball player because his z-score is higher. The current basketball player did better than the 1990s basketball player because his z-score is higher. The 1990s basketball player did better than the current basketball player because his z-score is closer to the mean. The current basketball player did better than the 1990s basketball player because his z-score is closer to the mean.
a
Customers in a coffee shop were asked if they prefer caffeinated or decaffeinated coffee and if they prefer their coffee with or without milk. The results are displayed below. Based on the graph, is there an association between the type of coffee and milk preference? There is an association because the distribution of milk preference differs among the types of coffee. There is an association because the distribution of milk preference is the same among the types of coffee. There is no association because the distribution of milk preference differs among the types of coffee. There is no association because the distribution of milk preference is the same among the types of coffee.
a
Passengers traveling by airplane have two options for their bags: carry-on (for smaller bags) or check (for large bags). An airline examines the baggage choices of its customers on a selection of short flights (less than 500 miles) and long flights (more than 500 miles). What is the probability that a customer is on a short flight and checked their bag? 15.1% 31.1% 36.4% 48.8%
a
People of different ages were asked the question "Do you listen to audiobooks?" The bar chart displays the percentage of "yes" responses in each age group. Would it be appropriate to display the data with a pie chart? No, because the proportions are not parts of a whole. No, because the data categories are too broad. Yes, because the data are grouped into categories. Yes, because the data can be represented by a relative frequency compared to the whole.
a
Some students were surveyed about their eye color and their favorite color. The results are displayed below. Which of the following statements is true, based on the graph? The distribution of favorite color is the same for each eye-color group. The group that had the highest percentage of those who like blue is the brown eye group. The group that had the highest percentage of those who like red is in the hazel eye group. The group that had the lowest percentage of those who like orange is the green eye group.
a
The bars in this graph represent the favorite sport listed by teenagers in a random sample. Is this graph misleading? Yes, because the scale does not start at 0. Yes, because the bars are not the same height. No, because the bars are all the same width. No, because the scale starts at 0.
a
The dotplots below display the number of bite-size snacks that students in two statistic classes grabbed with one hand. Class A has 32 students and Class B has 34 students. Which statement best compares the variability of the number of snacks grabbed for Class A and Class B? The number of snacks grabbed for Class A has less variability than the number of snacks grabbed for Class B. The number of snacks grabbed for Class B has less variability than the number of snacks grabbed for Class A. The number of snacks grabbed for Class A has more variability than the number of snacks grabbed for Class B. The number of snacks grabbed for Class B has about the same variability as the number of snacks grabbed for Class A.
a
The parallel boxplots below display the bag weights of two different brands, A and B, of granola. Which brand of granola typically weighs more? Brand A bags typically weigh more because the median of brand A is higher than that of brand B. Brand B bags typically weigh more than brand A bags because there is a high outlier at 52.5. Brand A bags typically weigh more than brand B bags because there are no outliers in the distribution. Brand B bags typically weigh more because the range of weights is higher than that of brand A.
a
The parallel boxplots below display the quiz grades (out of 30) for two of Mrs. Smith's statistics classes. Which statement best compares the variability of the quiz scores for the two classes? The quiz grades for class 1 have more variability than the quiz grades for class 2. The quiz grades for class 1 have less variability than the quiz grades for class 2. The quiz grades for class 1 are not as spread out as the quiz grades for class 2. The quiz grades for class 1 are higher, on average, than the quiz grades for class 2.
a
The pie chart below indicates the eye colors of 30 students in a statistics class. Which of the following bar graphs could be equivalent to the pie chart?
a
The pie chart below indicates the eye colors of students in a statistics class. Which of the following is not a correct statement about the pie chart? More students have hazel eyes than blue. Most of the students in the class have brown eyes. More students in the class have blue eyes than hazel. The fewest number of students have gray eyes.
