GRE® Math Practice | Statistics & Averages #4

GRE Questions | Weighted Mean - Compute Weightage

The GRE maths sample question given below is a problem solving question in statistics. This sample question is a GRE medium difficulty math question.

Question 4: The average weight of the women in a group is 60 kg and that of the men is 72 kg. If the average weight of the group is 68 kg, what is the ratio of women to men in the group?

1. 1 : 3
2. 2 : 3
3. 3 : 2
4. 1 : 2
5. 2 : 1

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Explanatory Answer | GRE Averages Practice Question 4

Given Data

Average weight of women in the group = 60 kg
Average weight of men in the group= 72 kg
Average weight of the entire group = 68 kg

Let the number of men in the group be m.
Let the number of women in the group be w.
Then, the total number of people in the group is (m + w)

Standard Framework to Compute the Ratio:

Number Average Total Sum
w 60 60w
m 72 72m
(w + m) 68 68(w + m)

Total weight of the group = Total weight of men in the group + Total weight of women in the group
68(w + m) = 72m + 60W ......(1)

Simplifying equation (1), 68m + 68w = 72m + 60w
68w – 60w = 72m – 68m
8w = 4m
$$frac{w}{m}$ = $\frac{4}{8}$ → $\frac{w}{m}$ = $\frac{1}{2}$ Ratio of number of women to men in the group w : m :: 1 : 2 Choice D is the correct answer Note: Make sure you watch the video explanation to learn how to solve this question using the rule of alligation. Using the rule of alligation, this question can be solved in less than 20 seconds. 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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