In a recovered student-performance dataset, there are <span class="math-inline" data-latex-source="80" data-display-mode="false" contenteditable="false"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mn>80</mn></mrow><annotation encoding="application/x-tex">80</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.6444em;"></span><span class="mord">80</span></span></span></span></span> students in total and <span class="math-inline" data-latex-source="32" data-display-mode="false" contenteditable="false"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mn>32</mn></mrow><annotation encoding="application/x-tex">32</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.6444em;"></span><span class="mord">32</span></span></span></span></span> are female. One-third of the male students are average performers. How many male students are average performers?

Question

In a recovered student-performance dataset, there are <span class="math-inline" data-latex-source="80" data-display-mode="false" contenteditable="false"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mn>80</mn></mrow><annotation encoding="application/x-tex">80</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.6444em;"></span><span class="mord">80</span></span></span></span></span> students in total and <span class="math-inline" data-latex-source="32" data-display-mode="false" contenteditable="false"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mn>32</mn></mrow><annotation encoding="application/x-tex">32</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.6444em;"></span><span class="mord">32</span></span></span></span></span> are female. One-third of the male students are average performers. How many male students are average performers?

Option A

12

Option B — Correct answer

16

Correct choice.

Option C

18

Option D

24

Explanation

Male students $=80-32=48$. One-third of $48$ is $16$.

Chapter Mock 15: Data Interpretation