# Mean Median Mode Questions for GMAT Quantitative Reasoning Section

Not just in academics, the field of statistics has been one of the most important aspects of the economy on a global level. The candidates who aspire to become the next-generation world leaders need to have the basic knowledge of all the aspects related to a business and its operation and one such important aspect is statistics. Your knowledge of stats is tested by GMAT (Graduate Management Admission Test), an international entry-level exam which is conducted for admissions to MBA and other postgraduate management courses in top business schools of the world. Within the quantitative section of the GMAT exam, the students often face difficulties in solving Mean Median Mode questions. Through this blog, we will take a look at some of the most important questions of GMAT statistics.

## Mean

Also called average or arithmetic mean, it is calculated by adding up all the observations and dividing the obtained sum by the total number of observations. It contains one of the most primary and basic questions out of the total Mean Median Mode questions. Given below is one important sample question.

Question: The mean age of 10 employees is 18 years. Subsequently, 2 employees join the group which increases in mean age by 2 years. What is the new mean age of new employees?

Solution: As we know that the mean or the average age of 10 employees is 18 years. Therefore, the sum of their ages is equal to 18 x 10 = 180.

After the addition of two more employees, the mean age of 12 employees comes up to be 18 + 2 = 20. So the sum of ages of all the employees is 12 x 20 = 240.

Now, to determine the mean ages of the new employees, we need to subtract the mean age of 12 employees with that of the mean age of 10 employees, which means 240 – 180 = 60.

As we have gotten the sum of the ages of the two additional employees, we are going to find the mean age by dividing the sum with the number of employees, that is, 60/2 = 30.

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## Median

The median of a given data is the exact middle value when the observations or elements in question are arranged either in ascending or descending order. Out of the total Mean Median Mode questions that come in GMAT, determining a median is not as tough as it seems, once you through the concept.

Question: Find the median of the given set {2, 4, 3, 6, 77, 11, 50, 30}

Solution: Clearly, the given set has not been arranged chronologically. The sorted order of these numbers should be {2, 3, 4, 6, 11, 30, 50, 77}

As we can see the total elements of this set are even in number and no such exact median can be found out. So we will have to take the middle two values and determine their mean value to calculate the median of the given set.

The middle values are 6 and 11. To find out the mean, add 6 and 11, which mean, 6 + 11 = 17

Divide the sum of the values by 2, that is, 17 / 2 = 8.5

Therefore, the median of the given set is 8.5

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## Mode

The mode is the most occurred or frequent value in a given set. Mode questions are some of the simplest out of all the Mean Median Mode questions in GMAT, but require a lot of practice. Below is one such sample mode questions for you.

Question: Consider the data set {2, 3, 4, 5, 6, 8, 4, 7, 4, 7, 4}.

Solution: In this given data set, we clearly observe that the digit 4 is appearing four times and is the most frequently occurring digit in the entire set.

Therefore, the mode of this data set is equal to 4.

We hope that we provided you with all the important Mean Median Mode questions for GMAT exam you definitely need to know about. If you have decided to study abroad and are looking for a good GMAT coaching in Delhi, your search ends here at Leverage Edu. Through our expert faculty members and numerous practice test, we help you ace the GMAT exam like a pro and also provide you with step-by-step career guidance throughout your professional journey. Sign up for 30 minutes of the free career counselling session and get the answers to all your questions.