Descriptive Statistics Student`s

Descriptive Statistics Student`s

DescriptiveStatistics

DescriptiveStatistics

Theforty (40) different numbers that were used in this assignment weregenerated with the help of random number generator application. Therandomness of each digit generated emanate from the atmosphericnoise. This form of random number generation has been proved to bemore reliable compared to the computer system pseudo-randomalgorithm. The atmospheric noise cannot be predicted at any instantin time and this makes the process more reliable. Each digit has beengenerated by pure chance and cannot be regenerated in the order inwhich they were acquired for this assignment.

1

18

36

49

4

19

36

50

5

20

38

51

7

20

39

55

10

21

41

57

12

24

41

58

14

25

43

60

16

31

43

61

16

33

47

69

17

35

47

72

Table1.00 Sorted set of random data

1-10

11-20

21-30

31-40

41-50

51-60

61-70

71-80

1

12

21

31

41

51

61

72

4

14

24

33

41

55

69

5

16

25

35

43

57

7

16

36

43

58

10

17

36

47

60

18

38

47

19

39

49

20

50

20

5

9

3

7

8

5

2

1

Table 2.0:Frequency Distribution

Midpoints (x)

f

fx

fx^2

10.50

5.00

52.50

551.25

15.50

9.00

139.50

2162.25

25.50

3.00

76.50

1950.75

35.50

7.00

248.50

8821.75

45.50

8.00

364.00

16562.00

55.50

5.00

277.50

15401.25

65.50

2.00

131.00

8580.50

75.50

1.00

75.50

5700.25

SUM

40.00

1365.00

59730.00

Table 2.1:Frequency Distribution and analysis

Mean:34.13 Variance: 337.16 Standard Deviation: 18.36 Median: 35.50

Bin

Frequency

10

5

20

9

30

3

40

7

50

8

60

5

70

2

80

1

More

0

Graph1: Histogram

Discussion

Thefrequency distribution table was created by grouping the data afterintervals of 10 and identifying all the sets that belong to aparticular group. It was quite easy, especially after organizing thedata in ascending order from table 1.00. A class width of 10 wasreasonable to meet the limit of between 5 to 10 that was provided inthe instruction section. The width was vital in ensuring that thedata were not too wide apart neither too crowded during the analysisprocess.

Themedian of the data was 35.5. This is the value that featured at thecentral position of the data that was analyzed.

Thevariance of the data acquired and analyzed was 337.16. The value ofvariance usually indicates how data points are spread across a dataset. A higher value like 337.16, in this case, indicates that thedata are widely spread, and this is evident in table 1.00. The firstvalue is as low as 1 while the highest value was 72. The value forstandard deviation was 18.36. The value is an indication of how theset of digits provided deviate from the mean position. The data arewidely spread about the mean position.

Itis evident that the data are unsymmetrical about the mean position(not skew). A line of perfect symmetry cannot be established betweenthe data.

Thehistogram is a plot of the frequency against the upper limit for thegrouped data. The height of the bar indicates the number of itemsthat are located in between the previous class and the next cluster.The histogram gives a rough idea from a glance of how the data aredistributed.