[Solved] Draw an “ordered” Stem and Leaf Diagram displaying the data below. It will help if you set up

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NAME:                           Math E-3 Fall 2018     ASSIGNMENT 4

 

Use this document for questions 1, 8, 16,17, 18, 22, 28, and 29.

 

Question 1:

Part A: Draw an “ordered” Stem and Leaf Diagram displaying the data below. It will help if you set up some kind of tally chart.

 

In a large room of people, the age of each person was obtained.

Here are the data: 26, 43, 18, 42, 12, 65, 30, 18, 37, 23, 36, 47, 42, 16, 51,41, 29, 15, 29, 31, 47, 54, 41, 34,

43, 22, 50, 43, 38, 32, 46, 60

 

 

 

 

 

 

 

 

 

 

 

 

Part B: Draw a histogram displaying the ages.

Use the following information when drawing your histogram.

  • Place the following intervals on the x-axis: 10-14, 15-19, 20-24, 25-29, 30-34, 35-39, 40-44, 45-49,

50-54, 55-59, 60-64, 65-69

  • Place the following frequencies on the y-axis: 0, 1, 2, 3, 4, 5, 6, 7, 8
  • Be sure to add the title: Ages of People in the Room
  • Be sure to label your x-axis and y-axis with “People’s Ages” and “Number of People” respectively.

 

Question 8

Grades for Accounting 101 quiz. The data below gives the grades on an accounting quiz. The highest grade was a 90 and the lowest, a 20.

Grade Number of Students Who Received That Grade
20 2
50 5
60 7
70 13
80 4
90 1

 

Draw a bar graph for this distribution of grades.

Use the following information when making your graph.

  • Place the following intervals on the x-axis: 20, 30, 40, 50, 60, 70, 80, 90.
  • Place the following frequencies on the y-axis: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13
  • Be sure to add a title
  • Be sure to label your x-axis and y-axis

 

Questions 16 & 17

Calculate the standard deviation of grades for Accounting 101 quiz. Note: You must do the calculation of the standard deviation as we did in class. Round final answer to the nearest tenth (1dp).

 

X (X – x-bar) (X – x-bar)2 f (X – x-bar)2 * f
20 20 – 63.0 = -43.0 (43.0)2 = 1849 2 3698.00
50 50 – 63.0 = -13.0 (-13.0)2 = 169 5 845.00
 

60

 

70

 

80

 

90

 

Question 18

The table below describes the parking rates per day at 32 different parking garages in and around the city of Boston.

Parking Rate Number of Garages at That Price
$16 3
$18 6
$20 9
$22 5
$24 4
$26 3
$34 2

 

Draw a bar graph for the parking rates per day at 32 different parking garages in and around the city of Boston.

Use the following information when making your graph:

  • Place the following intervals on the x-axis: 16, 18, 20, 22, 24, 26, 28, 30, 32, 34
  • Place the following frequencies on the y-axis: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9
  • Be sure to add a title
  • Be sure to label your x-axis and y-axis

 

Question 22

The following frequency table of the heights of women on a college soccer team.

Height in Inches Frequency
65 1
66 4
67 6
68 11
69 7
70 0
71 5
72 1

 

Draw a bar graph for these data of the heights of women on a college soccer team. Use the following information when making your graph:

  • Place the following intervals on the x-axis: 65, 66, 67, 68, 69, 70, 71, 72
  • Place the following frequencies on the y-axis: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11
  • Be sure to add a title
  • Be sure to label your x-axis and y-axis

 

Questions 28 and 29

Calculate the standard deviation of the heights of women on a college soccer team. Note: You must do the calculation of the standard deviation as we did in class. Round final answer to the tenths place (1 dp.)

 

 

X (X – x-bar) (X – x-bar)2 f (X – x-bar)2 * f
65 65-68.0=-3.0 (-3.0)2= 9 1 9.0
66 66-68.0=-2.0 (-2.0)2= 4 4 16.0
 

67

 

68

 

69

 

71

 

72

 

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