a
The relative frequency table below displays the proportion of colors of cars for sale at a dealership. What proportion of cars are yellow? 0.04 0.1 0.15 0.4
a
The scores for 21 students on an exam are summarized in the stemplot below. The teacher realizes that a mistake was made and the student whose score was recorded as 49% should have been 94%. If the mistake is corrected, what effect will this have on the mean and median scores? The mean and median will both increase. Neither the mean nor the median will change. The mean will increase but the median will decrease. The mean will increase but the median will be unchanged.
a
The stemplot below represents the number of bite-size snacks grabbed by 32 students in an activity for a statistics class. What percentage of the number of snacks grabbed is greater than 29? 16% 25% 75% 84%
a
The weekly sales results of three sales teams are displayed below. Based on the graph, is there an association between team sales and the day of the week? There is an association because the distribution of team sales differs among the days of the week. There is an association because the distribution of team sales is the same among the days of the week. There is no association because the distribution of team sales differs among the days of the week. There is no association because the distribution of team sales is the same among the days of the week.
a
Vehicles passing over a bridge have two options for paying their bridge toll: paying with a live cashier or using a Speed Pass device affixed to the dashboard. Data on a busy day for cars and trucks passing over the bridge are shown here. What proportion of vehicles crossing the bridge are trucks and use Speed Pass? 0.2814 0.4123 0.6826 0.7231
a
A college student would like to investigate the prices of sandwiches offered near the campus. A sample of 50 shops that sell sandwiches near the campus was taken and the price they charge for a large sandwich was recorded. The results are displayed in the cumulative relative frequency histogram below. Which interval contains the median sandwich price? $9-$10 $10-$11 $11-$12 $12-$13
b
A college student would like to investigate the prices of sandwiches offered near the campus. A sample of 50 shops that sell sandwiches near the campus was taken and the price they charge for a large sandwich was recorded. The results are displayed in the cumulative relative frequency histogram below. Which is a correct statement regarding sandwich prices, based on the histogram? The distribution of sandwich prices is skewed left. The interval from $9 to $10 contains the largest number of sandwich prices. About 62 percent of sandwich shops sell their large sandwich for between $10 and $11. More sandwich shops sell a large sandwich for $12 to $13 dollars than for $10 to $11.
b
A random sample of teenagers were surveyed and asked about their favorite sport. The pie chart below displays their responses. Which of the following could be the percentage for volleyball? 5% 13% 25% 50%
b
A sample of 10 packs of a brand of chewing gum was taken. Each pack was weighed and their weights, in grams, are shown. 43.0, 43.7, 49.6, 46.9, 47.6, 45.4, 51.2, 48.0, 40.5, 49.1 What is the z-score for the pack of gum weighing 43 grams? -1.13 -1.05 1.05 1.13
b
A sample of 50 students was surveyed about their time spent in front of a screen (laptop, tablet, phone, etc.). Each interval contains the left endpoint but not the right endpoint. In which interval is the median? [4,5) [5,6) [6,7) [7,8)
b
An indoor running track is 200 meters in length. During a 3,000-meter race, runners must complete 15 laps of the track. An electronic timing device records the amount of time it takes each runner to complete a lap for every lap in the race. These are called lap times. The histograms below display the lap times for both Stefano and Alex, runners in the 3,000-meter race. Using the histograms, which of the following is a correct comparison? Neither runner had a lap time between 35 and 36 seconds. Alex's lap times show less variability than Stefano's lap times. The median lap time for both runners is in the 38-39 interval. Both runners' highest number of lap times in the 37-38 interval.
b
An urban planner collects data on how park trails are used by residents. The planner looks at two trails: one that winds through an urban area and another in a suburban park. The table shows the number of users who walk, jog, or bike the trail. What proportion of park users jog on the park trail? 0.1625 0.3350 0.4328 0.5672
b
Claire wants to determine how her math score, 690, on a standardized college entrance exam compares to her mother's score, 680, when she took the exam 20 years earlier. The year Claire took the exam, the mean math score was 510 with a standard deviation of 110 points. When Claire's mother took the exam, the mean math score was 490 with a standard deviation of 100 points. Who had the better relative performance? Claire did better because her z-score is greater than her mother's. Claire's mother did better because her z-score is greater than Claire's. Claire did better because her z-score is closer to the mean than her mother's. Claire's mother did better because her z-score is closer to the mean than Claire's.
