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May 7, 2012

Statistical Analysis on Mode ,Mean, Median, Histogram, Frequency polygon, Cumulative Frequency Distribution, Bar Chart & Pie Chart

  

i

s    List   of Data has been shown
     Mode ,Mean, Median, Histogram, Frequency polygon, Cumulative Frequency Distribution, Bar Chart & amp; Pie Chart 








Students Name of  B.B.A Department
Student ID
Study Hours(weekly)

Shefat E noor Khaja Sami
01
8

S.M Sharia Mojumder
02
16

MD Shariful Islam
03
24

Romana Islam
04
18

Dilruba Aktar
05
10

Effana Binta Haque
06
5

Youna Azrin Chowdhury
07
4

Sharf Shihab Hussain
08
10

Tanjila Zaman
09
30

K.M Sadman Sakib
10
25

Asif Hasan Mahmud
11
8

MD Asfaq Hossain
12
3

Shariar Chowdhury
13
9

Asif-Ul-Kabir
14
8

Md. Yousuf Mozumder
15
12

MD Alamgir hossain Khan
16
17

Nabid Ahmed
17
27

Sujan Chandra Sarkar
18
20

Shampa Saha
19
12

Md. Mehedi Hasan
20
21

Students Name Of English Department
Student ID
Study Hours(weekly)

Md Shahin Uddin
21
8

Mohiyan Haque
22
10

Nigan Sultana
23
4

Nasrin Saiba Dipa
24
15

Tazma Islam
25
28

Maisha Tabassum
26
21

 Asma Aktar
27
3

Rebad Ahamed
28
35

A.H.M Rezwanul Haque
29
20

Sonia Akter
30
40

Miftahul Jannat Luna
31
7

Irin Zaman
32
11

Rabeya Khatun
33
17

Afnaza Khanom Zuna
34
5

jannatul Ferdush Rasha
35
23

Jnanee Oman Khaiyam
36
9

Sorwar Uddin
37
16

Mayaniz Khanam Shimul
38
9

Kamrun Nahar Dola
39
5

ShaikaTasnim Khan
40
10

Students Name of Economics Department
Student ID
Study Hours(weekly)

Amzad Hossain
41
8

Surid Saeed
42
15

Ashraf Ahmed
43
18

Md. Saiful Islam
44
24

Shafayet Hossain
45
7

Towhid Hasan Tamal
46
10

Md. Farhad Hossain
47
24

Mir Kamaruzzaman
48
16

Dowla Biswas
49
21

Syeda Raisa Tazneen
50
28

Tasnim Shaba Mostafa
51
30

Nourin Rahman
52
25

Tanzina Sharmin Toma
53
26

Kashfia Hossain
54
21

Ahmed Shatil
55
6

Md. Mahfuzul Hasan
56
15

Mariha Sabah
57
7

Md. Ashikuzzaman Shoshee
58
18

Md. Imran Hossain
59
20

Md. Abu Nayem Shawon
60
25

Students name of ECE Department
Student ID
Study Hours(weekly)

Md. Forhad Shamim
61
18

Md. Talha
62
15

Nausiba Nahin
63
9

Md. Muzahedul Hoque
64
7

Md. Saidur Rahman
65
5

Hasanuzzaman Sayem
66
16

Afsana Umme Hani
67
12

Istiaq Ahmed Shovon
68
14

Sahanur Rahman Shohag
69
12

Md. Naimul Islam
70
10

Mahinul Mannan
71
24

Sajjad Hossain
72
28

Pritom Roy
73
8

Kazi Ashrafuzzaman
74
16

Inzamamul Hossain
75
20

Pappu Talukder
76
15

Saaif Mahamud
77
6

Md.Faizur Rahman
78
7

Md. Sabuj Miah
79
12

Md. Anisur Rahman
80
10


There are sample of 80 students weekly study hours.

8, 16, 24, 18, 10, 5, 4, 10, 30, 25, 8, 3, 9, 8, 12, 17, 27,  20, 12, 21, 8, 10, 4, 15, 28, 21, 3, 35, 20, 32, 7, 11, 17, 5, 23, 9, 16, 9, 5, 10, 8, 15, 18, 24, 7, 10, 24, 16, 21, 28, 30, 25, 26, 21, 6, 15, 7, 18, 20, 25 ,18, 15, 9, 7, 5,  16, 12, 14,  12, 10, 24, 28 , 8, 16, 20, 15, 6, 7, 12, 10.


