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ALGEBRA 1 EOC REVIEW 6 STATS

ALGEBRA 1 EOC REVIEW 6 STATS. 1). The following represents the Algebra test scores of 20 students: 29, 31, 67, 67, 69, 70, 71, 72, 75, 77, 78, 80, 83, 85, 87, 90, 90, 91, 91, 93. a) Create a stem-leaf. 1).

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ALGEBRA 1 EOC REVIEW 6 STATS

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  1. ALGEBRA 1 EOC REVIEW 6 STATS

  2. 1) The following represents the Algebra test scores of 20 students: 29, 31, 67, 67, 69, 70, 71, 72, 75, 77, 78, 80, 83, 85, 87, 90, 90, 91, 91, 93. a) Create a stem-leaf.

  3. 1) The following represents the Algebra test scores of 20 students: 29, 31, 67, 67, 69, 70, 71, 72, 75, 77, 78, 80, 83, 85, 87, 90, 90, 91, 91, 93. b) Create a histogram.

  4. 1) The following represents the Algebra test scores of 20 students: 29, 31, 67, 67, 69, 70, 71, 72, 75, 77, 78, 80, 83, 85, 87, 90, 90, 91, 91, 93. c) What is the mean, mode, and median? Mean: 74.8 Mode: 67, 90, 91 Median: 77.5

  5. 1) The following represents the Algebra test scores of 20 students: 29, 31, 67, 67, 69, 70, 71, 72, 75, 77, 78, 80, 83, 85, 87, 90, 90, 91, 91, 93. d) Create a box-plot. 29 93 69.5 77.2 88.5

  6. 1) The following represents the Algebra test scores of 20 students: 29, 31, 67, 67, 69, 70, 71, 72, 75, 77, 78, 80, 83, 85, 87, 90, 90, 91, 91, 93. e) What is the interquartile range? Q3 – Q1 = 88.5 – 69.5 = 19 f) What is the standard deviation? Standard Deviaion = 17.17

  7. 1) The following represents the Algebra test scores of 20 students: 29, 31, 67, 67, 69, 70, 71, 72, 75, 77, 78, 80, 83, 85, 87, 90, 90, 91, 91, 93. g) Suppose that a 21st score of 5 is added. Which will likely change the most: mean, mode, or median? mean Will the standard deviation increase or decrease? increase

  8. 1) The following represents the Algebra test scores of 20 students: 29, 31, 67, 67, 69, 70, 71, 72, 75, 77, 78, 80, 83, 85, 87, 90, 90, 91, 91, 93. h) Describe the shape, center, and spread of this data. negatively skewed

  9. 2) Describe the shape of the following distributions. Use words like skewed to the left (less numbers on the left), skewed to the right (less numbers to the right), uniform, unimodel (one mode tower), bimodal (two mode towers), gap, outlier, symmetric, and bell shaped. A skewed right A: ____________ _______________ B skewed left B: ____________ _______________

  10. 2) Describe the shape of the following distributions. Use words like skewed to the left (less numbers on the left), skewed to the right (less numbers to the right), uniform, unimodel (one mode tower), bimodal (two mode towers), gap, outlier, symmetric, and bell shaped. C gap

  11. 2) Describe the shape of the following distributions. Use words like skewed to the left (less numbers on the left), skewed to the right (less numbers to the right), uniform, unimodel (one mode tower), bimodal (two mode towers), gap, outlier, symmetric, and bell shaped. D bell

  12. 3) Use the following box-plot to answer the questions: 95 145 140 150 160 170 130 90 100 110 120 80 a) What is the interquartile range? 145 – 95 = 50 b) What is the maximum? about 162 c) What is the minimum? 80

  13. 3) Use the following box-plot to answer the questions: 140 150 160 170 130 90 100 110 120 80 d) Draw a histogram that best models this box-plot.

  14. 4) A set of data has a mean of 56.7 and a standard deviation of 2.5. What would the new mean and new standard deviation be if each set of data is increased by 5? New mean: 61.7 Standard Deviation: 2.5

  15. 5) The following data shows the ages of teachers: 23, 25, 25, 27, 29, 30, 31, 32, 33, 34, 36, 37, 40, 41, 42, 43, 55 a) What measure of spread is more appropriate for this data (mean, mode, median, or standard deviation)? mean b) Are there any outliers? Explain. Q3 – Q1 = 40.5 – 28 = 12.5 = IQR 28 – 18.75 = 9.25 1.5(12.5) = 18.75 40.5 + 18.75 = 59.25 Since none of the data is less than 9.25 nor greater than 59.25, there are NO outliers. c) Describe the shape of this data. skewed right (positive)

  16. 6) A teacher interviewed 200 students and found the following results: = 40 = 20 = 20 = 50 = 50 = 20 a) How many senior males did the teacher interview? 50 b) If the student was a sophomore, what gender was the student more likely to be? male c) How many more female juniors were there than male juniors? 30

  17. 7) The following are test scores of a Biology test: 55, 59, 60, 61, 65, 65, 65, 70, 72, 73, 74, 76, 77, 78, 82, 88, 93, 94, 95. a) Create a stem-leaf.

