AnswersCARE_24_25_TX-Mathematical Models with Applications BVariability

Variability Answers

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Eight adults are surveyed and asked how many credit cards they possess. Their responses are 4, 0, 3, 1, 5, 2, 2, and 3. Complete the table below. 4 2.5 0 2.5 3 2.5 1 2.5 5 2.5 2 2.5 2 2.5 3 2.5 Using the formula for standard deviation find the standard deviation for the data in the table. a. b. 0 c. d. 2.25 Please select the best answer from the choices provided

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Mickey Mantle played for the New York Yankees for 18 years. Here is the number of home runs by Mantle per year: 13, 23, 21, 27, 37, 52, 34, 42, 31, 40, 54, 30, 15, 35, 19, 23, 22, 18 Compute the five-number summary of the data and determine which boxplot would best represent the data. a. b. c. d. Please select the best answer from the choices provided

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The table below shows the scores on a math test.David75Aaron75Ashley60Gina75Andrew75Kei95Monica100Anna60Lucas75Jennifer65

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A boxplot helps to visualize the variability of a distribution. Five statistics form a boxplot, often referred to as the five-number summary for the distribution. How much of the data in a boxplot is below the third quartile?

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75% of the data is below the third quartile
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25% of the data is below the third quartile
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50% of the data is below the third quartile
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66% of the data is below the third quartile
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The table below shows the scores on a science test.John75Brett80Elizabeth90Cindy100Jake75Kenji85Rick80Joy80Raul90Suni85

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Determine the standard deviation by filling in the table as part of your calculation. Consider the following data 6, 6, 10, 8, 10, 8

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1.63
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0.47
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0.94
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1.15
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Compute the standard deviation for the set of data. 13.3, 14.3, 15.3, 16.3, 17.3 a. c. b. 2 d. 4 Please select the best answer from the choices provided

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The table below shows the scores on a math test. David 75 Aaron 75 Ashley 60 Gina 75 Andrew 75 Kei 95 Monica 100 Anna 60 Lucas 75 Jennifer 65 Make a visual display of the scores. a. c. b. d. Please select the best answer from the choices provided

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The table below shows the scores on a math test. David 75 Aaron 75 Ashley 60 Gina 75 Andrew 75 Kei 95 Monica 100 Anna 60 Lucas 75 Jennifer 65 The number of standard deviations between a score and the mean score is indicated by a z-score. What was Ashley’s z-score on the math test?

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1.1
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60
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–1.1
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–15.5
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Determine the standard deviation by filling in the table as part of your calculation. Consider the following data 13, 14, 11, 11, 13, 10

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0.82
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1.41
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0.41
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What is the box-and-whiskers plot used to show?

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a histogram
B
variability
C
median
D
observations
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The table below shows the scores on a science test. John 75 Brett 80 Elizabeth 90 Cindy 100 Jake 75 Kenji 85 Rick 80 Joy 80 Raul 90 Suni 85 Make a visual display of the scores. a. c. b. d. Please select the best answer from the choices provided

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Determine the standard deviation by filling in the table as part of your calculation. Consider the following data 6, 6, 10, 8, 10, 8

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1.63
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0.47
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0.94
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1.15
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Gregorio took two tests. Find his z-score for each test. (Remember: The number of standard deviations between a score and the mean score is indicated by a z-score.) On which did he score better compared with others in his class? Test ATest BGregorio’s score6270Mean score8090Standard deviation610

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Test A: 3; Test B: 2; Test A
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Test A: –3; Test B: –2; Test B
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Test A: –2; Test B: –3; Test A
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Test A: –3; Test B: –2; Test A
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On a box-and-whiskers plot, what does line segment 2 represent?

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minimum value
B
maximum value
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first quartile
D
third quartile
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What is the box-and-whiskers plot used to show?

A
a histogram
B
variability
C
median
D
observations
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Use the box-and-whiskers plots below to answer questions about the math test scores of two different classes. Which class had the higher median score? Which class, as a whole, scored better on the test?

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Class B had the higher median score. Class A scored better on the test.
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Class B had the higher median score. Class B scored better on the test.
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Class A had the higher median score. Class A scored better on the test.
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Class A had the higher median score. Class B scored better on the test.
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A student takes ten exams during a semester and receives the following grades: 90, 85, 97, 76, 89, 58, 82, 102, 70, and 67. Find the five-number summary used in a boxplot. Which boxplot best represents the data? a. b. c. d. Please select the best answer from the choices provided

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