In the same dataset, half the students are either excellent or good, and <span class="math-inline" data-latex-source="30" 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>30</mn></mrow><annotation encoding="application/x-tex">30</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">30</span></span></span></span></span> students are good. How many students are excellent?

Question

In the same dataset, half the students are either excellent or good, and <span class="math-inline" data-latex-source="30" 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>30</mn></mrow><annotation encoding="application/x-tex">30</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">30</span></span></span></span></span> students are good. How many students are excellent?

Option A

8

Option B — Correct answer

10

Correct choice.

Option C

12

Option D

15

Explanation

Half of $80$ students means $40$ are either excellent or good. If $30$ are good, then excellent students $=40-30=10$.

Chapter Mock 15: Data Interpretation