Name: ____________________________________ Cumulative Review: Statistics and Probability + Circles 1 Vanessa rolls a fair number cube with 6 faces labeled 1 through 6. She rolls the number cube 300 times. Which result is most likely? A Vanessa will roll a 1 or a 2 about 50 times. B Vanessa will roll a 1 or a 2 exactly 50 times. C Vanessa will roll an even number about 150 times. D Vanessa will roll an even number exactly 150 times. The spinner has 8 equal sections labeled with colors. Each section of the spinner is the same size. If the arrow is spun 400 times, how many times would it be expected to land on a section labeled Green? 2 A 3 Date: ____________ PreAlgebra 50 B 100 C 150 D 250 A box contains congruent colored cubes. 4 of the cubes are red 18 7 of the cubes are yellow 18 5 of the cubes are orange 18 2 of the cubes are green 18 Kimberly will choose a cube from the box without looking. Which color cube is Kimberly most likely to choose? A red B yellow C orange D green 4 A storeowner made a list of the number of greeting cards sold last month. The store sold 167 thank-you cards, 285 birthday cards, and 56 blank cards. Based on these data, which number is closest to the probability that the next customer will buy a blank card? A 0.11 B 0.33 C 0.56 D 0.89 Sandra conducted an experiment with a spinner that contained 4 sectors: A, B, C, and D. She spun the arrow 24 times and recorded the frequencies in the table on the left. 5 Based on the data, what is the probability that the next spin will land on B? A 1 4 B 1 3 C 3 8 D 1 12 Cumulative Cumulative Review 11-05 6 Which of the following is not true about the double box plot below? A The median amount of money raised by the eighth graders is $20. B The mean amount of money raised by the seventh graders is $35. C In general, the seventh graders raised more money than eighth graders. D The interquartile range of the seventh grade was greater than the interquartile range of the eighth graders. 7 Which statement is true about the double boxand-whisker plot? A Half of the test scores in your class are between 85 and 100. B 25% of the test scores in your friend’s class are 80 or above. C The medians are the same for both classes. D The test scores in your friend’s class are more spread out than the test scores in your class. Ms. Andrews made the line plots below to 10 compare the quiz scores for her first-period math class and her second-period math class. She gave the same quiz to each class. An owner of a restaurant wants to conduct a survey about possible menu changes. Which of the following sampling methods would produce a valid sample? A Survey every fifth person entering the mall B Survey five of his friends C Survey every fifth person eating at the owner’s restaurant D Survey every fifth person registered at the restaurant’s website 8 9 The 120 members of a school club had the opportunity to vote for club officers on Monday or Tuesday. 4 of the members voted on Monday 5 1 of the members who did not vote on 6 Monday voted on Tuesday How many of the club members did not vote at all? 24 20 C 15 4 A B D QUIZ SCORES What conclusion can Ms. Andrews make about the performance of her first- and second-period classes? A The first-period class had a higher median score than the second-period class. B The second-period class scores had a higher mean than the first-period class scores. C The first-period class scores had a greater range than the second-period class scores. D The second-period class scores had a greater mean absolute deviation than the first-period class scores. 11 12 Rosemary completed reading a book in 4 days. On Monday, she read 8 pages. For each of the next 3 days, the number of pages she read increased by 50% over the number of pages she read on the previous day. Gerard read the same book, but he read an equal number of pages per day from Monday through Friday. How many pages did Gerard read per day for the 5 days? 9.6 10 13 16.25 A B C D Mike has a collection of 2,400 music CDs. He considers 1 of his 6 collection to be country music. Of the country music CDs, 40% are by solo artists. Of the solo artists, 1 are by male artists. Exactly how 5 many of Mike’s CDs are by male solo country artists? A 16 B 32 C 1440 D 13 14 1840 Marsha has 5 T-shirts, 3 pairs of jeans, and 2 jackets. How many different outfits can Marsha make using one T-shirt, one pair of jeans, and one jacket? A 10 B 30 C 15 D 60 An owner of a small store knows that in the last week 54 customers paid with cash, 42 paid with a debit card, and 153 paid with a credit card. Based on the number of customers from last week, which fraction is closest to the probability that the next customer will pay with cash? A B C D 15 If the radius of a circle is 10 cm, what is the diameter? A 20 cm B 5 cm C 20 cm D 16 A circle has a circumference that measures 12 inches. What is the radius, in inches, of the circle? A 6 B 12 C 18 D 24 17 18 19 20 21 5 cm A circle has a radius of 3.6 feet. What is the circumference, in feet, of the circle? A 3.6 ft B 7.2 ft C 12.96 ft D 25.92 ft If the diameter of a circle is 6 inches, what is the area of a circle in terms of ? A 6 sq. B 12 sq. C 9 sq. D 36 sq. in. in. in. in. The area of a circle is 100 square centimeters. What is the diameter, in centimeters of the circle? A 100 cm B 10 cm C 50 cm D 20 cm The circumference of a circle is 6 feet. What is the area in square feet, of the circle? A 12 sq. B 3 sq. ft C 9 sq. ft D 36 sq. ft ft The circumference of a circle is 12.57 centimeters. What is the best estimate for the length of the radius of the circle? A 2 cm B 8 cm C 4 cm D 16 cm 22 Here are grades from one student in Mr. Estrella’s 6th period class. 24 The tables show the amount of money raised by the homerooms for two grade levels at a middle school. 88 87 100 100 92 85 50 Part A Determine if there is an outlier in the set. Show your work. Part A: Find the mean absolute deviation for the 6th grade data set. Round to the nearest hundredth. Show your work. 6th grade MAD __________ Part B Why would using the mean to describe the data set be misleading? 23 On average, 75% of the days in Franklin Square are sunny, with little or no cloud cover. Describe a model that you could use to find the experimental probability of sunny days each day for a week in Franklin Square. Part B: Find the mean absolute deviation for the 7th grade data set. Round to the nearest hundredth. Show your work. 7th grade MAD __________ Part C Write a sentence or two comparing the variations, based on the mean absolute deviations found in Part A and Part B. Which tree diagram shows all of the possible 25 outcomes for tossing a coin and rolling a fair The circumference of a circle is 11 inches. 27 What is the area, in square inches, of the circle? Express your answer in terms of . Show your work. number pyramid that has four sides labeled 1 through 4? A B Answer __________ square inches C 28 The test scores of the students in Mr. Duffy’s class are shown on the line plot below. D 26 Most of the students in Ms. Guzman’s class scored higher than most of the students in Mr. Duffy’s class on the same test. Which line plot could represent the test scores of the students in Ms. Guzman’s class? To select a new school mascot, 20 randomly selected students in each grade were asked to choose between the two finalists: tiger and eagle. The results are shown below. A Which statement is best supported by the results? A The preferred mascot is a tiger. B The preferred mascot is an eagle. C Fifth and sixth grade students at the school preferred an eagle mascot. D Seventh and eighth grade students at the school preferred an eagle mascot. B C D