Basic Statistics - Basic Math
Card 1 of 344
For her calculus class, Marie has scored
,
, and
on three of her tests so far. What is the minimum score Marie needs to receive on her 4th test in order to have an average of
?
For her calculus class, Marie has scored ,
, and
on three of her tests so far. What is the minimum score Marie needs to receive on her 4th test in order to have an average of
?
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To find the average of a set of numbers, add up the individual values and divide by the total number of values you have.
For the test scores, we can set up the following equation with x being the score on the fourth test:

Now, solve for x



To find the average of a set of numbers, add up the individual values and divide by the total number of values you have.
For the test scores, we can set up the following equation with x being the score on the fourth test:
Now, solve for x
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Find the mean of the following set of numbers: 
Find the mean of the following set of numbers:
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To find the mean of a set of numbers, you must add them all and then divide their sum by the number of total members of the set.
and there are
numbers in the set, so we divide
by
,

giving us a mean of
.
To find the mean of a set of numbers, you must add them all and then divide their sum by the number of total members of the set.
and there are
numbers in the set, so we divide
by
,
giving us a mean of .
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In her last
basketball games, Jo scored
points,
points,
points,
points, and
points. How many points per game does she score on average?
In her last basketball games, Jo scored
points,
points,
points,
points, and
points. How many points per game does she score on average?
Tap to reveal answer
To find the average, add up all the values you are given and divide by the number of values there are.
18 + 12 + 22 + 24 + 14 = 90, the sum of her total points.
And 90/5 = 18, which is her average.
To find the average, add up all the values you are given and divide by the number of values there are.
18 + 12 + 22 + 24 + 14 = 90, the sum of her total points.
And 90/5 = 18, which is her average.
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Judy received these scores on her last four math tests:
,
,
, 
Her teacher calculates the final grade from the mean of five tests, which are all weighted equally. If Judy gets a
on her fifth test, what will be her overall grade in the class?
Judy received these scores on her last four math tests:
,
,
,
Her teacher calculates the final grade from the mean of five tests, which are all weighted equally. If Judy gets a on her fifth test, what will be her overall grade in the class?
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To find Judy's overall grade, you must find the mean of all five test scores.
Add together all five scores:

Then divide the sum by the total number of scores:

is Judy's overall score in the class.
To find Judy's overall grade, you must find the mean of all five test scores.
Add together all five scores:
Then divide the sum by the total number of scores:
is Judy's overall score in the class.
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Jimmy's dog had 6 puppies. He weighed the puppies right after they were born. Their weights were 657 grams, 789 grams, 456 grams, 554 grams, 635 grams, and 446 grams. In grams, what was the mean weight of the puppies?
Jimmy's dog had 6 puppies. He weighed the puppies right after they were born. Their weights were 657 grams, 789 grams, 456 grams, 554 grams, 635 grams, and 446 grams. In grams, what was the mean weight of the puppies?
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The mean of a set of numbers is the same as its average.

So then, to find the mean weight for the puppies,

The mean of a set of numbers is the same as its average.
So then, to find the mean weight for the puppies,
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Danielle tracked how much she paid per meal for the past five meals. She paid
. What was the average she paid per meal?
Danielle tracked how much she paid per meal for the past five meals. She paid . What was the average she paid per meal?
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To find the average (also known as the mean), we use the following formula:

So, for the numbers that are given in the question, we can set up this equation:


To find the average (also known as the mean), we use the following formula:
So, for the numbers that are given in the question, we can set up this equation:
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If the average of
numbers is
and the average of
numbers is
, what is the average of all the numbers?
If the average of numbers is
and the average of
numbers is
, what is the average of all the numbers?
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To find the average of all the numbers, we need to find the sums from each average. Since the average of
numbers is
, that means the sum is
.
The average of
numbers is
means the sum is
.
Then, the total sum is
which is the sum of all the numbers.
So to find average, we do
divided by
to get
.
To find the average of all the numbers, we need to find the sums from each average. Since the average of numbers is
, that means the sum is
.
The average of numbers is
means the sum is
.
Then, the total sum is which is the sum of all the numbers.
So to find average, we do divided by
to get
.
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If the average of
numbers is
and the average of
numbers is
, what was the number added to increase the average?
If the average of numbers is
and the average of
numbers is
, what was the number added to increase the average?
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If the average of
numbers is
, then the sum is
.
We also know the average of
numbers is
. We can set-up an equation.
.
The expression in the numerator represents the sum. By cross-multiplying, we get
or
as the final answer.
If the average of numbers is
, then the sum is
.
We also know the average of numbers is
. We can set-up an equation.
.
The expression in the numerator represents the sum. By cross-multiplying, we get
or
as the final answer.
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Find the mean for the following set of numbers:
,
,
,
, and 
Find the mean for the following set of numbers:
,
,
,
, and
Tap to reveal answer
The mean is the same as the average. To find the mean, use the following formula:




The mean is the same as the average. To find the mean, use the following formula:
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Find the mean for the following set of numbers:
,
,
, and 
Find the mean for the following set of numbers:
,
,
, and
Tap to reveal answer
The mean is the same as the average. To find the mean, use the following formula:





The mean is the same as the average. To find the mean, use the following formula:
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Find the mean for the following set of numbers:
,
,
, and 
Find the mean for the following set of numbers:
,
,
, and
Tap to reveal answer
The mean is the same as the average. To find the mean, use the following formula:




The mean is the same as the average. To find the mean, use the following formula:
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Find the mean of the following set of numbers:

Find the mean of the following set of numbers:
Tap to reveal answer
Find the mean of the following set of numbers:

Finding the mean of a number set is essentially finding the average.
Begin by summing the numbers, then divide by the total number of terms.