b
Does eating a mint affect a person's taste buds? To answer this question, students were randomly placed into two groups. One group had to eat a mint, and the other did not. Then all the students were given a cup that had one of two brands of ice tea. Students were asked to guess which brand of ice tea they had. The results are displayed below. Which of the following statements is true, according to the graph? Students who ate a mint were more accurate guessers. Students who did not eat a mint were more accurate guessers. Students who did not eat a mint made more incorrect guesses. Eating a mint did not have an effect on a student's ability to guess the ice tea.
b
Drivers pay a toll to pass over a busy bridge, and there are many toll booths that collect money. The city manager counted the total number of cars waiting to pay their tolls at 15-minute intervals during the day for a total of 50 observations. The histogram below shows the results. Which interval contains the median number of cars in line? 10-20 cars 20-30 cars 30-40 cars 40-50 cars
b
Drivers pay a toll to pass over a busy bridge, and there are many toll booths that collect money. The city manager counted the total number of cars waiting to pay their tolls at 15-minute intervals during two different days, once on a weekday and once on a weekend. The histograms below show the results. Using the histograms, which of the following is the correct comparison of the distributions? The 10-20 interval contains the most observations on both days. The two distributions for number of cars in line are both skewed right. The median number of cars for both distributions lies in the 20-30 interval. There were more than 40 cars in line more often on the weekend than the weekday.
b
IQ scores are collected from a sample of 36 students at a large university. The scores are summarized in the histogram below. Which of the following statements is true of the mean and median? The mean is equal to the median IQ. The mean is less than the median IQ. The mean is greater than the median IQ. It cannot be determined because we cannot tell the exact values of the IQ scores in the sample.
b
In some gymnastics meets, the score given to a gymnast is the mean of the judges' scores after the highest and lowest scores have been tossed out. Nikita's scores on the floor routine from all of the judges are shown below. 7.50, 7.50, 7.75, 7.75, 8.00, 8.00, 8.00, 10.00 How does Nikita's mean score before removing the highest and lowest scores compare to her mean score after the highest and lowest scores are removed? Her score does not change. Her score is lower after removing the highest and lowest scores. Her score is higher after removing the highest and lowest scores. There is not enough information to determine if her score increases or decreases.
b
On a unit test in a statistics class, the teacher determines that the mean test grade was 77.5 with a standard deviation of 5.2. One test grade has a z-score of 2.4. Which of the following statements gives the best interpretation of this z-score? This student's test grade was higher than 2.4% of the other students' test grades. This student's test grade was 2.4 standard deviations above the mean test grade. This student's test grade was 2.4 standard deviations below the mean test grade. The student's test grade was lower than 2.4% of the other students' test grades.
b
Residents in a city are charged for water usage every three months. The water bill is computed from a common fee, along with the amount of water the customers use. The last water bills for 40 residents from two different neighborhoods are displayed in the histograms. Which statement correctly compares the water bills for the two neighborhoods? Overall, water bills on Pine Road are less than those on Front Street. Overall, water bills on Pine Road are higher than those on Front Street. The range of water bills on Pine Road is lower than the range of water bills on Front Street. The range of water bills on Pine Road is higher than the range of water bills on Front Street.
b
Some teenagers collected trash for a beach clean-up. The data for the number of pounds of trash collected by each teenager are shown below. 26, 26, 21, 22, 20, 25, 35 What is the IQR of the data? 1 pounds 5 pounds 5.033 pounds 15 pounds
b
Students apply for admission to different academic programs within a college. Because of space, each program can only accept a limited number of students. The table below shows the acceptance data for a selection of majors in the college. For the majors listed here, what proportion of students were rejected?
b
The arm spans were measured, in centimeters, for 12 students. The results are shown below. 148, 151, 154, 155, 160, 161, 162, 162, 167, 170, 171, 180 A student used the data to create this stemplot. Does this stemplot accurately display the data? No, the stems should not be split. Yes, this is an accurate display of the data. No, there should be another stem of 17. No, there should be another stem of 17 and another stem of 18.
