Middle School Math (5164) - Statistics and Probability
Bill went to the store to purchase new clothes for the upcoming school year. Bill purchased 8 shirts, 4 pairs of shorts, and 2 pairs of pants. If a single outfit consists of one shirt and either one pair of shorts or one pair of pants, how many outfits can Bill create with the clothes he purchased? (32) (42) (16) (48)
48
What is the median of the data set below? 15, 18, 19, 54, 74, 94, 67, 82, 48, 31, 15 (47) (44) (48) (54)
48
A meteorologist uses a weather model to predict the chances of precipitation for the week. On Wednesday, there is a 70% chance of precipitation and a 10% chance that the precipitation will be snow. On Thursday, there is a 3 out of 10 chance of precipitation. What is the probability that it will snow on Wednesday and that there will be no precipitation on Thursday? (49%) (7%) (2%) (5%)
5%
Fat has 9 calories per gram whereas carbohydrates and proteins each have 4 calories per gram. What is the weighted average, in calories per gram, of a meal with 34 grams of fat, 41 grams of protein, and 81 grams of carbohydrates? (4.7 Cal/g) (6.5 Cal/g) (5.1 Cal/g) (5.7 Cal/g)
5.1 Cal/g
Calculate the mean weight of a group of apples with the following individual weights: 4.6, 4.9, 5.5, 5.8, 6.0, 6.4, 6.5, and 5.8 ounces (5.7) (5.8) (6.5) (4.6)
5.7
Of the 40 prizes in the toy box, 15 are slime, 18 are fidget spinners, and 7 are candy. If a student reaches in the box and randomly draws a prize, what is the probability that it is not slime? (33/40) (5/8) (7/40) (3/8)
5/8
There are green, blue, red, and yellow marbles in a bag. The probability of selecting one green marble is 1/5. If there are 10 green marbles in the bag, how many total marbles are in the bag? (15) (30) (40) (50)
50
A randomized poll was conducted at the high school. Of the 2500 students that were surveyed, 28 out of every 35 spend more than an hour each day on homework. Estimate the number of polled students who spend less than an hour each day on homework. (175) (700) (500) (875)
500
What is the mode of the data set? 22 23 30 38 45 46 48 55 55 60 61 63 67 70 77 80 93 95 97 99 100 (63) (78) (61) (55)
55
A total of 1,285 students in four high school grades were surveyed to see which was their favorite subject. The sophomores' responses are listed in the table below. English Math Science History Totals Sophomores 82 64 95 91 332 What is the experimental probability of a sophomore choosing math as their favorite subject? (64/268) (83/332) (64/83) (64/332)
64/332
A gumball machine is filled with 23 blue gumballs, 26 red gumballs, 18 yellow gumballs, and 22 green gumballs. When a penny is inserted into the machine, a gumball is released. José inserts a penny into the machine and receives a green gumball. What is the probability that the next person to insert a penny will NOT receive a green gumball? (21/67) (66/88) (67/88) (67/89)
67/88
A friend offers to grocery shop for a busy mom. The mom quickly scrawls a list of 30 items. If the friend finds that each item comes in 6 different styles, how many different ways could the friend fill the shopping list? (30!/24!) (30!/6!24!) (6³⁰) (30⁶)
6³⁰
Six cards were randomly pulled from a deck of cards. The values of five of the cards were 4, 6, 9, 3, and 1. The mean of the six cards is 5. What is the value of the sixth card? (8) (6) (5) (7)
7
The data table shown describes how students get to school each morning at Memorial Middle School. If a student is drawn at random from the walkers and bus riders, what is the probability they are a walker? Transportation Bus Carpool Walk Bike Number of Students 148 156 28 44 (7/37) (7/44) (7/11) (7/39)
7/44
In a package of assorted chocolates, there are milk chocolate, dark chocolate, and white chocolate. The probability of selecting one milk chocolate is 1/6. If there are 12 milk chocolates in the package, how many total chocolates are in the package? (48) (72) (18) (60)
72
