© 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 Algebra I Concept Test # 16 – Statistics Practice Test

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 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: = 50 2 = Algebra I Concept Test # 16 – Statistics Practice Test

b)Find the mean, median, mode and range. Note: The mode is the most common number of the data , 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 – 14 =

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

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 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 x 5 = 90 Simplify 5 5 ( ) ( ) Multiply x = 450 Subtract – 353 x = 97 Algebra I Concept Test # 16 – Statistics Practice Test

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

− 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 Note: calculate the slope – – 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

mh + b 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 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

3.Refer to the scatter plot below: HeightWeight 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

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

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 – = 8h 528 = h 66 = 66 inches Algebra I Concept Test # 16 – Statistics Practice Test

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 I I I 314 I 115 I 116 Algebra I Concept Test # 16 – Statistics Practice Test

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 I I I 314 I 115 I 1 16 Algebra I Concept Test # 16 – Statistics Practice Test

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

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

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

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.