MATH 2705 ______ Name: ___________________________ 20 [A] Assignment 1 – Week 1 and 2 The following are the heights (in cm) of 40 patients from a local hospital. XXXXXXXXXX XXXXXXXXXX ...

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MATH 2705 ______ Name: ___________________________ 20 [A] Assignment 1 – Week 1 and 2 The following are the heights (in cm) of 40 patients from a local hospital. 133 142 144 149 152 153 153 154 156 160 161 161 164 165 165 166 166 167 168 168 171 172 172 172 175 176 178 180 180 181 182 183 183 183 184 185 186 187 188 191 1. To make a frequency distribution of the data we will create 7 classes. What will be the class width for this distribution? [1] 2. Fill in the following frequency distribution table. [4] Class Limits Class Boundaries Tally Frequency Relative Frequency 3. Create a Frequency Histogram of the data, plotting the frequency on the left vertical axis and the relative frequency on the right vertical axis. [4] 4. State the shape of the distribution (bimodal, normal, skewed left, skewed right, uniform). [1] 5. The average height of a male in Canada is 175.1 cm and the average female height is 162 cm. Although the data collected does not include gender, does your frequency histogram support this claim? Why, or why not? [2] 6. a) What percentage of the people studied have a height between 151 and 177 cm? Is this an example of descriptive or inferential statistics? [2] b) Assume there are currently 650 patients at this hospital. If the distribution of people’s heights in the entire hospital is proportional to our sample, what is an appropriate estimate for the total number of patients in the 151 to 177 cm range? Is this and example of descriptive or inferential statistics? [2] 7. Draw the corresponding ogive (cumulative-frequency histogram) for the data. Be sure to label and have a consistent scale on both axes, include units where appropriate, and use a ruler for precision. [4]