In a survey, 100 college students were asked how many hours (t) they studied for their finals. The results are shown in the table. If a student is chosen at random from those surveyed, what is the probability that they studied five hours or more? Time Studied (hours) Number of Students t < 3 10 3 ≤ t < 5 13 5 ≤ t< 10 40 t ≥ 10 37 (23/100) (90/100) (77/100) (40/100)
77/100
Mary has an art box with 24 crayons, 16 markers, 13 colored pencils, and 9 gel pens. If she randomly chooses one drawing utensil, what is the probability it is a marker? (12/31) (13/62) (9/62) (8/31)
8/31
The scores on a science quiz in Mrs. Kelly's class were 56, 72, 81, 95, 84, 77, and 95. What was the median of the scores? (39) (81) (80) (95)
81
The table shows results from a survey in which people were asked how many apps (a) they have on their cell phones. If 125 people were surveyed, what is the probability that a person selected at random will have at least 24 apps but less than 48 apps on their phone? Number of Apps Number of People a < 12 9 12 ≤ a < 24 14 24 ≤ a < 36 50 36 ≤ a < 48 42 a ≥ 48 10 (102/125) (2/5) (92/125) (106/125)
92/125
What is the mode of the following data set? 98, 93, 64, 88, 91, 102, 93, 76, 99, 93, 87 (93) (38) (89) (64)
93
A pizza shop offers a choice of 16 different toppings, 3 types of crust, and 2 different cheese options. How many pizza combinations are available at the shop? (21) (48) (96) (72)
96
Student groups are given a six-sided die, with each side labeled a number 1 through 6. Each student group rolls the die 75 times and records the number that is rolled. If there are 8 groups of students participating in this activity, which of the following is most likely the total number of times a 4 was rolled? (13) (154) (98) (75)
98
The following is a list of test scores from the most recent Biology test in Ms. White's class. Which of the following is most clearly evident in the set of data? 52 58 65 72 73 73 74 78 81 86 90 94 (a weighted average) (an outlier) (a cluster) (a gap)
A cluster
Which of the following is indicated by a residual plot in which the data are randomly scattered about the x-axis? (The data are uncorrelated.) (The correlation coefficient is very small.) (A linear model best represents the data.) (A quadratic model best represents the data.)
A linear model best represents the data.
A school cafeteria offers 5 different meals and serves each meal on a set day of the week. A teacher takes a survey among her students of which of the 5 meals is their favorite. Which of the following should the teacher use to display the results of the survey? (a line graph) (a histogram) (a pie chart) (a table with the values)
A pie chart
While at the vet's office, Susanna saw a chart of the weight ranges of golden retrievers. She determined that her own retriever was in the 70th percentile of the weights of the dogs on the chart. Which of the following is true? (About 30% of golden retrievers weigh as much as or more than Susanna's dog.) (If the average weight of a golden retriever is 65 pounds, Susanna's dog will weigh (0.70)(65) = 45.5 pounds.) (Susanna's dog weighs 70 pounds.) (Of a sample of 70 dogs, Susanna's will weigh the most.)
About 30% of golden retrievers weigh as much as or more than Susanna's dog.
Michelle is assigned homework to flip a coin 10 times, then 100 times, then 1000 times. She decides to use her computer to generate a 1 for heads or a 2 for tails. She has the following results: Number Of Trials Number of Heads (1s) Number of Tails (2s) 10 7 3 100 45 55 1000 507 493 What can be said about the results of her simulation? (The probability of flipping heads is greater than tails.) (The probability of flipping tails is greater than heads.) (As she performed more trials, the experimental probability became closer to the theoretical probability.) (As she performed more trials, the experimental probability became further from the theoretical probability.)
As she performed more trials, the experimental probability became closer to the theoretical probability.
