Essay about Maths Assignment task 1

Essay about Maths Assignment task 1 Essay about Maths Assignment task 1 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