The difference between a statistic and a parameter is that statistics describe a sample. A parameter describes an entire population.

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1 Grade 7 Mathematics EOG (GSE) Quiz Answer Key Statistics and Probability - (MGSE7.SP. ) Understand Use Of Statistics, (MGSE7.SP.2) Data From A Random Sample, (MGSE7.SP.3 ) Degree Of Visual Overlap, (MGSE7.SP. ) Measures Of Center & Variability, (MGSE7.SP.5 ) Number Between 0 & Expresses Probability, (MGSE7.SP.6 ) Approximate Probability Of A Chance Event, (MGSE7.SP.7a ) Uniform Probability Model, (MGSE7.SP.7b ) Probability Model (which May Not Be Uniform), (MGSE7.SP.8a ) Probability Of A Compound Event, (MGSE7.SP.8b ) Represent Sample Spaces, (MGSE7.SP.8c ) Design & Use Simulation Student Name: Teacher Name: Romelle Loewy Date: Score: ) Which describes a parameter of a population? A) 3% of machinist have a college degree C) 22% of city residents have been to the new museum the average systolic blood pressure of all U.S. men aged % of students at Jacksonville High School have been to a baseball game the average systolic blood pressure of all U.S. men aged 0-59 The difference between a statistic and a parameter is that statistics describe a sample. A parameter describes an entire population. 2) Which describes a statistic of a sample? A) all men who own a dog in the Dallas, Texas C) all members of the Harris County -H Club all daily maximum temperatures in June for major U.S. cities 88% of students at Emory High School have been to a football game 88% of students at Emory High School have been to a football game The difference between a statistic and a parameter is that statistics describe a sample. A parameter describes an entire population. 3) A study conducted an experiment with 22,000 women over 0 years to investigate whether a high-stress job leads to heart problems. The study concluded that all women in high-stress jobs are 70% more likely to have a heart attack than women less stressed out by work. Identify the sample. A) All women. C) All women in high-stress jobs. The 22,000 women in the study. The 70% of women who have a heart attack. The 22,000 women in the study is the correct answer. A sample is the subset of the population for whom we have data. Here, data is collected on the 22,000 women in the study. ) Kai is conducting a study about the percentage of students with jobs. His school has 2500 students. He asks everyone in his drama class to participate in a survey. He bases his findings on these results. Is this a valid study? Why or why not? A) YES, he asked everyone in his class. C) NO, he should have taken a small sample from the drama class. YES, since drama students tend to have after- NO, the drama class does not represent all students in /8

2 school jobs. the school. NO, drawing a sample from only the drama class does not give a random sample of all students in the school is the correct answer. This is a convenience sample. He should take a random sample from everyone in the school. 2/8

3 5) Find the difference between the medians of boys and girls as a multiple of the interquartile range for the boys. 3 A) C) Boy interquartile range = Difference between medians = 3.5 therefore, 3.5 = /8

4 6) The box and whiskers plot represents the results of the same math test being given to two different classes. According to the box plot, which statement is true? A) Both classes have a range of 5. C) Both classes have a median of 00. Both classes have a median of 85. Approximately or above. of second period students scored an 85 Both classes have a range of 5. To find the range of each class subtract 55 from 00, which is 5. 7) A bag contains 5 red balls, 3 green balls, and 2 yellow balls. Find the sum of the probability of drawing a red ball, replacing it, drawing a green ball, replacing it and drawing a yellow ball. A) 0 C) 0 0 The probability of a red ball is 5 0, a green ball is 3 0, and a yellow ball is 2 0. The sum of these probabilities is. Also, since all three possible events are being added together the sum must be, since the sum of the outcomes of an experiment must equal. /8

5 8) Color Number of Marbles Blue Black 2 Red 5 Orange Green 5 Rachel has 20 marbles in a jar. This table shows the number of blue, black, red, orange, and green marbles. What is the probability that if she randomly drew a marble out of the jar it would be orange? A) 5 C) If you plug the correct values into the formula Probability = number of desired outcomes/number of possible outcomes, you get Probability = /20. Simplify this fraction to %DIV%5. 9) In his first basketball game of the season, Josh made 3 out of 5 free throw shots. Based on this information, if Josh shoots 90 free throws for the season, how many shots made could be expected? A) 50 C) shots made = = 5 0) How likely is it that you would pick a red symbol if you closed your eyes? A) certain C) probable impossible unlikely It is probable that you will pick a red symbol if you close your eyes since there are an equal number of red and black symbols. 5/8

6 6/8

7 ) Probability of Spinning a Color Color Number of times spun blue 78 red 8 green 82 yellow 77 purple 82 A spinner that has 5 areas of equal size, blue, red, green, yellow, and purple, is spun 00 times. The results are shown in the table. Are all outcomes equally likely according to the results of the experiment? A) Yes, all of the probabilities add to equal one. C) No, all of the probabilities do not add to equal one. Yes, since the number of times each color is landed on is about the same. No, it seems more likely to spin a green or purple than a blue or yellow. Yes, since the number of times each color is landed on is about the same. 2) Find the probability of spinning an even number and rolling an odd number. A) C) x 3 6 = 2 8 = 7/8

8 3) What is the number of possible outcomes if two quarters are tossed and the total numbers of heads and tails are counted? A) 2 C) TT two tails/no heads TH one tail/one head HT HH two heads/no tails ) Loretta is rolling an unfair 6 sided die with a single number between and 6 on each face. She has a 70% chance of rolling a four. She is playing a game with a friend and knows that if she rolls a four on three of her next five rolls she will lose the game. She wants to determine the probability that she rolls a four on three of her next five rolls. Which simulation design has an appropriate device and a correct trial? A) Using a fair coin let heads represent rolling a four and tails represent not rolling a four. Flip the coin five times. Using a table of random digits select a digit between 0 and 9. Let 0-6 represent rolling a four and 7-9 represent not rolling a four. Select five digits. C) Roll a fair die with a single digit between and 6 on each face. Let four represent rolling a four and -3 and 5 and 6 represent not rolling a four. Roll the die five times. Using a table of random digits select a digit between and 6, ignoring digits 0, 7, 8, and 9. Let represent rolling a four and -3 and 5 and 6 represent not rolling a four Select five digits. Since Loretta has a 70% chance of rolling a four you need to make sure that the randomizing device has 70% of the outcome assigned to rolling a four and 30% of the outcomes assigned to not rolling a four. See is doing 5 trials, so the device needs to be used five times. The correct answer is Using a table of random digits select a digit between 0 and 9. Let 0-6 represent rolling a four and 7-9 represent not rolling a four. Select five digits. 8/8

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