A student obtained the following results in an online computer simulation: Total Throws Heads Tails 500 253 247 By how much do the experimental results for heads differ from the theoretical results for heads? The theoretical results predict half (250) of the outcomes will be heads and half will be tails. ((253 + 247)/500) ((253 - 250)/500) (253/500) ((250 - 3)/500)
(253 - 250)/500
Five cards are randomly chosen without replacement from an ordinary deck of 26 black and 26 red cards. What expression shows the probability that all five cards are red? ((1/52) (1/51) (1/50) (1/49) (1/48)) ((26/52) (26/52) (26/52) (26/52) (26/52)) ((1/26) (1/25) (1/24) (1/23) (1/22)) ((26/52) (25/51) (24/50) (23/49) (22/48))
(26/52) (25/51) (24/50) (23/49) (22/48)
A student tosses a six-sided die, with each side numbered 1 through 6, and flips a coin. What is the probability that the die will land on the face numbered 1 and the coin will land showing tails? (1/12) (1/4) (1/6) (1/3)
1/12
A two-sided coin is labeled heads and tails and a 6-sided die is labeled with numbers one through six. What is the probability of landing the coin on heads and the die on the number 5? (1/2) (1/6) (1/12) (2/3)
1/12
Value of Die 1 2 3 4 5 6 1 2 3 4 5 6 7 2 3 4 5 6 7 8 3 4 5 6 7 8 9 4 5 6 7 8 9 10 5 6 7 8 9 10 11 6 7 8 9 10 11 12 John creates a probability model for rolling two six-sided dice as shown above. The value of each die is on the outside, the sum of the two is on the inside. What is the probability of rolling two dice and having a sum of 4? (1/12) (1/18) (1/9) (1/36)
1/12
A pizzeria offers 3 types of crust (thin, thick, stuffed), 5 varieties of cheese (fresh mozzarella, shredded mozzarella, cheddar, provolone, parmesan), and 8 toppings (pepperoni, mushrooms, onions, bell peppers, olives, sausage, bacon, chicken). If each selection holds an equal likelihood, what is the probability that a customer orders a pizza with thin crust, shredded mozzarella, and chicken? (1/6) (79/120) (4/25) (1/120)
1/120
Rae Anne has 3 children. The first is a boy, the second is a boy, and the third is a boy. What is the probability that her fourth child is also a boy? (1/16) (1/2) (1) (1/4)
1/2
A wardrobe contains three different color dresses (black, red, white), two different necklaces (pearls, diamonds), and four different pairs of shoes (pumps, boots, flats, sandals). If each selection holds an equal likelihood, what is the probability that an outfit will be created from the red dress, diamond necklace, and flats? (9/100) (1/9) (13/12) (1/24)
1/24
Mrs. Harris writes all the numbers from 4 to 24 on slips of paper and places them in a hat. She then asks a student to pick a number from the hat. What is the probability that the number chosen by the student will be a prime number? (3/10) (9/20) (1/24) (1/3)
1/3
A sensory bag contains 4 coins (pennies, nickels, dimes, quarters), 6 colored marbles (red, orange, yellow, green, purple, blue), and 2 colored, 6-sided dice (white, black). If each selection holds an equal likelihood, what is the probability that a child reaches into the bag and selects 1 quarter, 1 purple marble, and the white die? (1/12) (1/48) (3/25) (11/12)
1/48
A box contains 18 red marbles, 12 blue marbles, 17 green marbles, and 13 yellow marbles. What is the probability of randomly picking a blue marble from the box? (3/10) (1/5) (13/60) (17/60)
1/5
Mike's dad has a container with 23 quarters, 12 dimes, 7 nickels, and 18 pennies. He tells Mike to pick one coin at random from the container to keep. What is the probability the coin he picks is a dime? (3/10) (1/12) (4/5) (1/5)
1/5
A game has a player throw 3 standard dice at the same time and repeat the throw of all three dice 2 more times. What is the probability of getting 3 sixes for exactly one of the throws? (1/216) (1/72) (1/2) (1/6)
1/72
A study conducted on 100 mice showed that 54 of mice enjoy eating watermelon. The researchers report the results with 95% confidence. What is the margin of error in this study? (100) (10%) (95%) (20%)
10%
