GRE Online Course | GRE Statistics and Averages Practice Question #4 | Standard Framework | Linear equations

Question:
The average height of 20 students is 130 cm. If the tallest and shortest students are not counted, the average drops by 0.5 cm. If the difference in height between the tallest and the shortest student is 22 cm, what is the height of the shortest student?

Approach:
1. Add available data to the standard framework of solving averages question.
2. Compute the sum of the heights of the tallest and shortest student from the standard framework. 3. Frame 2 linear equations based on step 2 and the information about difference in heights given in the question.
4. Solve the pair of linear equations in 2 variables to find the height of the shortest student.

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