The heights, in cm, of students from a class are shown below. 
<div class="table-container"><table><colgroup><col style="width: 100px;"><col style="width: 50px;"><col style="width: 50px;"><col style="width: 50px;"><col style="width: 50px;"><col style="width: 50px;"><col style="width: 50px;"><col style="width: 50px;"></colgroup><tbody><tr><td rowspan="2" style="text-align: center">Boys</td><td style="text-align: center">$165$</td><td style="text-align: center">$175$</td><td style="text-align: center">$169$</td><td style="text-align: center">$174$</td><td style="text-align: center">$166$</td><td style="text-align: center">$171$</td><td style="text-align: center">$180$</td></tr><tr><td style="text-align: center">$175$</td><td style="text-align: center">$168$</td><td style="text-align: center">$182$</td><td style="text-align: center">$170$</td><td style="text-align: center">$177$</td><td style="text-align: center">$178$</td><td style="text-align: center">$169$</td></tr><tr><td rowspan="2" style="text-align: center">Girls</td><td style="text-align: center">$149$</td><td style="text-align: center">$159$</td><td style="text-align: center">$166$</td><td style="text-align: center">$161$</td><td style="text-align: center">$152$</td><td style="text-align: center">$175$</td><td style="text-align: center">$160$</td></tr><tr><td style="text-align: center">$157$</td><td style="text-align: center">$158$</td><td style="text-align: center">$180$</td><td style="text-align: center">$158$</td><td style="text-align: center">$168$</td><td style="text-align: center">$154$</td><td style="text-align: center">$160$</td></tr></tbody></table></div>
<ol class="i-list"><li><div class="list-item-paragraph">Represent these two sets of data by a back-to-back stem-and-leaf diagram. </div></li><li><div class="list-item-paragraph">Find the probability that a student is taller than $170$ cm. </div></li></ol>

The heights, in cm, of students from a class are shown below. 

Represent these two sets of data by a back-to-back stem-and-leaf diagram. 

Find the probability that a student is taller than $170$ cm. 

Back-to-Back Stem-and-Leaf Diagram and Height Analysis

Back-to-Back Stem-and-Leaf Diagram and Height Analysis

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