Mean
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GRE Quantitative Reasoning › Mean
What is the mean of
Explanation
Step 1: Find the sum of the numbers
Step 2: Find how many numbers
There are numbers..
Step 3: Divide the sum by how many numbers they are...This division gives us the mean..
What is the mean of:
Explanation
Step 1: Find the sum of the numbers
Step 2: Count how numbers there are:
There are numbers..
Step 3: Divide Sum by how many numbers
What is the mean of:
Explanation
Step 1: Take the sum of all numbers in the set...
Step 2: Count how many elements are in the set...
There are numbers
Step 3: To find the mean, divide the sum by the number of elements..
The mean is
What is the mean of
Explanation
Step 1: Find the sum of the numbers in the set...
Step 2: Count how many numbers are in the set..
There are 10 numbers...
Step 3: Divide the total sum by how many numbers...
So,
What is the mean of
Explanation
Step 1: Find the sum of all the terms
Step 2: Count how many numbers are in the set
There are numbers.
Step 3: Divide the sum (Step 1) by how many numbers in the set (Step 2)
If average of and
is
and
is
what is the average of
?
Explanation
If the average of and
is
, then the sum must be
.
If we add the sum of we get
or
.
To find the average of the three terms, we divide and
to get
.
What is the mean of ?
Explanation
Step 1: Find the sum of all numbers:
Step 2: Count how many numbers are in the question..
We have numbers.
Step 3: Divide sum by how many numbers
What is the mean of ?
Explanation
Step 1: Find the sum of all the numbers.
Step 2: Divide the sum by how many numbers there are. There are 11 numbers.
The mean (average) of all numbers above is .
What is the average of the first ten prime numbers?
Explanation
The first ten prime numbers are . Prime numbers have two factors:
and the number itself. Then to find mean, we add all the numbers and divide by
.
If the average of seven consecutive numbers is , what is the value of the second number in the set?
Explanation
There are two methods.
Method 1:
Since the average of consecutive number is
, we can express this as:
Cross-multiply
Subtract
on both sides then divide both sides by
Since we are looking for the second term, just plug into expression
. That means answer is
or
.
Method 2:
Since the average of consecutive number is
, this means the median is also
. Consecutive means one after another and with each term having the same difference, we know the mean equals the median. Since there are
terms, the median will have
terms left and right of it. Then, the series will go
. The second term is
.