HW #4: Quantitative Graphs

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Consider the following frequency table and histogram summarizing 20 data: Class: 10 - 16 Frequency: 1 Relative Frequency: 0.05 Class: 16 - 22. Frequency: 2 Relative Frequency: 0.10 Class: 22 - 28 Frequency: 2 Relative Frequency: 0.10 Class: 28 - 34 Frequency: 2 Relative Frequency: 0.10 Class: 34 - 40 Frequency: 4 Relative Frequency: ? Class: 40 - 46 Frequency: 3 Relative Frequency: 0.15 Class: 46 - 52 Frequency: ?? Relative Frequency: 0.25 Class: 52 - 58 Frequency: 1 Relative Frequency: 0.05 What would be the number represented by "?" in the frequency table?

0.2

Consider a stem-and-leaf display for the following data: 12, 52, 51, 37, 47, 40, 38, 26, 57, 31, 49, 43, 45, 19, 36, 32, 44, 48, 23, 18 Stem and Leaf Plot 1 | 2, 8, 9 2 | 3 | 1, 2, 6, 7, 8 4 | 0, 3, 4, 5, 7, 8, 9 5 | 1, 2, 7 What is the relative frequency of numbers greater than 46?

0.3

You are given the following stem and leaf plot on the ages of employees at a company. 2 | 1, 7, 8 3 | 2, 2, 6, 6, 7, 8 4 | 0, 1, 2, 4, 4, 8, 8 5 | 2, 3, 5, 8 What is the age of the youngest employee?

21

Consider a stem-and-leaf display for the following data: 12, 52, 51, 37, 47, 40, 38, 26, 57, 31, 49, 43, 45, 19, 36, 32, 44, 48, 23, 18 Stem and Leaf Plot 1 | 2, 8, 9 2 | 3 | 1, 2, 6, 7, 8 4 | 0, 3, 4, 5, 7, 8, 9 5 | 1, 2, 7 What is the frequency of numbers between 42 and 46?

3

Consider a stem-and-leaf display for the following data: 12, 52, 51, 37, 47, 40, 38, 26, 57, 31, 49, 43, 45, 19, 36, 32, 44, 48, 23, 18 Stem and Leaf Plot 1 | 2, 8, 9 2 | 3 | 1, 2, 6, 7, 8 4 | 0, 3, 4, 5, 7, 8, 9 5 | 1, 2, 7 What leaves are missing corresponding to the stem of 2?

3, 6

Consider the following frequency table and histogram summarizing 20 data: Class: 10 - 16 Frequency: 1 Relative Frequency: 0.05 Class: 16 - 22. Frequency: 2 Relative Frequency: 0.10 Class: 22 - 28 Frequency: 2 Relative Frequency: 0.10 Class: 28 - 34 Frequency: 2 Relative Frequency: 0.10 Class: 34 - 40 Frequency: 4 Relative Frequency: ? Class: 40 - 46 Frequency: 3 Relative Frequency: 0.15 Class: 46 - 52 Frequency: ?? Relative Frequency: 0.25 Class: 52 - 58 Frequency: 1 Relative Frequency: 0.05 What would be the height of the rectangle represented by "???" in the histogram?

4

You are given the following stem and leaf plot on the ages of employees at a company. 2 | 1, 7, 8 3 | 2, 2, 6, 6, 7, 8 4 | 0, 1, 2, 4, 4, 8, 8 5 | 2, 3, 5, 8 Over 1/3 of the employees are in their _____

40s

Consider the following frequency table and histogram summarizing 20 data: Class: 10 - 16 Frequency: 1 Relative Frequency: 0.05 Class: 16 - 22. Frequency: 2 Relative Frequency: 0.10 Class: 22 - 28 Frequency: 2 Relative Frequency: 0.10 Class: 28 - 34 Frequency: 2 Relative Frequency: 0.10 Class: 34 - 40 Frequency: 4 Relative Frequency: ? Class: 40 - 46 Frequency: 3 Relative Frequency: 0.15 Class: 46 - 52 Frequency: ?? Relative Frequency: 0.25 Class: 52 - 58 Frequency: 1 Relative Frequency: 0.05 What would be the number represented by "??" in the frequency table?

5

You are given the following stem and leaf plot on the ages of employees at a company. 2 | 1, 7, 8 3 | 2, 2, 6, 6, 7, 8 4 | 0, 1, 2, 4, 4, 8, 8 5 | 2, 3, 5, 8 Which one of the following statements is most true of the distribution of ages?

fairly symmetric and unimodal

Consider the following frequency table and histogram summarizing 20 data: Class: 10 - 16 Frequency: 1 Relative Frequency: 0.05 Class: 16 - 22. Frequency: 2 Relative Frequency: 0.10 Class: 22 - 28 Frequency: 2 Relative Frequency: 0.10 Class: 28 - 34 Frequency: 2 Relative Frequency: 0.10 Class: 34 - 40 Frequency: 4 Relative Frequency: ? Class: 40 - 46 Frequency: 3 Relative Frequency: 0.15 Class: 46 - 52 Frequency: ?? Relative Frequency: 0.25 Class: 52 - 58 Frequency: 1 Relative Frequency: 0.05 Which one of the following best describes the shape of the distribution?

skewed left and unimodal


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