  18. 7) The following are test scores of a Biology test: 55, 59, 60, 61, 65, 65, 65, 70, 72, 73, 74, 76, 77, 78, 82, 88, 93, 94, 95. b) Create a histogram.

  19. 7) The following are test scores of a Biology test: 55, 59, 60, 61, 65, 65, 65, 70, 72, 73, 74, 76, 77, 78, 82, 88, 93, 94, 95. c) What is the mean, mode, and median? Mean = 73.79 Mode = 65 Median = 73

  20. 7) The following are test scores of a Biology test: 55, 59, 60, 61, 65, 65, 65, 70, 72, 73, 74, 76, 77, 78, 82, 88, 93, 94, 95. d) Create a box-plot. 55 95 65 73 82

  21. 7) The following are test scores of a Biology test: 55, 59, 60, 61, 65, 65, 65, 70, 72, 73, 74, 76, 77, 78, 82, 88, 93, 94, 95. e) What is the interquartile range? IQR = 82 – 65 = 17 f) What is the standard deviation? 12.3 or 11.9

  22. 7) The following are test scores of a Biology test: 55, 59, 60, 61, 65, 65, 65, 70, 72, 73, 74, 76, 77, 78, 82, 88, 93, 94, 95. g) Suppose that a 21st score of 5 is added. Which will likely change the most: mean, mode, or median? mean Will the standard deviation increase or decrease? increase

  23. 8) Use the following box-plot to answer the questions: 12 16 10 20 22 24 26 16 14 18 12 a) What is the interquartile range? IQR = 16 – 12 = 4 b) What is the maximum and minimum? Maximum = 26 Minimum = 10

  24. 9) A set of data has a mean of 44.7 and a standard deviation of 1.3. What would the new mean and new standard deviation be if each of the data is decreased by 3? New mean = 41.7 Standard Deviation = 1.3

  25. 10) The following data shows household income: 23500, 26000, 28000, 29000, 32500, 36500, 38500, 42200, 55000, 58500, 62000, 67000, 112200. a) What measure of spread is more appropriate for this data (mean, mode, median, or standard deviation)? median b) Are there any outliers? Explain. Q3 – Q1 = 60250 – 28500 = 31750 = IQR 1.5(31750) = 47625 60250 + 31750 = 107875 112200 is an outlier. c) Describe the shape of this data. skewed right d) Suppose that a millionaire is added to the data set, which measure of spread will increase the most? mean

  26. 11) 400 people were surveyed. Each person was asked whether he or she prefers Drama or Comedy movies. The results are shown in the relative frequency table below: = 220 = 100 = 120 = 60 = 84 = 24 = 16 = 80 = 96 = 240 = 160 a) How many more people prefer drama than comedy? 240 – 160 = 80 b) How many more 21-30 year olds prefer comedy than drama? 120 – 100 = 20 240 c) How many total people prefer drama?

  27. 12) Match the following histogram (E-H) to the correct box-plot (A-D): A E G B H C F E D F H G

  28. 13) The following shows the population of various towns (in thousands)? Suppose that Winstonville with a population of 26,000 is added to the data set. Which of the following is true? A) The mean increases. B) The range remains the same. C) The standard deviation increases. D) The interquartile range increases.

  29. 14) A chair lift can hold a maximum of 40000 pounds and 200 people. A safety inspector is determining if the chair lift is safe or not. Which measure of central tendency of people’s weight would be the most useful to determine if the chair lift is safe? A) Mean B) Median C) Mode D) Standard Deviation

  30. 15) The number of points scored by a football team in the first eight games of the season are: 10, 14, 17, 20, 35, 35, 38, 42. What would happen to the data distribution if the team scored 27, 27, and 28 in the next three games. A) The standard deviation would increase. B) The data distribution would become more peaked and more widely spread. C) The data distribution would become less peaked and less widely spread. • The data distribution would become more peaked • and less widely spread.

  31. 16) Which of the following is most likely to have the highest standard deviation? To have the lowest interquartile range? A) The average age of 100 people surveyed at the mall. highest standard deviation B) The average age of 100 people living in a retirement center. C) The weight of 100 new-born babies. D) The amount of TV’s that 100 households have. lowest interquartile range

  32. 17) Which of the following statements is true? A) A data set with high standard deviation means that there is low variability. B) A data set with low standard deviation means that the data set is spread out. C) As the amount of data increases, the standard deviation usually increases. D) A data set with many outliers will have a high standard deviation.

  33. 18) Which of the following data sets has the highest interquartile range? Lowest standard deviation? A) Integers from 1-20 B) Even integers from 2-40 C) The prime numbers from 1-100 highest interquartile range D) List of ages of 20 different teenagers lowest standard deviation

  34. 19) The math club has 50 members. Each member was asked if he preferred Algebra or Geometry. The results are shown in the relative frequency table: = 14 = 32 = 18 = 2 = 16 = 18 = 30 = 50 = 20 Which is true? A) Eight more underclassmen prefer Geometry than Algebra. B) Thirty-six students are upperclassmen. C) Fourteen more upperclassmen prefer Algebra than Geometry. D) 32 % of the students preferred Algebra.

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