An Investigation: Investigating If Boys Are Taller Than Girls

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Data Analysis Investigation

Introduction

During this investigation I am going to find out if boys are on average taller than girls and if their average heights are more dispersed.

My hypothesis is:

“On average boys are taller than girls and boy’s heights are more dispersed than girl’s heights.”

Using the data I have been provided by the school I will carry out my investigation. The data provided is based on pupils in our Co-educational comprehensive school. The data has been split up into 5 groups also known as strata; there is one strata for each year group i.e. year 7, 8, 9, 10 and 11. In turn I will look at years 7, 9 and 11 in order to test my hypothesis. During my investigation …show more content…

= √∑fx²f–(x) ²

= √425458÷17 – (158)²

= √62.94

= 7.93 Cm (2 d.p.)

Year 7 Boys

x

137

138

139

140

141

142

143

144

145

146

147

148

149

150

151

152

153

f

1

0

0

0

0

0

0

0

0

1

0

1

0

0

0

2

0

154

155

156

157

158

159

160

161

162

163

164

165

166

167

168

169

170

172

0

0

0

0

0

0

0

0

0

0

1

1

1

1

0

1

2

1

Mean = (137×1) (138×0) (139×0) (140×0) (141×0) (142×0) (143×0) (144×0) (145×0) (146×1) (147×0) (148×1) (149×0) (150×0) (151×0) (152×2) (153×0) (154×0) (156×0) (157×0) (158×0) (159×0) (160×0) (161×0) (162×0) (163×0) (164×1) (165×1) (166×1) (167×1) (168×0) (169×1) (170×2) (171×0) (172×1)

_____________________________________________________________________13

=

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