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10 pages/≈2750 words
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APA
Subject:
Mathematics & Economics
Type:
Math Problem
Language:
English (U.S.)
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Topic:

Finding the Mean, Median, Mode and the Relative and Cumulative Relative Frequency

Math Problem Instructions:

Please complete the midterm and bring it to class on our next meeting. All the work must be included with each answer.

STATISTICS

  1. Classify each of the following as N, nominal; O, ordinal; I, interval; or R, ratio data:

    1. Zip code of your local address                     _N____ 

    2. Country you were born in                             _____

    3. Degrees earned by your teachers                  _____

    4. Ages in years of students in class                 _____

    5. Years of important historical events             _____

  1. Which is not an example of quantitative data          __B___
  1. The number of red skittles in a pack of skittles

  2. The color of my eyes

  3. The number of siblings in my family

  4. The number of students in the BHS program

  1. Find the Mean, Median and Modes of the data set.  (Round to the nearest tenth).           

1, 4, 9, 1, 15, 2, 5, 2, 5, 2, 15

Mean              ____5.5_____

Median           ____4_____

Mode              ____2_____


  1. Create a chart that shows the following: Frequency, Relative Frequency, Percentage and Cumulative Frequency.

              1, 4, 9, 6, 3, 3, 5, 7, 9, 2, 8, 2, 5, 8, 5, 8, 1, 10, 4, 2

Frequency table :


element

frequency

cumulative frequency

1

2

2

2

3

5

3

2

7

4

2

9

5

3

12

6

1

13

7

1

14

8

3

17

9

2

19

10

1

20

  1. Determine the median of the following set of number:

44        32        88        19        33        74        62        31        33        56

  1. Make a frequency distribution (using class distribution) of the following scores obtained by a basketball team.

72

104

95

93

96

76

105

100

88

62

79

78

87

78

89

81

110

68

96

106

80

87

86

84

102

84

96

88

82

83

92

87

87

85

108

90

94

98

78

80

  1. The following table gives the result of a survey question asking people how many television sets they had in their home.

For this data:

            Calculate the Mean                ________

            Calculate the Median             ________

            State the Mode                      ________


  1. Twenty students were asked how many hours they worked per day. Their responses, in hours, are listed below, followed by a frequency table listing the different data values in ascending order and their frequencies. Construct a chart that shows the frequency, relative frequency, cumulative frequency, percentage of the following data set:

5, 6, 3, 3, 2, 4, 7, 5, 2, 3, 5, 6, 5, 4, 4, 3, 5, 2, 5, 3


  1. Find the mean for the following:


Number of Books You Own

Frequency


5-10

1


11-15

4


16-20

6


21-25

4


26-30

2


30-35

3


10.  The following represents the number of minutes it takes to get to work:


Number of Hours

Frequency of Students

Relative Frequency

Cumulative Relative Frequency

10-20

5

 

 

21-30

3

 

 

31-40

15

 

 

41-50

40

 

 

51-60

17

 

 

61-70

12

 

 

71-80

7

 

 

81-90

1

 

 
Math Problem Sample Content Preview:

Midterm Fall 2019
Student’s Name
Institutional Affiliation

Midterm Fall 2019
Classify each of the following as N, nominal; O, ordinal; I, interval; or R, ratio data:
Zip code of your local address _N____
Country you were born in __N___
Degrees earned by your teachers __O___
Ages in years of students in class ___R__
Years of important historical events __I___
Which is not an example of quantitative data __B___
The number of red skittles in a pack of skittles
The color of my eyes
The number of siblings in my family
The number of students in the BHS program
Find the Mean, Median and Modes of the data set. (Round to the nearest tenth).
1, 4, 9, 1, 15, 2, 5, 2, 5, 2, 15
Mean ____5.5_____
Mean refers to the average of a dataset = (1+4+9+1+15+2+5+2+5+2+15)/11=5.5.
Median ____4_____
Median is the middle number in a dataset = 1,1,2,2,2,4,5,5,9,15,15=4
Mode ____2_____
Mode refers to the number that occurs most frequently, which is 2 in the above dataset.
Create a chart that shows the following: Frequency, Relative Frequency, Percentage and Cumulative Frequency.
1, 4, 9, 6, 3, 3, 5, 7, 9, 2, 8, 2, 5, 8, 5, 8, 1, 10, 4, 2
ElementFrequencyCumulative FrequencyRelative FrequencyCumulative Percentage1222/20=0.12/20*100=10232+3=53/20=0.155/20*100=25325+2=72/20=0.17/20*100=35427+2=92/20=0.19/20*100=45539+3=123/20=0.1512/20*100=606112+1=131/20=0.0513/20*100=657113+1=141/20=0.0514/20*100=708314+3=173/20=0.1517/20*100=859217+2=192/20=0.119/20*100=9510119+1=201/20=0.0520/20*100=100
Determine the median of the following set of number:
44 32 88 19 33 74 62 31 33 56
First, arrange the numbers in an ascending order.
19,31,32,33,33,44,56,62,74,88
Median = (33+44)/2=38.5
Make a frequency distribution (using class distribution) of the following scores obtained by a basketball team.
721049593967610510088627978877889811106896106808786841028496888283928787851089094987880To get the interval, subtract the lowest from highest value in the dataset.
(110-62)=48+1=49/10=4.9. Round 4.9 to the nearest tenth which is equal to 5. Therefore, interval=5.
Frequency Distribution ...
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