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…