Students scored the following grades on a quiz: 90, 78, 88, 68, 78, 100, 100, 92, 70, 90, 78 One student was absent and will make up the quiz. Which of the following scores would change the mode of the data, but not the range? (68) (78) (100) (92)
100
Use the table below to answer the question that follows. Jan. Feb. Mar. Apr. May June July Aug. Sept. Oct. Nov. Dec. 10 3 8 23 10 8 7 7 9 13 14 20 The table above shows the total precipitation each month. What is the average amount of precipitation in a month? (20) (10) (11) (7)
11
A 6-sided die is rolled 100 times with the results shown in the table. Outcome 1 2 3 4 5 6 Frequency 20 18 22 20 16 4 What is the experimental probability of rolling a 3? (11/50) (3/22) (20/50) (3/4)
11/50
Only a handful of birdseed is left in a birdfeeder. Each time a bird lands on the feeder, one seed randomly falls from the feeder. If the feeder has only 40 sunflower seeds, 65 millet seeds, 60 rye seeds, and 35 corn seeds left, what is the probability that a millet seed will fall next? (13/40) (7/40) (3/10) (1/5)
13/40
The table below shows the results of a survey given to 50 teachers about how many years they have been teaching. The results are in the table below. Number of Years in Teaching t ≤ 5 5 < t ≤ 10 10 < t ≤ 15 15 < t ≤ 20 t < 20 Number of People 12 16 9 7 6 If a teacher from those surveyed was randomly selected, what is the probability they have been teaching more than 15 years? (9/50) (3/25) (13/50) (7/50)
13/50
Zuri has scored 16, 22, 18, 10, and 22 points in her first 5 basketball games. How many points does she need to score in her next game so that her average points per game is 17? (2) (8) (14) (20)
14
In a container of smooth rocks, 32 are quartz, 29 are feldspar, 24 are turquoise and 65 are obsidian. What is the probability of randomly grabbing a quartz rock from the box? (29/150) (4/25) (13/30) (16/75)
16/75
The list shows eleven scores from a recent math quiz. The range of the eleven scores is 10, and the interquartile range is 7. Which of the following could be the value of x? 21, 25, 19, 18, 19, 15, 25, 16, 23, 16, x (14) (26) (17) (24)
17
Joe works at the mailroom of a big company. A stack of unsorted mail needs to be delivered as follows: 46 pieces to the 1st floor, 16 pieces to the 2nd floor, 40 pieces to the 3rd floor, and 18 pieces to the 4th floor. What is the probability that the envelope on the top of the stack will be for someone on the 4th floor? (3/20) (1/3) (2/15) (23/60)
3/20
A numerical spinner is spun 75 times. The results are shown in the table. Frequencies of a Numerical Spinner 1 12 2 3 3 14 4 10 5 15 6 8 7 13 Which is the experimental probability of rolling a 2? (2/7) (1/7) (3/75) (1/75)
3/75
There are strawberry, lemon, orange, grape, and watermelon candies in a container. The probability of selecting one strawberry candy is 1/4. If there are 8 strawberry candies in the bag, how many total candies are in the bag? (12) (24) (40) (32)
32
The figure shows the frequency distribution of M&Ms from a standard size bag of plain M&Ms. Color Brown Red Yellow Green Blue Orange Frequency 16 19 6 6 3 5 What fraction of the M&Ms were NOT brown? (39/55) (16/55) (1/11) (4/11)
39/55
A class of students is learning about sampling methods and are told to ask people whether they prefer going for a walk or napping. Students bring back the results after sampling parents, siblings, and friends. Which type of sampling method best describes how the students obtained their results? (cluster sampling) (convenience sampling) (stratified sampling) (systematic sampling)
Convenience sampling
A principal records the number of boys and girls from each class in the school. Which chart would be most useful to display this data? (scatter plot) (double bar chart) (pie chart) (bar chart)
Double bar chart
Which of the following best describes the relationship described by bivariate data? (The relationship of two variables with a third.) (The relationship between two variables.) (A relationship that is always quadratic.) (A relationship that is always linear.)