b
The graph below displays a fire department's response time, which measures the time from when the alarm is sounded at the firehouse to the time the first fire engine leaves the station. Which interval contains the median response time? 40-50 seconds 50-60 seconds 60-70 seconds 70-80 seconds
b
The heights of a sample of 15 students are recorded in the stemplot below. What is the mean height, in inches, of this sample? 65 65.2 66 67
b
The stemplot below displays the arm spans, in centimeters, for 44 students. What percentage of students has an arm span of at least 170 cm? 41% 45% 55% 59%
b
The weekly sales results of three sales teams are displayed below. Which of the following statements is not true, according to the graph? Team A has its highest sales toward the end of the week. Team B has its highest sales toward the end of the week. Team A has its lowest sales toward the beginning of the week. Team C has its highest sales toward the beginning of the week.
b
Thirty-four high school students were surveyed and asked how many siblings they have. The dotplot below displays the distribution of responses. What percent of students have fewer than 2 siblings? 9% 24% 26% 50%
b
Twelve people were surveyed and asked how many people live in their residence. The results are summarized in the table below. What is the median number of people per residence? Round to one decimal place if needed. The median is 2 people per residence. The median is 2.5 people per residence. The median is 2.8 people per residence. The median is 3.5 people per residence.
b
Which of the following statements is true about the IQR, range, and standard deviation? The IQR is the least resistant to extreme values. The IQR is the most resistant to extreme values. The range is the most resistant to extreme values. The standard deviation is the most resistant to extreme values.
b
A box of LED light bulbs was tested to see how long the light bulbs last. The standard deviation of the light bulb lifetime data was five years. Which of the following is the best interpretation of this value? Fifty percent of the light bulb lifetime data is below five years. The difference between the longest and shortest light bulb lifetime was five years. The lifetime of the light bulbs typically varies by about five years from the mean. The middle half of the light bulb lifetime data has a range that is five years wide.
c
A statistics student gave a survey to students which asked how many first cousins they have. The data from the first nine responses are shown below. 6, 2, 7, 8, 8, 8, 5, 10, 10 What is the IQR of the data? 2.52 first cousins 3 first cousins 3.5 first cousins 8 first cousins
c
An indoor running track is 200 meters in length. During a 3,000-meter race, runners must complete 15 laps of the track. An electronic timing device records the time it takes each runner to complete a lap for every lap in the race. These are called lap times. The histogram below displays the lap times for Stefano, a runner in the 3,000-meter race. Which interval contains the median lap time? 36-37 seconds 37-38 seconds 38-39 seconds 39-40 seconds
c
IQ scores are collected from a sample of students at a large university. The scores are shown below. 99, 100, 105, 104, 102, 105, 105, 121, 104 What is the mean IQ for this sample? 102 104 105 110
c
One drive-through car wash facility offers three different types of washes: basic, deluxe, and supreme. The manager of the car wash facility tallies customer selections over three days: What proportion of customers selected the deluxe car wash? 0.1698 0.2264 0.5283 0.5584
c
People of different ages were asked the question "Do you listen to audiobooks?" The bar chart displays the percentage of "yes" responses in each age group. Which of the following statements is correct? More 18- to 25-year-olds listen to audiobooks than 26- to 35-year-olds. Fewer 18- to 25-year-olds listen to audiobooks than 13- to 17-year-olds. More 36- to 45-year-olds listen to audiobooks than 26- to 35-year-olds. Fewer 36- to 45-year-olds listen to audiobooks than 26- to 35-year-olds.
c
Several students were selected to participate in a two-question survey. They were asked if they prefer a cat or dog as a pet and if they prefer salad or soup for lunch. The results are displayed below. Which of the following statements is true about the graph? The percentage of people who prefer salad for lunch is larger for those who prefer dogs as pets. The percentage of people who prefer soup for lunch is larger for those who prefer cats as pets. The percentage of people who prefer salad for lunch is about the same no matter what their pet preference. The percentage of people who prefer soup for lunch is smaller for those who prefer dogs as pets.
