# GRE® Quant Practice | Statistics & Averages #2

#### GRE Sample Questions | Arithmetic Mean - Minimum Possible Average

The GRE maths sample question given below is a problem solving question in statistics. It tests two concepts : number systems and computing minimum average.

Question 2 : The average (arithmetic mean) of two numbers x and y is 15. If x, y, and z are non-negative integers such that x < z < y, what is the minimum possible average of x, y, and z?

1. 10$$frac{1}{3}$ 2. 10$\frac{2}{3}$ 3. 15 4. 11 5. 10 ## Get to 170 in GRE Quant #### Online GRE Courses From INR 2999 ### Video Explanation ## GRE Live Online Classes #### Starts Fri, August 26, 2022 ### Explanatory Answer | GRE Averages Practice Question 2 #### Given Data: Average of x and y is 15. i.e., $\frac{x + y}{2}$ = 15 → x + y = 30 #### When will the average be minimum? Because the value of x + y is known, the average of the 3 numbers will be minimum when the value of z is minimized. But it is given in the question that x < z < y and that these numbers are non-negative integers. So, if we assign as low a value as possible to x and z, we will have minimized the value of z. Least possible value for x = 0 and that for z = 1. Consequently y will be 30 so that the sum x + y = 30 Minimum possible average of x, y, and z = $\frac{0 + 30 + 1}{3}$ = $\frac{30}{3}$ = 10$\frac{1}{3}$ #### Choice A is the correct answer #### GRE Online Course - QuantTry it free! Register in 2 easy steps and Start learning in 5 minutes! #### Already have an Account? #### GRE Live Online Classes Next Batch August 26, 2022 ##### Where is Wizako located? Wizako - GMAT, GRE, SAT Prep An Ascent Education Initiative 14B/1 Dr Thirumurthy Nagar 1st Street Nungambakkam Chennai 600 034. India Work @ Wizako ##### How to reach Wizako? Mobile:$91) 94451 58484
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