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Solved: Exercises 111 and 112 refer to the following setting. We used CensusAtSchools
Chapter 1, Problem 111(choose chapter or problem)
We used Census At School’s “Random Data Selector” to choose a sample of 50 Canadian students who completed a survey in a recent year.
Here are the students’ heights (in centimeters).
\(\begin{array}{llllllllll} \hline 166.5 & 170 & 178 & 163 & 150.5 & 169 & 173 & 169 & 171 & 166 \\ 190 & 183 & 178 & 161 & 171 & 170 & 191 & 168.5 & 178.5 & 173 \\ 175 & 160.5 & 166 & 164 & 163 & 174 & 160 & 174 & 182 & 167 \\ 166 & 170 & 170 & 181 & 171.5 & 160 & 178 & 157 & 165 & 187 \\ 168 & 157.5 & 145.5 & 156 & 182 & 168.5 & 177 & 162.5 & 160.5 & 185.5 \\ \hline \end{array}\)
Make an appropriate graph to display these data. Describe the shape, center, and spread of the distribution. Are there any outliers?
Questions & Answers
QUESTION:
We used Census At School’s “Random Data Selector” to choose a sample of 50 Canadian students who completed a survey in a recent year.
Here are the students’ heights (in centimeters).
\(\begin{array}{llllllllll} \hline 166.5 & 170 & 178 & 163 & 150.5 & 169 & 173 & 169 & 171 & 166 \\ 190 & 183 & 178 & 161 & 171 & 170 & 191 & 168.5 & 178.5 & 173 \\ 175 & 160.5 & 166 & 164 & 163 & 174 & 160 & 174 & 182 & 167 \\ 166 & 170 & 170 & 181 & 171.5 & 160 & 178 & 157 & 165 & 187 \\ 168 & 157.5 & 145.5 & 156 & 182 & 168.5 & 177 & 162.5 & 160.5 & 185.5 \\ \hline \end{array}\)
Make an appropriate graph to display these data. Describe the shape, center, and spread of the distribution. Are there any outliers?
ANSWER:Step 1 of 3
The students' height quantitative is a quantitative variable and it takes many values from 145.5 to 191. A very common graph of the distribution of a quantitative variable is a histogram. So, Let’s construct a Histogram to display the data appropriately.