c
Shoppers were surveyed about their spending for holiday shopping. The standard deviation of the amount shoppers spent was $125. Which of the following is the best interpretation of this value? Fifty percent of the amount shoppers spent is above $125. The middle half of the amount shoppers spent has a range that is $125 wide. The amount shoppers spent typically varies by about $125 from the mean. The difference between the largest and smallest amounts shoppers spent was $125.
c
The dotplot below displays the difference in scores for 18 games between a high school soccer team and its opponent. What percentage of games were won by the high school soccer team? 17% 28% 72% 83%
c
The dotplot below displays the number of math classes taken by a random sample of students at a high school. Which of the following is the best description of the shape and center of the dotplot? The distribution of math classes is skewed left with a center around 4 classes. The distribution of math classes is skewed left with a center between 3 and 4 classes. The distribution of math classes is unimodal symmetric with a center around 4 classes. The distribution of math classes is unimodal symmetric with a center between 3 and 4 classes.
c
The five-number summary of a data set is given below. Minimum: 3 Q1: 12 Median: 15 Q3: 16 Maximum: 20 Which of the following is the IQR for this distribution? 1 3 4 5
c
The parallel boxplots below display the quiz grades (out of 30) for two of Mrs. Smith's Statistics classes. Which class performed better on this quiz? Class 1 performed better because their scores ranged from 12 to 30. Class 1 performed better because their median score is higher than the median score for class 2. Class 2 performed better because their median score is higher than the median score for class 1. Class 2 performed better because the distribution of quiz grades is approximately symmetric.
c
The parallel dotplots below display the number of hours spent studying for a final exam by each of two classes. Which of the following is a true statement? The range for the distribution of the number of hours spent studying for calculus is larger. The range for the distribution of the number of hours spent studying for statistics is larger. There is a larger standard deviation in the distribution of the number of hours spent studying for calculus. The standard deviation for the distributions of number of hours spent studying is the same for both classes.
c
The picture graph below displays the number of miles for each leg of a triathlon, in which the participants swim 2.4 miles, bike 112 miles, and run 26.2 miles. Is this graph misleading? No, because the pictures accurately represent the number of miles for each leg of the triathlon. No, because the height of each column corresponds to the number of miles for each leg of the triathlon. Yes, because the pictures do not accurately represent the proportions of the distances for each leg of the triathlon. Yes, because the height of each column does not represent the number of miles for each leg of the triathlon.
c
The stemplot below represents the number of bite-size snacks grabbed by 10 students in an activity for a statistics class. What is the correct set of data for the stemplot? 15, 16, 17, 19, 20, 21, 23, 32, 42 15, 16, 16, 17, 19, 21, 23, 32, 42 15, 16, 16, 17, 19, 20, 21, 23, 32, 42 15, 15, 16, 17, 19, 20, 21, 23, 32, 42
c
Three car dealerships were surveyed about the percentage of vehicles on their lot with automatic or manual transmissions. The results are displayed below. Which of the following statements are true, according to the graph? Dealership A has the highest percentage of automatic transmissions. Dealership B has the highest percentage of automatic transmissions. Dealership C has the highest percentage of automatic transmissions. All three dealerships have approximately the same percentage of automatic transmissions.
c
A college graduate seeks a job as an executive assistant and collects data on starting salaries from 200 companies: 100 private and 100 public. The data are summarized in the cumulative relative frequency histograms below. Using the histograms, what is a correct comparison of public and private starting salaries? Both salary distributions are skewed left. In both groups, more than 10 percent of salaries are greater than $55,000. The median salary for both groups is between $45,000 and $50,000. Both private and public salaries range from a low of $35,000 to $40,000 to a high of $60,000 to $65,000.
