Question 1184073: The box-and-whisker plots below show the results of a History test and a
Geography test.
A box-and-whisker plot separates data into 4 quartiles meaning each quartile
represents 25%.
In History, a total of 112 students completed the test. The number of students
who scored above 30 marks was the same for both the History, and Geography,
test.
Using this information, calculate how many students completed the Geography
Test.
Answer by CPhill(1959)   (Show Source):
You can put this solution on YOUR website! Here's how to solve this problem:
**1. Students above 30 in History:**
* The box plot shows that 75% of students scored above 30 in History (since 30 is the lower quartile, or Q1).
* Number of students above 30 in History = 0.75 * 112 = 84 students
**2. Students above 30 in Geography:**
* The problem states that the number of students above 30 is the same for both tests.
* Therefore, 84 students scored above 30 in Geography.
**3. Total students in Geography:**
* The box plot shows that 30 is also the lower quartile (Q1) for Geography, meaning 75% of the students scored above 30.
* Let 'x' be the total number of students who took the Geography test.
* 0.75 * x = 84
* x = 84 / 0.75 = 112
**Answer:** 112 students completed the Geography Test.
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