GMAT Maths Questionbank | Statistics & Averages

'x' is common to both the sets of numbers. Therefore, 'x' will not impact the average of the second set of numbers.

Step 1: Find out the sum of the 4 numbers other than x in both scenarios.
Step 2: Apportion the difference between the two sums obtained in step 1 equally to all the 5 numbers to find the difference in average.
Step 3: Add or subtract the difference to the average of the first set, i.e., 62 to find the answer.
The explanatory answer to this GMAT Averages practice question walks you through two different methods to find the answer. An easy GMAT 600 level quant question.

This GMAT practice question is an Averages question - an easy GMAT 550 to 600 level quant question.

The easiest way to solve this averages problem is to assume values for the 5 consecutive integers. Do not look too far. Let the 5 numbers be 1, 2, 3, 4, and 5. Determine values for 's', and 'a' with respect to the values assumed and apply it to the set of 9 consecutive integers starting from (s + 2).

This GMAT question is a statistics and averages question - An easy GMAT 525 level quant practice question.

The question is an ideal candidate to apply and consolidate the standard framework to solve an averages question.

Step 1: Find the sum of the weights of the 30 friends after deducing the average weight of the 30 friends.
Step 2: Compute the sum of the weights of 30 friends and the football coach from the information about the average given in the question.
Step 3: The difference between answers obtained in steps 2 and 1 is the weight of the coach.

This GMAT question is an easy averages question that can be solved using the standard framework to solve GMAT averages problems.

Step 1: Compute the sum of wages received for all 15 days using the verage wages for 15 days.
Step 2: Compute sum of wages for first 7 days using average wages for the first 7 days.
Step 3: Compute sum of wages for last 7 days using average wages for the last 7 days.
The sum of the second and third step gives the sum of wages for 14 of the 15 days. Compute the difference between wages for 15 days and 14 days to find wage on 8th day.

This GMAT averages problem is a vey easy question.

Step 1: Compute sum of all 5 numbers using the average of the 5 numbers.
Step 2: Compute sum of 3 of the 5 numbers using the average of the 3 numbers.
Step 3: The difference between values obtained in step 1 and step 2 will give the sum of the remaining 2 numbers. Use this information to compute the average of the remaining two numbers.

Step 1: Set up the standard framework table and populate it with available data about number of students and their average age before the two students join the group and after two students join the group
Step 2: Compute sum of ages of the group before and after the students join the group
Step 3: The difference between the sum of the ages after the 2 students join and that before the 2 students join gives the sum of the ages of the 2 new students
Step 4: Divide the value computed in Step 3 by 2 to find the answer.

Step 1: Decoding the Question: Standard deviation is a non-negative number. So, it can either be zero or positive.

So, the question boils down to figuring out whether 's' is zero or is it positive.
Step 2: Evaluate statement 1 alone to determine whether 's' is zero or positive
Step 3: Evaluate statement 2 alone to determine whether 's' is zero or positive
Step 4: If the statements are independently not sufficient, combine the statements to determine whether answer is C or E

Step 1: To maximize the average of the medians of the 5 sets, we have to maximize the median in each set.
Step 2: Try to divide the given numbers into sets of 9 each such that the median is as high as possible. Start with the set where the 5 largest numbers are 41, 42, 43, 44, and 45.
Step 3: Note, to maximize median in each set, it is imperative that the first 4 numbers of each set is as small as possible so that the 5 larger numbers in any set gets maximized.
Step 4: After you have identified the maximized medians for each set, compute the average of the medians to find the answer.

Step 1: Compute the sum of the 5 integers using information about the average of these numbers.
Step 2: Because the range is 10, the largest number is 10 more than the smallest number.
Step 3: If the largest number has to be maximized, the remaining 4 numbers have to be minimized.
Step 4: Find the condition that will minimize the remaining 4 numbers and consquently find the maximum value of the largest of the 5 numbers.

Step 1: Compute the sum of the incentives.
Step 2: Median incentive is $7000. So, the 3rd highest is $7000.
Step 3: Only mode is $12,000. Because third highest is $7000, highest and second highest have to be the same value = $12,000
Step 4: Now that we have details about the incentives for the 3 highest salesman and we also know the sum of their incentive, we can find the sum of the incentives of the two salesmen who got the least incentive.
Step 5: Use the information that there is only one mode to find the lowest incentive.
Step 6: Compute the difference between the highest and lowest incentives - essentially the range of incentives.

Step 1: The given question is an "IS" question. The answer should be yes or no. Data is sufficient when we get a definite yes or definite no.
Step 2: Evaluate statement 1 alone. We know the numbers are in GP. Check whether 'b' is the median of the 3 numbers. Points to check are - will 'b' be the median if the common ratio is negative.
Step 3: Evaluate statement 2 alone. Look for a counter example.
Step 4: Combine the statements if you did not get a conclusive answer using either statements alone.

Step 1: The given question is a "What is" question. The answer is a value. Data is sufficient if we get a unique value for the standard deviation of the 4 numbers.
Step 2: Evaluate statement 1 alone. Will the sum of the 4 numbers help find the SD? If not, will it help in determining the average of the 4 numbers?
Step 3: Evaluate statement 2 alone. Sum of squares alone is of not much use.
Step 4: Combine the statements. Revisit formula (alternative method) to find SD and determine whether we have a unique value for the SD of the 4 numbers.