d
A popular restaurant advertises that it delivers its orders within 30 minutes. Suppose the average delivery time for one restaurant is 27 minutes with a standard deviation of three minutes. What is the delivery time with a z-score of 1.2? 23.4 minutes 27.4 minutes 28.2 minutes 30.6 minutes
d
A statistics student gave a survey to students which asked how many first cousins they have. The data from the first nine responses are shown below. 6, 2, 7, 8, 8, 8, 5, 10, 10 What is the range of the data? 2.52 first cousins 3.5 first cousins 4 first cousins 8 first cousins
d
A survey asked 25 students about their favorite sport. A frequency table of the responses is listed below. Which of the following is the correct bar graph for the students' favorite sport?
d
In a certain breed of cattle, the length of gestation has a mean of 284 days and a standard deviation is 5.5 days. What is the z-score for a gestation period that lasts 290 days? -1.09 -1.00 1.00 1.09
d
In a certain breed of cattle, the length of gestation has a mean of 284 days and a standard deviation is 5.5 days. One length of gestation had a z-score of -1.70. Which of the following sentences best interprets this z-score? The length of this gestation period was longer than the mean length of gestation periods by 1.7 days. The length of this gestation period was shorter than the mean length of gestation periods by 1.7 days. The length of this gestation period was longer than the mean length of gestation periods by 1.7 standard deviations. The length of this gestation period was shorter than the mean length of gestation periods by 1.7 standard deviations.
d
In the US, the gear shift for a car with a manual transmission is on the right-hand side of the driver. Does this discourage those who are left-handed from driving a manual transmission car? Several drivers were surveyed about their handedness and the type of transmission they have in their automobile. The results are displayed below. Based on the graph, is there an association between handedness and type of transmission used? There is an association because the distribution of transmission type differs among the handedness groups. There is an association because the distribution of transmission type is the same among the handedness groups. There is no association because the distribution of transmission type differs among the handedness groups. There is no association because the distribution of transmission type is the same among the handedness groups.
d
Several students were selected to participate in a two-question survey. They were asked if they prefer a cat or dog as a pet, and if they prefer soup or salad for lunch. The results are displayed below. Based on the graph, is there an association between pet preference and lunch preference? There is an association because the distribution of lunch preference differs among the pet groups. There is an association because distribution of lunch preference is approximately the same among the pet groups. There is no association because the distribution of lunch preference differs among the pet groups. There is no association because the distribution of lunch preference is approximately the same among the pet groups.
d
Some students were surveyed about their eye color and their favorite color. The results are displayed below. Based on the graph, is there an association between eye color and favorite color? There is an association because the distribution of favorite colors differs among the eye-color groups. There is an association because the distribution of favorite colors is the same among the eye-color groups. There is no association because the distribution of favorite color differs among the eye-color groups. There is no association because the distribution of favorite colors is the same among the eye-color groups.
d
The boxplot displays the arm spans for 44 students. Which of the following is not a true statement? There are no outliers in this distribution. The shape of the boxplot is fairly symmetric. The range of the distribution is around 60 cm. The center of the distribution is around 180 cm.
d
The boxplot displays the grades (out of 30) that 26 students received on a quiz. Which of the following statements is false? The distribution of quiz grades is skewed left. The distribution of quiz grades has an IQR of 4. The distribution of quiz grades has four outliers. The distribution of quiz grades has a center around 21.
d
The pie chart below indicates the eye colors of students in a statistics class. Which of the following could be the percentage of students with brown eyes? 10% 15% 20% 35%
d
The stemplot below displays the grades (out of 30) that 26 students received on a quiz. Identify the outliers, if they exist. There are no outliers. 12, 14, 15 12, 14, 30 12, 14, 15, 16
d
The stemplot below displays the times, in seconds, for 25 students to run 100 meters. Which of the boxplots correctly displays the data?
d
A brand of frozen green beans lists a weight of 32 ounces on its bag. Because of variability in the manufacturing process, the bags often contain slightly more, or less, than 32 ounces of green beans. An inspector takes a random sample of 25 bags of green beans and records their weights. The weights and their relative frequencies are summarized in the histogram below. Which is a true statement about the bags of green beans in the sample? Twenty percent of the bags have a weight below 32.2 ounces. Sixty percent of the bags have a weight over 32.2 ounces. Eighty percent of the bags have a weight over 32.2 ounces. The interval from 32.3 to 32.4 contains the highest proportion of bags.