The relationship between two variables.
April wants to make a graph to display the amount of time it takes 25 employees to get to work in the morning. Which graph would best display this data? (pie chart) (line graph) (bar graph) (stem and leaf plot)
Stem and leaf plot
Using the data provided, describe the correlation for this set of data. x 2 2 10 10 20 35 45 50 50 57 63 64 y 32 37 22 29 25 18 11 8 16 5 2 10 (weak positive correlation) (weak negative correlation) (strong negative correlation) (strong positive correlation)
Strong negative correlation
The physical education teacher conducts a poll about the games students would like to play during field days. The teacher lists eight games and records how many students respond "yes" or "no" to each game. Which graph will best represent all the data on the same plot? (scatter plot) (pie chart) (line graph) (bar graph)
Bar graph
Which type of graph or chart would be best used to show comparisons between the volume of water drunk by athletes competing in two different sports? (pie chart) (circle graph) (line graph) (bar graph)
Bar graph
Let T(t) represent the temperature in Kansas City, measured in Celsius, and let t represent hours after midnight. The table below shows various data points throughout a given day. t 1 6 9 13 15 T(t) 21 19 25 31 34 When did the temperature increase the fastest? (Between 9 am and 1 pm.) (Between 6 am and 9 am.) (Between 1 pm and 3 pm.) (Between 1 am and 6 am.)
Between 6 am and 9 am.
Mrs. Smith wants to analyze the test scores of her 6 classes. What is the most appropriate way to represent her test score data so she can compare her different classes? (line graph) (pie chart) (scatterplot) (box and whisker plot)
Box and whisker plot
A teacher asks the following question in a class discussion: A crayon box contains 8 different colored crayons (red, blue, yellow, green, purple, pink, black, and white). If one crayon is selected from the box, what is the likelihood of picking either a red crayon or a green crayon? What probability concept should the teacher highlight in his instruction? (understanding conditional probability) (calculating probabilities for mutually exclusive events) (connecting the likelihood of an event with its probability) (calculating probabilities for independent events)
Calculating probabilities for mutually exclusive events
A teacher presents the following question in a class discussion: Jeremy rolls a fair 6-sided die two times. How does rolling a 3 on the first roll affect the likelihood of rolling a 3 on the second roll? A. increases the likelihood B. decreases the likelihood C. does not affect the likelihood What probability concept should the teacher address in her instruction? (comparing theoretical and experimental probabilities) (calculating the probability of dependent events) (understanding probability for a simple event) (calculating the probability of independent events)
Calculating the probability of independent events
After completing a unit on graphing data, students are given the following table and asked what type of graph is most appropriate for displaying this data. What should they use? Preferred Flavor of Ice Cream None Chocolate Vanilla Mint Chocolate Chip Other Number of Students 6 184 109 88 152 (histogram) (double bar graph) (circle graph) (line graph)
Circle graph
For the list shown, let x represent the mean, let m represent the median, and let D represent the mode. Which of the following is true? 7, 4, 7, 3, 11, 6, 5, 4, 7 (x = m = D) (x = m and m < D) (x < m and m < D) (x < m and m = D)
x = m and m < D
Mrs. Rogers gave a test to her 6th-grade math class. The scores on the test were as follows: 65 72 79 84 84 86 87 88 89 91 92 If the mean is determined to the nearest whole number, by how much do the mean and median differ? (2) (3) (18) (1)
3
What is the median of the given data set? -3, 23, 49, -13, -3, 101, -64, 12, 9, -3, 49, -38 (6) (3) (-3) (9.91)
3
What is the probability that the sum of the two dice is between 2 and 12, inclusive? (1/4) (1/2) (1/6) (1)
1
Sally and Susie place 30 white marbles and 9 black marbles in a sack. They play a game where the object of the game is to accumulate more white marbles than the other person. On each turn, a person can take as many marbles as they would like, but if they grab a black marble then they must return all their marbles taken on that turn. On Sally's turn, she picks up 3 white marbles and no black marbles. If Susie grabs one more marble, what is the probability that she will grab a black marble? (Note: Sally has not yet returned her 3 white marbles to the sack.) (Not enough information) (1 in 4) (9 in 39) (1 in 3)
1 in 4
