2. © 2007- 09 by S-Squared, Inc. All Rights Reserved. 1.Suppose a math club has 10 members with the following ages: 14, 28, 26, 18, 31, 24, 24, 19, 32, 40 Use the given data to do the following: a)Construct a stem-and-leaf plot Stem Leaf 1 4 8 9 2 4 4 6 8 3 1 2 4 0 Algebra I Concept Test # 16 – Statistics Practice Test

3. b)Find the mean, median, mode and range. Note: The median is the middle number of the data. ** Take the average of the two middle numbers when there is an even number of data values. 25 Note: The mean is the average of the data. 256 10 Simplify = 25.6 Sum of data Number of data 14, 18, 19, 24, 24, 26, 28, 31, 32, 40 Ascending order: 1.Suppose a math club has 15 members with the following ages: 14, 28, 26, 18, 31, 24, 24, 19, 32, 40 Use the given data to do the following: 24 + 26 2 = 50 2 = Algebra I Concept Test # 16 – Statistics Practice Test

4. b)Find the mean, median, mode and range. Note: The mode is the most common number of the data. 24 14, 18, 19, 24, 24, 26, 28, 31, 32, 40 Ascending order: 1.Suppose a math club has 15 members with the following ages: 14, 28, 26, 18, 31, 24, 24, 19, 32, 40 Use the given data to do the following: Algebra I Concept Test # 16 – Statistics Practice Test Note: The range is the difference between the lowest and highest data value. 26 40 – 14 =

5. c)Construct a box-and-whisker plot Minimum 14 Maximum Note: The median is the middle number of the data. 25 Median Note: The median of the upper half of the data is the upper quartile. 31 Median upper quartile Note: The median of the lower half of the data is the lower quartile. 19 Median lower quartile 14, 18, 19, 24, 24, 26, 28, 31, 32, 40 Ascending order: 1.Suppose a math club has 15 members with the following ages: 14, 28, 26, 18, 31, 24, 24, 19, 32, 40 Use the given data to do the following: 40 Algebra I Concept Test # 16 – Statistics Practice Test

6. 2.A student takes four tests and receives scores of 88, 98, 87, and 80. What score does he/she need to earn on the 5 th test to have a mean score of 90 for all 5 tests. Note: The mean is the average of the data. Sum of data Number of data Note: We are taking the mean of 5 tests. 88 + 98 + 87 + 80 + x 5 = 90 Note: The numerator is the sum of the tests, notice one test score is an unknown value. Note: Our final desired mean is 90. 353 + x 5 = 90 Simplify 5 5 ( ) ( ) Multiply 353 + x = 450 Subtract – 353 x = 97 Algebra I Concept Test # 16 – Statistics Practice Test

7. 3.Refer to the scatter plot below: a)Indicate if there is a positive, negative or no correlation. Positive Note: As weight goes up, height tends to go up. Algebra I Concept Test # 16 – Statistics Practice Test

8. − 10 − 80 3.Refer to the scatter plot below: b)Given the table, use the heights at 62 inches and 72 inches to write the function, W(h), for the “line of best fit.” HeightWeight 6190 6294 63105 65110 67134 69130 71160 72174 73184 Note: calculate the slope. 72 174 62 94 – – Simplify 1 8 Reduce m = y 2 – y 1 x 2 – x 1 Formula m = m = m = Substitute Algebra I Concept Test # 16 – Statistics Practice Test

9. mh + b 496 + b 3.Refer to the scatter plot below: b)Given the table, use the heights at 62 inches and 72 inches to write the function, W(h), for the “line of best fit.” HeightWeight 6190 6294 63105 65110 67134 69130 71160 72174 73184 Note: calculate the y-intercept. b 8(62) 94 = + Simplify Subtract W(h) = Equation 94 = − 402 = b Substitute Algebra I Concept Test # 16 – Statistics Practice Test

10. 3.Refer to the scatter plot below: HeightWeight 6190 6294 63105 65110 67134 69130 71160 72174 73184 8 m = Note: Write equation based on calculated values. b = − 402 8h – 402 W(h) = b)Given the table, use the heights at 62 inches and 72 inches to write the function, W(h), for the “line of best fit.” Algebra I Concept Test # 16 – Statistics Practice Test

11. 3.Refer to the scatter plot below: Note: Let h = 70 and simplify to find W(h). 8h – 402 W(h) = c)Using the function from part b, predict the weight of a person with a height of 70 inches. Simplify Equation Substitute 8(70) – 402 W(h) = 560 – 402 W(h) = 158W(h) = 158 pounds Algebra I Concept Test # 16 – Statistics Practice Test

12. 3.Refer to the scatter plot below: Note: Let W(h) = 126 and solve to find h. 8h – 402 W(h) = d)Using the function from part b, predict the height of a person with a weight of 126 pounds. Solve Equation Substitute 8h – 402 126 = 8h 528 = h 66 = 66 inches Algebra I Concept Test # 16 – Statistics Practice Test

13. 4.Heights of students in Mr. Smith’s Math Class: a)Using the data, complete the frequency distribution table. 51"59"57"71"54"60"59"68" 56"57"61"60"65"56"63"62" Height (in inches) TallyFrequency Cumulative Frequency 50-53" 54-57" 58-61" 62-65" 66-69" 70-73" I 11 I I 56 511 I I I 314 I 115 I 116 Algebra I Concept Test # 16 – Statistics Practice Test

14. 4.Heights of students in Mr. Smith’s Math Class: b)Using the frequency table in part a, create a histogram. Height (in inches) TallyFrequencyCumulative Frequency 50-53" 54-57" 58-61" 62-65" 66-69" 70-73" I 11 I I 56 5 11 I I I 314 I 115 I 1 16 Algebra I Concept Test # 16 – Statistics Practice Test

15. 4.Heights of students in Mr. Smith’s Math Class: c)Using the histogram above, determine the number of students who are between 54 and 65 inches tall. 13 students Algebra I Concept Test # 16 – Statistics Practice Test

16. 4.Heights of students in Mr. Smith’s Math Class: d)How many students are in the class? 16 students Algebra I Concept Test # 16 – Statistics Practice Test

17. 4.Heights of students in Mr. Smith’s Math Class: e)Your teacher is 70 inches tall. How many students are shorter than your teacher? 15 students Algebra I Concept Test # 16 – Statistics Practice Test

18. 4.Heights of students in Mr. Smith’s Math Class: f)State the range of the heights. 20 inches 51"59"57"71"54"60"59"68" 56"57"61"60"65"56"63"62" Note: The range is the difference between the greatest and least data value.