Statistics, Data Analysis, and Probability

Transcription

1 9. onald priced six personal ompact isc () players. The prices are shown below.. The Smithburg town library wanted to see what types of books were borrowed most often. $., $., $., $9., $., $. Home epair 7% Mysteries % What is the median price? $. $. $7. $. M96 Other % Science Fiction omance % % rt %. ico s first three test scores in biology were 6, 9, and 7. What was his mean score? The box below shows the number of kilowatt-hours of electricity used last month at each of the houses on Harris Street. M7 6, 7, 7, 9, 6, 6, 9, 9, hildren s 6% ccording to the circle graph shown above more hildren s books were borrowed than omance and Science Fiction combined. more than half of the books borrowed were hildren s, Mysteries, and rt combined. more Mysteries were borrowed than rt and Science Fiction combined. more than half of the books borrowed were omance, Mysteries, and Science Fiction combined. M What is the mode of these data? M

2 . Three-fourths of the 6 members of a. The number of games won over club attended a meeting. Ten of those four years for three teams is shown on attending the meeting were female. the graph below. Which one of the following questions can be answered with the information Games Won given? How many males are in the club? How many females are in the club? How many male members of the club attended the meeting? How many female members of the club did not attend the meeting? M6 of Games W o n Number Year Year Year Year Team Team Team Which statement is true based on this information? Team always came in second. Team had the best average overall. Team always won more games than Team. Team won more games each year than in the previous year. M

3 . The table below shows the number of real estate transactions by type for a city. eal Estate Transactions 6. student asked children to choose between two colors. The results of the survey are shown in the table below. olor Survey Type of Property Sold Number of Sales olor Number Single-Family esidence 7 Pink ondo/townhouse 7 Purple 9 Mobile Home 6 Multi-Family ommercial Land Total ased on the information in the table, which statement is true? More than half of the sales were single-family residences. More sales occurred for land than in all other areas combined. The number of condo/townhouse sales was more than % of the total sales. The number of mobile home and multi-family sales combined was twice the number of commercial sales. ased on the data in the table, the student claimed that purple is the favorite color of most of the children. Which reason EST describes why this is an invalid claim? Not all of the children chose purple. More of the children chose pink than purple. The total number of votes did not equal. The children were only given a choice of two colors. M79 M

4 7. To get home from work, urtis must get on one of the three highways that leave the city. He then has a choice of four different roads that lead to his house. In the diagram below, each letter represents a highway, and each number represents a road. oad Highway If urtis randomly chooses a route to travel home, what is the probability that he will travel Highway and oad? 6. The table below shows all of the possible outcomes when flipping three fair coins at the same time. First Second Third oin oin oin H H H H H T H T H H T T T H H T H T T T H T T T Which of the following statements must be true? The probability that exactly two coins have the same outcome is. The probability of getting exactly one tail is higher than getting exactly two tails. The probability of getting at least one head is higher than the probability of getting at least one tail. The probability that all of the coins will land on heads is the same as the probability that all of the coins will land on tails. M M

5 9. armen wants to buy a new car. Her choices are a -door or a -door, a convertible top or a hard top, and red, white, or black. Which of the following tree diagrams represents all the possible choices for the car? W H W H H W W W W H H W W W W M6

6 . restaurant is advertising -item combination specials that must include a main dish, a vegetable, and a drink. Lunch Specials Main ish Vegetable rink hicken roccoli Water E LUE YELLOW GEEN eef arrots Soft drink Peas orn Milk How many -item combinations include a soft drink and corn? M7. bucket contains bottles of apple juice, bottles of orange juice, 6 bottles of tomato juice, and bottles of water. If Kira randomly selects a bottle, what is the probability that she will select a drink other than water? 9 9. The spinner shown above is fair. What is the probability that the spinner will NOT stop on red if you spin it one time? M9. Fran has 6 s in a box: 6 country, 6 rock, dance, and classical. If she takes out one without looking, what is the probability that she will pick a rock or country? % % 7% % M M79 6