During one year, a certain school district reported a total enrollment of 85,679 students. The district math scores of the students were modeled with a normal distribution. The mean raw score was 56 with a standard deviation of 10.4. Based on this distribution, which of the following is the best estimate of the number of students with a raw score of 35.2 or lower on the test during that year? (13,710) (4,280) (27,416) (2,140)
2,140
A gardener collects pea seeds from his garden to plant the following year. As he opens the pods to get to the seeds, he finds 16 pods have large seeds, 9 pods have medium seeds, 20 pods have small seeds, and 5 pods have cracked seeds. Every pod has 3 seeds inside. If he chose a seed at random, what is the probability that it is a small seed? (2/5) (9/50) (8/25) (1/10)
2/5
In a survey, 20 people were asked how many minutes a day they spend exercising. The results of the survey are in the table below: Minutes of Exercise Each day m=0 0 < h ≤ 30 30 < h ≤ 60 60 < h ≤ 90 m > 90 Number of People 6 4 5 3 2 If a person is randomly selected from those surveyed, what is the probability the person exercised more than 30 minutes but no more than 90 minutes a day? (1/4) (2/5) (3/5) (3/20)
2/5
Rohan rolls a 10 sided dice with sides numbered from 1 to 10. What is the probability that he rolls a prime number? (2/5) (1/2) (3/10) (1/5)
2/5
Jon is in the eighth grade and takes a standardized math test. Use his test scores, shown, to answer the following question. Raw Score Percentile Stanine Grade Equivalent 64 79 6 7.8 Which of the following can be conducted from Jon's test score? (Jon should be held back a year in math.) (Jon's stanine score is below average.) (Jon answered 36% of the questions incorrectly.) (21% of the test takers scored as well as or better than Jon.)
21% of the test takers scored as well as or better than Jon.
Seven students have entered projects in the regional science fair. If only 1 first-place, 1 second-place, and 1 third-place ribbon are awarded, and no project can win more than one ribbon, how many different combinations are possible for winners of the first-, second-, and third-place ribbons? (18) (210) (343) (21)
210
Four friends are taking a cross country road trip in a car that has 4 seats. How many different seating options do they have? (256) (24) (16) (4)
24
Julie attends a school that requires uniforms. She has 3 uniform bottoms, 4 uniform shirts, and 2 pairs of school-approved shoes. How many days can Julie attend school without repeating an outfit? (36) (24) (12) (9)
24
Whitney is packing for a week-long trip. She fills her suitcase with 5 shirts, 3 pairs of pants, 2 skirts, and 2 dresses. If an outfit consists of 1 shirt and 1 bottom (pant or skirt) or 1 dress, how many different outfits can Whitney create? (12) (7) (32) (27)
27
In a survey, 40 high school seniors were asked how many hours they work a part-time job. The survey results are in the table below: Number of Hours Worked per Week 0 0 ≤ h ≤ 5 5 < h ≤ 15 15 < h ≤ 20 h > 20 Number of Seniors 3 6 18 9 4 If a person from the survey is randomly selected, what is the probability that the person selected works 15 hours or less per week? (\frac{3}{5}) (9/20) (27/40) (13/40)
27/40
A survey polled people between the ages of 18 and 30 on the number of online purchases they made in the last month. Two hundred people were surveyed, and their results are shown in the table. What is the probability that a person selected at random from those surveyed will have made at least seven purchases online but no more than fifteen? Number of Online Purchases Number of People 0 ≤ x < 7 17 7 ≤ x < 15 58 15 ≤ x < 30 102 x ≥ 30 23 (23/200) (29/100) (17/200) (4/5)
29/100
A teacher provides students a table on the historical populations of the United States during the 19th century, divided by decade. Which of the following would be the most appropriate display for the information? (a histogram) (a line graph) (a Venn diagram) (a pie chart)
A histogram
A teacher surveys her fifth-grade class about their favorite ice cream flavor. Out of 20 students, 10 prefer chocolate, 5 prefer vanilla, and 5 prefer cookies and cream. If the teacher asks students to focus on the proportion of students who prefer each type of ice cream, which of the following is the best way for students to display the data? (A bar graph with the ice cream flavors listed along the horizontal axis and the number of students on the vertical axis.) (A box plot that displays the data's five-number summary.) (A pie chart with each ice cream flavor representing a slice of the chart proportional to the number of students who selected it.) (A line graph with the flavors of ice cream listed along the horizontal axis and the number of students on the vertical axis.)
