PORTFOLIO IN
DESCRIPTIVE STATISTIC
OF MATHEMATICS IN
MODERN WORLD
I-7 Group 5
Leader :
Gonzales, Jamela Marie V
Member :
Fernandez, Donna Mae
Germano, Princess Abegaile
Germono, Michelle
Gusi, Angelika
POPULATION
40, 42, 43, 43, 43, 44, 45, 45, 45, 46, ,48, 48, 48, 50, 50, 50, 51.1, 52, 52, 52, 54, 58, 61, 63, 88
𝑵
Sample: n=
𝟏+𝑵𝒆²
E(margin of error 2%)
25 25 25
n=1+(25)(.02)²= 1+.01= 1.01= 24.75= 25 students
Explanation :
Margin of errors, in statistics, is the degree of error in results received from random
sampling surveys. A higher margin of error in statistics indicates less likelihood of relying on the results of
a survey or poll, i.e. the confidence on the results will be lower to represent a population. Lower margin of
error indicates higher confidence levels in the produced results. (Surendran, 2019). We used the 2% of
margin of error because we already have a low population. We get 24.75 sample size when we round off
it still 25. So we have 25 sample size that we will use for the following data.
TABULAR PRESENTATION
DATA TARA PERCENT
40 I 4%
42 I 4%
43 III 12%
43
43
44 I 4%
45 III 12%
45
45
46 I 4%
48 III 12%
48
48
50 III 12%
50
50
51.1 I 4%
52 III 12%
52
52
54 I 4%
58 I 4%
61 I 4%
63 I 4%
88 I 4%
25 STUDENTS 100%
Explanation:
II. GRAPHICAL PRESENTATION
BAR GRAPH
Weight of student
92
89
86
83
80
77
74
71
68
65
62
59
56
53
50
47
44
41
38
35
Explanation :
LINE GRAPH
Weight of student
100
90
80
70
60
50
40
30
20
10
0
Explanation:
PIE GRAPH
Weight of student
45 43
42 46 54 52
48 44 52
50
50
40 50
43
43
45 58
48 63
61 51.1
52 88
48 43
female female female female male male female female male
female female male male male male male female female
female female female female female female female
Explanation:
PICTOGRAPH
Weight Equivalent
40
42
43
44
45
46
48
50
51.1
52
54
58
61
63
88
Legend
= 2 Person = 1 Person Explanation:
Stem and Leaf Plots
0 2 3 3 3 4 5 5 5 6 8 8
5 0 0 0 1.1 2 2 2 4 8
6 1 3
8 8
Explanation:
THE STATISTICAL DATA OF WEIGHT IN I-19 FROM DFCAM-CLP STUDENTS
DATA X µ x-µ (x-µ)²
54 40 50.44 -10.44 108.99
52 42 50.44 -8.44 71.23
43 43 50.44 -7.44 55.35
52 43 50.44 -7.44 55.35
50 43 50.44 -7.44 55.35
50 44 50.44 -6.44 41.47
45 45 50.44 -5.44 29.59
46 45 50.44 -5.44 29.59
58 45 50.44 -5.44 29.59
63 46 50.44 -4.44 19.71
51.1 48 50.44 -2.44 5.95
88 48 50.44 -2.44 5.95
43 48 50.44 -2.44 5.95
48 50 50.44 -0.44 0.19
52 50 50.44 -0.44 0.19
61 50 50.44 -0.44 0.19
48 51.1 50.44 0.66 0.44
43 52 50.44 1.56 2.43
45 52 50.44 1.56 2.43
40 52 50.44 1.56 2.43
48 54 50.44 3.56 12.67
50 58 50.44 7.56 57.15
45 61 50.44 10.56 111.51
44 63 50.44 12.56 157.75
42 88 50.44 37.56 1410.75
III. MEASURE OF CENTRAL TENDENCIES
∑𝑥
MEAN: =
𝑛
1261.1
25
= 50.44kg
MEDIAN: Odd number 25, We only get the middle number.
48kg
MODE:
43kg, 45kg, 48kg, 50kg, 52kg (POLYMODAL)
IV. MEASURE OF DISPERSION
RANGE: Highest-Lowest
88-40= 48kg
∑(𝑥−𝑥)²
STANDARD VARIATION: s=√
𝑛−1
2,272.21
s=√ 24
= √94.68 = 9.73
∑(𝑥−𝑥)²
VARIANCE s²=√ 𝑛−1
𝜎=97.3² = 94.67