7 . These cards are placed face down and shuffled.. Leander has blue, black, and red ties on his rack. If he randomly selects a tie, what is the probability that he will select a tie that is NOT red? M If eatrice turns over only one card, what is the probability she will get a card with a number less than? M 6. Mr. Gulati is holding five cards numbered through. He has asked five students to each randomly pick a card to see who goes first in a game. Whoever picks the card numbered goes first. Juanita picks first, gets the card numbered, and keeps the card. What is the probability that Yoko will get the card numbered if she picks second? M 7

8 7. bag contained four green balls, three red balls, and two purple balls. Jason removed one purple ball from the bag and did NOT put the ball back in the bag. He then randomly removed another ball from the bag. What is the probability that the second ball Jason removed was purple? M97. nna has the letter tiles below in a bag. % % F % % % 9. The circle graph shown above represents the distribution of the grades of students in a certain geometry class. How many students received s or s? 6 M S T T I S T I S She reached in the bag and pulled out an S. She then put the tile back in the bag. If nna randomly selects a tile from the bag, what is the probability she will select an S again? 9 M

9 7 Speed of Four unners 6. The graph below represents the closing in a -Meter ash price of a share of a certain stock for each day of a week. Speed (meters per second) 6 Value in ollars 7 st place nd place rd place unners th place 6. ased on the bar graph shown above, which of the following conclusions is true? Everyone ran faster than 6 meters per second. The best possible rate for the -meter dash is meters per second. The first-place runner was four times as fast as the fourth-place runner. The second-place and third-place runners were closest in time to one another. Monday Tuesday Wednesday Thursday Friday Which day had the greatest increase in the value of this stock over that of the previous day? Tuesday Wednesday Thursday Friday M9 M79 9

10 6. The students at a high school were asked to name their favorite type of art. The table below shows the results of the survey. rt Survey Type of rt Number of Students Painting 7 rawing 79 Sculpture 96 Other Which circle graph EST shows these data? Other Sculpture Sculpture % Other % % % rawing % % Painting Painting % % rawing Sculpture Other Other % % % Sculpture rawing % % % % rawing Painting Painting % M

11 6. The Venn diagram below shows the number of girls on the soccer and track teams at a high school. 6 Soccer Track How many girls are on both the soccer and track teams? 6 9 M6 et (in dollars) ost per Tick 6 6 Ticket Prices to Funland Number of Tickets Purchased 6. The cost of a ticket to Funland varies according to the season. Which of the following conclusions about the number of tickets purchased and the cost per ticket is EST supported by the scatterplot above? The cost per ticket increases as the number of tickets purchased increases. The cost per ticket is unchanged as the number of tickets purchased increases. The cost per ticket decreases as the number of tickets purchased increases. There is no relationship between the cost per ticket and the number of tickets purchased. M

12 6. Which scatterplot shows a negative correlation? Number of ooks Miles riven Number of Students Number of People Price per Person ost of all (cents) Number of People Number of Minutes M6

13 66. The scatterplot below shows the time cheese has been aging and the amount of lactic acid present in the cheese. Lactic cid (parts per thousand) Lactic cid in heese 6 ge of heese (days) Which statement is MOST strongly supported by the scatterplot? The longer cheese ages, the more lactic acid is present. The longer cheese ages, the less lactic acid is present. The amount of lactic acid present remains constant as cheese ages. No relationship exists between the time cheese ages and the amount of lactic acid present. 67. The scatterplot below shows the ages of some children and the distance each child lives from school. istance (miles) 6 6 istance from School ge (years) Which statement EST describes the relationship between age and distance from school? s age increases, the distance from school increases. s age increases, the distance from school decreases. s age increases, the distance from school remains constant. There is no relationship between age and distance from school. M6 M77

14 6. The number of classic books Nanette sells in her bookshop varies according to the time of year, as shown in the scatterplot below. lassic ook Sales Number of lassic ooks Sold J an. Fe b. Mar. p r. May. J un. J ul. u g Month Sep. Oct.. No v ec. ased on the information in the scatterplot, the number of classic books sold decreases consistently from January through ecember. increases consistently from January through ecember. decreases until July and then increases until ecember. increases until July and then decreases until ecember. M969