A pie chart with each ice cream flavor representing a slice of the chart proportional to the number of students who selected it.
A couple has one baby. Which of the following scenarios could be used to simulate the probability that the baby's biological sex is male? (Draw a card from a deck of playing cards 100 times. The probability the baby is a boy can be determined by the number of jacks drawn divided by the number of trials.) (Roll a fair die 100 times. The probability the baby is a male can be determined by the number of 3s rolled divided by the number of trials.) (Spin a fair spinner of three colors, red, yellow, and blue, 100 times. The probability the baby is a boy can be determined by the number of times the spinner lands on red divided by the number of trials.) (Flip a fair coin 100 times. The probability the baby is a male can be determined by the number of tails divided by the number of trials.)
Flip a fair coin 100 times. The probability the baby is a male can be determined by the number of tails divided by the number of trials.
A mathematics teacher determines that the median score for the most recent test was 80 percent. Which of the following is the most accurate interpretation of the result? (The highest score on the test was 80 percent.) (The average score on the test is 80 percent.) (The most common score on the test is 80 percent.) (Half the students scored an 80 percent or below.)
Half the students scored an 80 percent or below.
Which of the following is a non-statistical question? (How tall are students at Central High School?) (How tall is the Empire State Building?) (What is the typical length of a giraffe's neck?) (How many acorns does an average squirrel eat in a day?)
How tall is the Empire State Building?
Johnny wants to make a graph to display the amount of money the military spent over a period of time. Which graph would best display this data? (stem and leaf plot) (dot plot) (line graph) (double bar graph)
Line graph
Cecelia wants to go to law school because she has heard that lawyers make $100,000 after graduating from law school. Her friend says to look at the data behind that number. If each row in the data below represents an equal number of lawyers, on which misleading statistic is Cecelia basing her decision? Type of Lawyer Public Interest Non-profit lawyer Prosecutor Private Practice In-house lawyer Corporate Lawyer Corporate Lawyer Corporate Lawyer Salary $45,000 $50,000 $50,000 $55,000 $70,000 $170,000 $180,000 $180,000 (Median) (Mode) (Mean) (Range)
Mean
Cindy's students earned the following scores on their exam: 79, 80, 81, 95, 98, 100. In order to find the standard deviation of the scores, what should Cindy calculate first? (outliers) (median) (mean) (range)
Mean
The test scores of 10 students are listed below. An 11th student makes up the test and earns a 77. Which of the following will definitely increase? 56, 61, 68, 72, 72, 81, 82, 92, 93, 95 (mean) (median) (mode) (range)
Median
John wants to make a boxplot of a large data set. What should he do first? (Determine the interquartile range.) (Find the maximum value.) (Find the median value.) (Order the numbers in his data set from lowest to highest.)
Order the numbers in his data set from lowest to highest.
