Teacher resources and professional development across the curriculum

Teacher professional development and classroom resources across the curriculum

Session 4:
Homework

Problem H1

Determine the Five-Number Summary for each of the remaining data sets of raisin counts from Session 2, and construct a box plot for each on the same scale as the ones you built in Problem D2. Then interpret the quantities in each Five-Number Summary. In other words, use your results to answer the question "How many raisins are in a half-ounce box of raisins?" for each brand.

Here are the raisin counts for boxes of Brand C and Brand D raisins:

Brand C

 25 25 25 26 26 26 26 26 27 27 27 28 28 28 28 28 28 28 28 28 29 29 29 30 30 31 32 32

Brand D

 23 24 25 25 25 27 27 27 27 27 27 27 27 28 28 29 29 29 29 29 29 30 31 32 32 33 33 33 34 34 35 35 35 36 36 38

 Problem H2 Based on the interpretations you made in Problems D2 and H1, which brand of raisins would you buy? Explain.

Problem H3

Consider the following data on sex, height, and arm span for 24 people from Session 1, Problem B3:

 Gender Height Arm Span Male 185 173 Female 160 161 Male 173 177 Female 170 170 Female 188 188 Male 184 196 Female 162 156 Female 170 162 Male 176 177 Female 166 165 Male 193 194 Male 178 178

 Gender Height Armspan Male 180 184 Female 162 159 Male 187 188 Male 186 200 Male 182 188 Female 160 157 Male 181 188 Male 192 188 Female 167 170 Female 176 173 Female 155 160 Female 162 161

 a. Determine the Five-Number Summary and box plot for the 24 heights. b. Determine the Five-Number Summary and box plot for the 24 arm spans. c. Determine the Five-Number Summaries and box plots for the 12 males' and 12 females' heights. How do the box plots help you compare these two sets? d. Determine the Five-Number Summaries and box plots for the males' and females' arm spans.

 Problem H4 Describe how you would create a Four-Number Summary that divides the data into three groups with approximately one-third of the data in each group. Include instructions for determining the positions of T1 and T2 (the locations of the dividing points of the first and second thirds of the data).