not a
Thirty-six students at a large university were given a test to measure their intelligence quotient (IQ). A histogram of the IQ test scores is shown below. In each interval, the left endpoint is included in the interval, but not the right endpoint. In which interval is the median located? 99-102 102-105 105-108 108-111
not a
A movie theater offers three types of tickets: child, student, and adult. Ticket sales for two movies are shown in the table. If a ticket was sold for Space Force, what is the probability it was a student ticket?
not a maybe b
The stemplot displays 26 students' scores on a 90-point statistics test. Which of the following best describes the shape of the distribution of test scores? bimodal and symmetric slightly skewed left slightly skewed right heavily skewed right
not a maybe b
A sample of adults was asked to choose their favorite sport to watch from a list of four sports. Given that an adult likes soccer, what is the probability the adult is aged 18-30? 8.1% 18.1% 24.5% 44.4%
not a maybe d
Food services for a school district examined the choices of side dish for students at three types of schools in the district: elementary school, middle school, and high school. Given that a student chose apple wedges, what is the probability that the student is in high school? 9.0% 22.5% 28.1% 40.0%
not a maybe d
Passengers traveling by airplane have two options for their bags: carry-on (for smaller bags) or check (for large bags). An airline examines the baggage choices of its customers on a selection of short flights (less than 500 miles) and long flights (more than 500 miles). What is the probability that a customer is on a short flight, given that the customer has a carry-on bag?
not a maybe d
A student collected data on the size of coffee chosen by customers at a convenience store, and whether the customers took their coffee with cream, sugar, or both. Given that a customer likes both cream and sugar, what is the probability that the customer chose a large coffee? 18.8% 28.6% 52.5% 56.8%
not b maybe c
As an introduction to probability, a student is asked to roll a fair, six-sided number cube seven times. The results of those seven rolls are shown below. 1, 4, 4, 4, 4, 6, 5 What is the standard deviation of the data? 1.41 1.53 2.33 5
not c
The stemplot below displays the arm spans, in centimeters, for 20 students. Identify the outliers, if they exist. There are no outliers. 153 202 192, 202
not c
Some teenagers collected trash for a beach cleanup. The data for the number of pounds of trash collected by each teenager are shown below. 26, 26, 21, 22, 20, 25, 35 What is the standard deviation of the data? 0 pounds 4.66 pounds 5.03 pounds 25.33 pounds
not d
Thirteen students in a statistics class were asked how many siblings they have. Their responses are listed below. 0, 1, 2, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6 Which of the following boxplots correctly displays the data?
not d
The dotplots below display the scores for two classes on a 30-point statistics quiz. Class A has 26 students and Class B has 25 students. Which statement best compares the scores for Class A to Class B? The median score for Class A is lower than Class B's. The median score for Class B is lower than Class A's. The median score for Class A is higher than Class B's. The median score for Class B is about the same as Class A's.
not d maybe a
In a recent survey, students were asked how long they play video games in one sitting. The interquartile range of the length of play times was 43 minutes. Which of the following is the best interpretation of this value? Fifty percent of the video game data is below 43 minutes. The middle half of the video game data has a range that is 43 minutes wide. The number of minutes played by students typically varies by about 43 minutes from the mean. The difference between the smallest and largest values in the video game data was 43 minutes.
not d maybe b
Test scores for 26 students in an introductory statistics course are displayed in the stemplot below. The scores range from 72 to 98. The teacher wants to encourage her students by reporting that, overall, the scores were high. Should she use the mean or median to summarize the center of the distribution of scores? She could choose either one because they are equal. She should report the mean because it will be greater than the median. She should report the median because it will be greater than the mean. All the missing scores are needed in order to decide.
not d maybe b
The distribution of ages of runners in a marathon is approximately normal. The oldest participant was 80 and the youngest was 13. Which of the following statements is true of the mean and median ages of the runners? The mean is less than the median. The mean is greater than the median. The mean and median are approximately equal. The actual ages of all runners are needed to decide.
not d maybe c
