Table of Boys Randomly Selected

BOY NUMBER
RANDOM NUMBER X 200
ROUNDED UP NUMBER
AGE (YRS)
HEIGHT (CM)
WEIGHT (KG)
1
9.1
9
9
138
47.9
2
11.3
11
14
179
56.46
3
21.4
21
12
135
47.28
4
31.8
32
10
137
47.69
5
39.9
40
11
114
42.89
6
45.8
46
9
138
49.9
7
57.1
57
12
163
53.12
8
65.5
66
14
174
55.42
9
78.6
79
9
146
49.57
10
86.1
86
16
170
54.58
11
97.9
98
16
183
57.3
12
110.2
110
14
155
51.45
13
123.2
123
10
140
48.32
14
136.8
137
12
156
51.66
15
162.3
162
13
145
49.36
16
163.4
163
13
169
54.37
17
163.9
164
11
152
50.83
18
177.6
178
15
175
55.63
19
179.9
180
15
175
55.63
20
188.6
189
15
184
57.51

MEAN = 3, 014 20 = 150.7

MEDIAN = 155 + 156

2 = 155.5

(114,138,135,137,138,140,145,146,155,156,152,163,169,170,174,175,175,179,183,184)

The results are similar so it is understood that the calculations are correct.

Table of girls randomly selected

GIRL NUMBER
RANDOM NUMBER X 200
ROUNDED UP NUMBER
AGE (YRS)
HEIGHT (CM)
WEIGHT (KG)
1
7.9
8
11
154
51.24
2
17.3
17
11
146
49.57
3
26.4
27
12
150
50.41
4
38.1
38
12
160
52.5
5
67
67
13
162
52.91
6
68.2
68
13
151
50.62
7
74.7
74
13
162
52.91
8
81.9
82
12
160
52.5
9
82.8
82
12
154
51.24
10
95
95
11
154
51.24
11
107.3
107
9
152
50.83
12
112.1
112
15
156
51.66
13
149.7
150
11
158
52.08
14
154.6
154
15
159
52.29
15
156
156
10
133
46.86
16
168.4
168
12
139
48.11
17
173.4
173
12
162
52.91
18
183
183
12
156
51.66
19
193.4
193
14
165
53.54
20
199.1
199
13
155
51.45

MEAN = 3,088

20 = 154.4

MEDIAN = 155 + 156

2 = 155.5

(133,139,146,150,151,152,154,154,154,155,156,156,158,159,160,160,162,162,162,165)

The results are similar so it is understood that the calculations are correct.

MATHS ASSIGNMENT

TASK 1

STATISTICAL INVESTIGATION

hypothesis

I am hoping to find that boys are taller than girls.

Plan
I will ensure that my plan and chosen sampling method is satisfactory wth my maths tutor. I will collect a fair sample of 20 boys and 20 girls. In order for the sample to be unbiased, I will use random sampling to generate random numbers from 1 to 200. I will not use the same child twice, nor with incomplete data. I will then use the sample to calculate the average height of boys and girls to test my hypothesis.

Sampling method – random sampling
I wll use a calculator to generate random numbers by doing the following: press shift Ran # to generate a number.
Press = to continually obtain further random numbers.
Numbers from 1-200 are required, so I will use the following: Press shift Ran # multiplied by 200.
I will then round each number up or down accordinally to produce a whole number.
That is then the number of the child whose data I will highlight and use.

Calculations by being able to find the average height of boys and girls I am able to find 1 figure that represents the boys and 1 figure that represents the girls. By doing this it will allow me to compare the heights effectively.

The method I will use to find the average (mean) height of both boys and girls is:

mean for boys = total number of heights (boys) number of boys = cm to 1 decimal place

mean for girls = total number of heights (girls) number of girls = cm to 1 decimal place

in order to check that I have the correct methods of calculations I will use another type of average to check the mean calculations. Median is the middle value when all of the heights are arranged in order of sze. The mean and median averages are similar so I will assume that my calcualtions are correct.
For example if the middle numbers are 151 and 152 then the formula used is:

151 / 152 = median = 151 + 152