A group of students is looking at a circle graph. Each sector is labeled with a number followed by a symbol. Which of the following are the students most likely studying? (pictographs) (Venn diagrams) (percentages) (addition)
Percentages
Edward wants to make a plot that depicts his classmate's favorite types of juice. Which of the following plots would be best suited for that? (Pie Chart) (Scatterplot) (Stem-and-Leaf plot) (Histogram)
Pie Chart
What is the range and mode of the data set below? 10, 8, 5, 3, 7, 4, 5, 9, 2, 3, 7, 3, 8, 6, 4, 1, 2, 1, 10, 3 (range: 10; mode: None) (range: 9; mode: 3 and 4) (range: 10; mode: 3 and 4) (range: 9; mode: 3)
Range: 9; mode: 3
In the pair of dice that Tim rolled 25 times, he recorded a sum of 4 on three of those rolls. What is the difference between the theoretical probability and the experimental probability of rolling a pair of dice and getting a sum of 4 based on Tim's experiment? (The experimental probability and the theoretical probability are the same.) (The experimental probability is about 4% greater than the theoretical probability.) (The experimental probability is 3/25, but we don't know the theoretical probability for Tim's simulation.) (The theoretical probability is about 8% less than the experimental probability.)
The experimental probability is about 4% greater than the theoretical probability.
Mrs. Kellie teaches her students about the theoretical probability of rolling a 6-sided die and it landing on any one side. Then her students break into groups and take turns rolling a die to collect experimental data. After 100 trials, one group has the following results: Number on Die Frequency 1 16 2 12 3 18 4 17 5 17 6 20 Based on the data, which of the following student conclusions is correct? (The experimental probability would be less accurate if the students increased the number of trials.) (The theoretical probability of rolling a 2, 16.7%, is equal to the experimental probability obtained.) (The experimental probability of rolling a 6, 20%, is higher than expected based on the theoretical probability.) (The theoretical probability of rolling a 5 is significantly less than the experimental probability obtained.)
The experimental probability of rolling a 6, 20%, is higher than expected based on the theoretical probability.
List A (not shown) consists of integers that are greater than 60, and may appear more than once in the list. List B consists of the integers in list A and 3 additional integers that are each less than 60. Which of the following statements about the centers or spreads of lists A and B must be true? (The mean in list B is less than the mean in list A.) (The mode in list B is less than the mode in list A) (The median in list B is less than the median in list B.) (The range in list B is less than the range in list A.)
The mean in list B is less than the mean in list A.
A statistical study on blood pressure was conducted. Each participant was assigned either to walk for 30 minutes three times a week or to sit quietly and read a book for 30 minutes three times a week. The participants were chosen based on their unique ID number and a random number generator. The participants' blood pressure was tracked over 6 months and changes were compared for the two groups. Which of the following is true? (This is an observational study because the blood pressure of the two groups was measured at the beginning and end of the study.) (This is a randomized experiment because the participants were randomly assigned to two different experimental groups.) (This is a randomized experiment because the participants chose the group they wanted to be in.) (This is an observational study because the two groups were compared at the end of the study.)
This is a randomized experiment because the participants were randomly assigned to two different experimental groups.
A teacher is designing a lesson on probability for her fifth-grade students. She poses the following question: There are 15 marbles in a bag: 5 red, 5 white, and 5 blue. Suppose I select one marble and don't put it back. Then, I pick a second marble. How does this affect the likelihood that both marbles are white? A. increases the likelihood B. decreases the likelihood C. does not affect the likelihood Which of the following probability concepts should the teacher address in the discussion? (calculating probabilities for independent events) (understanding conditional probability) (connecting the likelihood of an event with probability) (calculating probabilities for mutually exclusive events)
Understanding conditional probability
A teacher presents the following question to her fifth-grade class: There are 10 marbles in a bag, 5 red and 5 blue. If one red marble is replaced with a blue marble, how is the likelihood of selecting a red marble affected? A. increases the likelihood B. decreases the likelihood C. does not affect the likelihood Which of the following probability concepts should the teacher address in the discussion? (calculating probabilities for mutually exclusive events) (applying reasoning about conditional probability) (understanding how probability relates to the likelihood of an event occurring) (determining probabilities for independent events)
Understanding how probability relates to the likelihood of an event occurring
