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Alg 2 Statistics Quiz Review Find the mean, median, and mode of the data set. Round to the nearest tenth. 1. test scores on a math exam: 92, 79, 99, 99, 70, 99, 83, 62, 92, 79, 79, 72, 94, 71, 98, 93, 77, 77, 70, 70, 99, 87 Find the outlier in the set of data. 2. 4.1, 3.1, 0.8, 4.9, 6.3, 3.8, 4.6, 5.2 Make a box-and-whisker plot of the data. 3. 10, 12, 17, 22, 28, 20, 11, 20 What are the mean, variance, and standard deviation of these values? Round to the nearest tenth. 4. 5, 7, 11, 3, 3, 7 5. The numbers of cookies in a shipment of bags are normally distributed, with a mean of 59 and a standard deviation of 6. What percent of bags of cookies will contain between 53 and 65 cookies? The bar graph shows the rents paid per month for apartments in an urban neighborhood. The curve shows that the rents are normally distributed. 45 % of Respondents 40 35 30 25 20 15 10 5 9 9 49 0 9 -69 -74 60 00-6 74 50 00 6 6 7 >$ $ $ $ <$ Rent 6. Estimate the percent of apartment residents who pay from $700 to $749 per month. 7. The graph below displays how many pieces of candy Timmy and his five friends each received last Halloween. Within how many standard deviations of the mean do the values fall? 16 18 20 22 24 26 28 30 32 34 36 38 40 42 8. A candidate for the Senate creates an automated message that calls every third listed phone number and reminds them to vote for him in the upcoming election. 9. Suppose you are researching the eating habits of people your age. What sampling method could you use to find the percent of students in your grade who eat five servings of fruit and vegetables each day? What is an example of a survey question that does not have bias? 10. The average height of corn stalks in a field is 78 inches with a standard deviation of 2.8 inches. Sketch a normal curve labeling the horizontal axis at one, two, and three standard deviations from the mean. Alg 2 Statistics Quiz Review Answer Section 1. ANS: mean = 83.7, median = 81, mode = 99 PTS: OBJ: NAT: TOP: KEY: 2. ANS: 0.8 1 DIF: L2 REF: 11-6 Analyzing Data 11-6.1 To calculate measures of central tendency CC S.IC.6| D.1.a| D.1.b| D.2.c| D.1.e| D.2.a 11-6 Problem 1 Finding Measures of Central Tendency measure of central tendency | mean | median | mode PTS: OBJ: NAT: TOP: 3. ANS: 1 DIF: L2 REF: 11-6 Analyzing Data 11-6.1 To calculate measures of central tendency CC S.IC.6| D.1.a| D.1.b| D.2.c| D.1.e| D.2.a 11-6 Problem 2 Identifying an Outlier KEY: outlier 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 PTS: 1 DIF: L2 REF: 11-6 Analyzing Data OBJ: 11-6.2 To draw and interpret box-and-whisker plots NAT: CC S.IC.6| D.1.a| D.1.b| D.2.c| D.1.e| D.2.a TOP: 11-6 Problem 4 Using a Box-and-Whisker Plot KEY: median | quartile | box-and-whisker plot 4. ANS: mean = 6 variance = 7.7; standard deviation = 2.8 PTS: OBJ: NAT: KEY: 5. ANS: 68% 1 DIF: L3 REF: 11-7 Standard Deviation 11-7.1 To find the standard deviation and variance of a set of values CC S.ID.4| CC S.IC.6| D.1.c TOP: 11-7 Problem 1 Finding Variance and Standard Deviation standard deviation | variance PTS: OBJ: NAT: TOP: 6. ANS: 25% 1 DIF: L3 REF: 11-10 Normal Distributions 11-10.1 To use a normal distribution CC S.ID.2| CC S.ID.4| D.1.b| D.1.c| D.2.g 11-10 Problem 3 Analyzing a Normal Distribution KEY: normal distribution PTS: 1 DIF: L2 REF: 11-10 Normal Distributions OBJ: NAT: TOP: KEY: 7. ANS: 2 11-10.1 To use a normal distribution CC S.ID.2| CC S.ID.4| D.1.b| D.1.c| D.2.g 11-10 Problem 1 Using the Normal Distribution to Estimate Weight normal distribution PTS: 1 DIF: L2 REF: 11-7 Standard Deviation OBJ: 11-7.2 To apply standard deviation and variance NAT: CC S.ID.4| CC S.IC.6| D.1.c TOP: 11-7 Problem 3 Using Standard Deviation to Predict KEY: standard deviation | mean 8. ANS: systematic sample PTS: 1 DIF: L3 REF: 11-8 Samples and Surveys OBJ: 11-8.1 To identify sampling methods NAT: CC S.IC.1| CC S.IC.3| CC S.IC.4| CC S.IC.6| D.3.a| D.3.b| D.3.c| D.3.d| D.5.a TOP: 11-8 Problem 1 Analyzing Sampling Methods KEY: sample | bias | systematic sample 9. ANS: Answers may vary. Sample: Ask every student in your first class of the day. How many servings of fruit and vegetables do you eat each day? PTS: OBJ: NAT: TOP: 10. ANS: 1 DIF: L3 REF: 11-8 Samples and Surveys 11-8.2 To recognize bias in samples and surveys CC S.IC.1| CC S.IC.3| CC S.IC.4| CC S.IC.6| D.3.a| D.3.b| D.3.c| D.3.d| D.5.a 11-8 Problem 3 Designing a Survey KEY: survey | bias Mean –1 deviation +1 deviation –2 deviations +2 deviations –3 deviations 69.6 PTS: OBJ: NAT: TOP: +3 deviations 72.4 75.2 78 80.8 83.6 86.4 1 DIF: L2 REF: 11-10 Normal Distributions 11-10.1 To use a normal distribution CC S.ID.2| CC S.ID.4| D.1.b| D.1.c| D.2.g 11-10 Problem 2 Sketching a Normal Curve KEY: normal distribution