Name: ____________________________________ Assessment Review: Statistics and Probability + Circles 1 Cassie 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 Cassie will roll a 1 or a 2 about 50 times. B Cassie will roll a 1 or a 2 exactly 50 times. C Cassie will roll an even number about 150 times. D Cassie will roll an even number exactly 150 times. The spinner has 8 equal sections labeled with letters. 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 B? 2 A 3 Date: ____________ PreAlgebra 50 B 100 C 150 D 250 A box contains congruent colored cubes. 6 of the cubes are blue 24 9 of the cubes are green 24 7 of the cubes are red 24 2 of the cubes are yellow 24 Dina will choose a cube from the box without looking. Which color cube is Dina most likely to choose? A blue B green C red D yellow 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 Cynthia conducted an experiment with a spinner that contained 4 sectors: F, G, H, and J. She spun the arrow 40 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 H? A 1 4 B 1 3 C 3 8 D 3 5 Assessment Review 11-05 6 The box plot below shows the scores on last week’s test for 10 randomly selected students from each of Mr. Brenner’s two mathematics classes. 9 Which statement about the performance of the students in the two classes is best supported by the data from these samples? A The two classes performed equally well because the range B Which conclusion is best supported by the data? of each class is the same. A The range of the Lincoln School data was 40 greater than the range of the Adams School data. The two classes performed equally well because the greatest score in each class is the same. B The median numbers of cans collected at both schools was approximately the same. C Adams School had the least and the greatest number of cans recycled per week. D Lincoln School recycled more can per week than Adams School for more than half of the week in the 20-week period. A random sample of the numbers of miles that two people drove each day last month is shown below. C The students in Class Y generally performed better than the students in Class X because most students in Class Y had a score greater than 70. D The students in Class Y generally performed better than the students in Class X because the median of Class Y is greater than that of Class X. 7 Two schools used can recycling as a school project last year. They both recorded the number of cans recycled per week for 20 weeks. The data is displayed in the box-and-whisker plots below. The junior high school principal designed a survey to find out which new foods students would buy in the cafeteria. Which method of sampling will help the principal make a valid decision about which foods to add to the lunch menu? 10 Martina: 32, 41, 36, 54, 32, 12, 24 William: 26, 24, 10, 18, 40, 21, 15 A Give the survey to every student in the eighth grade. B Give the survey to every student taking a science class after lunch. C Give the survey to every student who walks or rides a bicycle to school. A William has the greater median and mean, so he generally drove farther last month than Martina. D Give the survey to every third student entering the building in the morning. B Martina has the greater median and mean, so she generally drove farther last month than William. C William has the greater median and Martina has the greater mean, so William generally drove farther last month than Martina. D Martina has the greater median and William has the greater mean, so Martina generally drove farther last month than William. 8 The 90 members of a service club had the opportunity to vote for club officers on Tuesday or Wednesday. 3 of the members voted on Tuesday 5 1 of the members who did not vote on 4 Tuesday voted on Wednesday How many of the club members did not vote at all? 36 27 C 22 9 A B D Which of these statements is best supported by these data? 11 12 Ashley completed reading a history assignment in 4 days. On Monday, she read 16 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. Greg read the same history assignment, but he read an equal number of pages per day from Monday through Friday. How many pages did Greg read per day for the 5 days? 12.8 20 26 32.5 A B C D Mark has a collection of 1,200 music CDs. He considers 1 of his 6 collection rock music. Of the rock music CDs, 20% are by solo artists. Of the solo artists, 2 are by female artists. Exactly how many of 5 Mark’s CDs are by female solo rock artists? A 4 B 16 C 740 13 14 16 17 18 19 20 920 Victoria has 6 sweaters, 4 pairs of jeans, and 3 pairs of shoes. How many different outfits can Victoria make using one sweater, one pair of jeans, and one pair of shoes? A 13 B 72 C 36 D 144 If the radius of a circle is 8 cm, what is the diameter? A 15 D 16 cm B 4 cm C 16 cm D 4 cm A circle has a circumference that measures 18 inches. What is the radius, in inches, of the circle? A 6 B 18 C 9 D 36 A circle has a radius of 4.2 feet. What is the circumference, in feet, of the circle? A 4.2 ft B 8.4 ft C 17.64 ft D 35.28 ft What is the area, in square centimeters, of a circle with a diameter of 10 centimeters? A 10 sq. B 20 sq. C 25 sq. D 100 cm cm cm sq. cm The area of a circle is 36 square centimeters. What is the diameter, in centimeters of the circle? A 36 cm B 6 cm C 12 cm D 72 cm The circumference of a circle is 9 feet. What is the area in square feet, of the circle? B 4.5 sq. C 20.25 sq. D 81 sq. A 6 sq. ft ft ft ft The circumference of a circle is 25.12 centimeters. What is the best estimate for the length of the radius of the circle? A 3 cm B 8 cm C 4 cm D 16 cm 21 Here are grades from one student in Ms. C’s 6th period class. 23 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? 22 Part B: Find the mean absolute deviation for the 7th grade data set. Round to the nearest hundredth. Show your work. 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. 7th grade MAD __________ Part B Write a sentence or two comparing the variations, based on the mean absolute deviations found.
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