Activity 3 A property developer analyzed the amount of office space available in 40 office blocks in the CBD of Gobabis. The following floor areas were recorded.   175 150 178 144 182 172 126 143 146 116 182 140 162 155 176 140 165 165 142 165 168 120 160 155 170 162 177 164 158 118 135 162 195 124 135 150 178 190 160 185   Is the data Continuous or discrete Quantitative or qualitative. Nominal, ordinal, ratio or interval scaled?   Determine the range of the data. Use Sturges Rule to determine k, the number of classes, also determine the class width and the appropriate class limits.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
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Activity 3

A property developer analyzed the amount of office space available in 40 office blocks in the CBD of Gobabis. The following floor areas were recorded.

 

175

150

178

144

182

172

126

143

146

116

182

140

162

155

176

140

165

165

142

165

168

120

160

155

170

162

177

164

158

118

135

162

195

124

135

150

178

190

160

185

 

  1. Is the data
    1. Continuous or discrete
    2. Quantitative or qualitative.
  • Nominal, ordinal, ratio or interval scaled?

 

  1. Determine the range of the data.
  2. Use Sturges Rule to determine k, the number of classes, also determine the class width and the appropriate class limits.
  3. Construct a frequency distribution for the data.
  4. Construct a histogram for the data. Interpret your histogram.
  5. Construct a frequency polygon and interpret it.
  6. Construct a less than ogive for the data.
  7. Construct a more than ogive for the data. From your graph what percentage of office blocks has available office space in excess of 175square metres?
  8. Plot the less than and more than ogives on the same axis and determine the median.
    1. What percentage of office blocks has less than 145 square metres floor space.
    2. What office space area is provided by the lower 70% of office blocks.
  • What % of office blocks provides more than 140 square metres of office space.

 

 

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