There are total number of observation is 80. So n=80
Number of Class:
We know that No. of class = 2k > n. So here k = 7
Class Interval:
We know that, i  ≥ H-L/k   35-3/7 = 4.57. So i = 5
Ø  Organize the data into a frequency table :
Table-1
class interval
frequency
Relative frequency
Class midpoint
Cumulative frequency
Upper Limit
1 to 6
8
0.1
3.5
8
6
6 to 11
24
0.3
8.5
32
11
11 to 16
12
0.15
13.5
44
16
16 to 21
15
0.1875
18.5
59
21
21 to 26
12
0.15
23.5
71
26
26 to 31
7
0.0875
28.5
78
31
31 to 36
2
0.025
33.5
80
36

Fig: 01
Now we draw a histogram from the table-1. In this diagram, the horizontal axis contains the value of class midpoint and the vertical axis contains the value of frequency. From the above histogram we can say that the class midpoint 8.5 contains the highest frequency that is 24. And class midpoint 33.5 shows the lowest frequency is 2.

Fig:2
Now we draw a frequency polygon from the table-1. In this figure, the horizontal axis contains the value of class midpoint and the vertical axis contains the value of frequency. From the above frequency polygon we can say that the class midpoint 8.5 shows the highest frequency that is 24. And class midpoint 33.5 shows the lowest frequency is 2
Fig: 3
Now we draw a cumulative frequency distribution from the table-1. In this figure, the horizontal axis contains the value of upper class limit and the vertical axis contains the value of cumulative frequency. At first, the curve is dramatically increased and then slowly increased. So we can say that the curve is increasing curve.

Ø  Calculating Mean, Median  and mode:
Mode:
Here most repeated value is 10 in our total number of observation. So for ungroup data the mode is 10 hours per week



We draw a table for calculating mean and median for group data.
Table – 2:
­­­­­­class interval
­­­­­­­Frequency(f)­­­­
Class midpoint(x)
fx
Cumulative frequency
1 to 6
8
3.5
28
8
6 to 11
24
8.5
204
32
11 to 16
12
13.5
162
44
16 to 21
15
18.5
277.5
59
21 to 26
12
23.5
282
71
26 to 31
7
28.5
199.5
78
31 to 36
2
33.5
67
80

80

∑fx=1220













Mean for group data:
X = ∑fx /n
=1220/80
=15.25
Median for group data:
Me
Here, n=80, so 80/2 = 40, i.e in the table the median class is (6 up to 111). From the table
L=11, n=80, f=12, i=5, CF=32
Me
       = 14.33





                                                                                                                             
Here, mean > median > mode, so the distribution is positively skewed.

Here shows weekly study hours on the basis of the departments:
Fig: 4
Now we draw a Bar Diagram from the table-2. In this Diagram, the horizontal axis contains the name of four departments and the vertical axis contains the value of average study hours. Here the students of Economics department show the highest study hours. And the other departments study hours almost same.



Here shows weekly study hours in a bar chart on the basis of the class limit:
Fig: 5
Now we draw a Bar chart from the table-2. In this diagram, the horizontal axis contains the value of class interval and the vertical axis contains the value of frequency. From the above Bar chart we can say that the class interval 6 to 11 shows the highest frequency that is 24. And class interval 31 to 36 shows the lowest frequency is 2.

Here shows the Bar Chart on the basis of total observation in percentage.
Fig: 6
Now we draw a Bar Diagram from the table-2. In this Diagram, the horizontal axis contains the name of four departments and the vertical axis contains the value of average study hours. Here the students of Economics department show the highest study hours. And the other departments study hours almost same.
Here shows weekly study hours in a pie diagram on the basis of the class limit:
Fig: 7
Now we draw a Pie Chart from the table-2. The pie chart shows the highest percentage of study hours that is 30% in the class limit of 6 to 11.
Fig: 8
Now we draw a Pie Chart from the table-2. Here the students of Economics department show the highest percentage of study hours. And the other departments study hours percentage almost same.








Thankyou

3 comments:

  1. A blog full of knowledge and information.Calculating Mean,median and average are very important questions of the Mathematics which are asked in almost every field.Like commerce,data analysis and statistics.

    ReplyDelete
  2. Yeas this really a good exceptional blog. hear shown easy way calculate the mean, median, mood and average. also hear given some gape and description. I an so helpful on this report.
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