Now, since there are 12 terms in the series, divide by 12

So our mean is 104.5
Find the mean of the following set of numbers:
Finding the mean of a number set is essentially finding the average.
Begin by summing the numbers, then divide by the total number of terms.
Now, since there are 12 terms in the series, divide by 12
So our mean is 104.5
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Find the mean of the following data set:

Find the mean of the following data set:
Tap to reveal answer
Find the mean of the following data set:

Whenever we are working with a data set, it can be helpful to put the terms in order:

Now that our terms are in order, we can do all sorts of things with them.
In this case, we need to find the mean. This is essentially the same as the average.
Begin by finding the sum of our terms.

Now, because we have ten terms, we need to divide by 10

Find the mean of the following data set:
Whenever we are working with a data set, it can be helpful to put the terms in order:
Now that our terms are in order, we can do all sorts of things with them.
In this case, we need to find the mean. This is essentially the same as the average.
Begin by finding the sum of our terms.
Now, because we have ten terms, we need to divide by 10
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What is the median of the following numbers?
12,15,93,32,108,22,16,21
What is the median of the following numbers?
12,15,93,32,108,22,16,21
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To find the median, first you arrange the numbers in order from least to greatest.
Then you count how many numbers you have and divide that number by two. In this case 12,15,16,21,22,32,93,108= 8 numbers.
So 
Then starting from the least side of the numbers count 4 numbers till you reach the median number of 
Then starting from the greatest side count 4 numbers until you reach the other median number of 
Finally find the mean of the two numbers by adding them together and dividing them by two 
to find the median number of
.
To find the median, first you arrange the numbers in order from least to greatest.
Then you count how many numbers you have and divide that number by two. In this case 12,15,16,21,22,32,93,108= 8 numbers.
So
Then starting from the least side of the numbers count 4 numbers till you reach the median number of
Then starting from the greatest side count 4 numbers until you reach the other median number of
Finally find the mean of the two numbers by adding them together and dividing them by two
to find the median number of .
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Find the median of the following set of numbers: 3, 5, 18, 6, 3.
Find the median of the following set of numbers: 3, 5, 18, 6, 3.
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The median of a set of numbers is the number that falls in the middle when the numbers are arranged from smallest to largest: 3, 3, 5, 6, 18. The number that falls exactly in the middle of this set is 5, which is the median.
The median of a set of numbers is the number that falls in the middle when the numbers are arranged from smallest to largest: 3, 3, 5, 6, 18. The number that falls exactly in the middle of this set is 5, which is the median.
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Determine the median, from the set of numbers:

Determine the median, from the set of numbers:
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First put your set in numerical order, from smallest to largest

Median refers to the number in the middle, so if you count in from both sides the middle number of the set is 
First put your set in numerical order, from smallest to largest
Median refers to the number in the middle, so if you count in from both sides the middle number of the set is
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We are given the following number set:
8, 6, 10, 15, 7, 15 ,5, 14, 9, 5, 19, 18, 9, 16, 9
Find the median.
We are given the following number set:
8, 6, 10, 15, 7, 15 ,5, 14, 9, 5, 19, 18, 9, 16, 9
Find the median.
Tap to reveal answer
The median is the middle number of an ordered number set. By ordered number set, I mean that the numbers are arranged from lowest to largest. In this problem, we can arrange the number set from lowest to largest so that it is rewritten as
5, 5, 6, 7, 8, 9, 9, 9, 10, 14, 15, 15, 16, 18, 19
It looks like the middle-most number is 9. Therefore, 9 is the median.
The median is the middle number of an ordered number set. By ordered number set, I mean that the numbers are arranged from lowest to largest. In this problem, we can arrange the number set from lowest to largest so that it is rewritten as
5, 5, 6, 7, 8, 9, 9, 9, 10, 14, 15, 15, 16, 18, 19
It looks like the middle-most number is 9. Therefore, 9 is the median.
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Find the median of the following numbers:

Find the median of the following numbers:
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If you reorganize the numbers and put them in ascending order, you get:
.
The median is the number which falls in the middle of a set. Our set has
entries therefore to find the true middle of the set we will need to take entry five and six and find its mean. We do this by adding entry five and entry six together and then dividing by two:

Therefore the median of our set is
.
If you reorganize the numbers and put them in ascending order, you get:
.
The median is the number which falls in the middle of a set. Our set has entries therefore to find the true middle of the set we will need to take entry five and six and find its mean. We do this by adding entry five and entry six together and then dividing by two:
Therefore the median of our set is .
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Joanna had 6 history tests this semester. Her scores on the tests were
.
What was her median score?
Joanna had 6 history tests this semester. Her scores on the tests were .
What was her median score?
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To find the median, first put all the numbers in numerical order.

The median is our middle number. Because this set has 6 numbers, our median will fall in between 88 and 92. Average those two numbers to find the median.

To find the median, first put all the numbers in numerical order.
The median is our middle number. Because this set has 6 numbers, our median will fall in between 88 and 92. Average those two numbers to find the median.
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Tom has not been doing very well in his algebra class. Recently, he has received test scores of
,
,
,
,
, and
.
What is the median of Tom's test scores?
Tom has not been doing very well in his algebra class. Recently, he has received test scores of ,
,
,
,
, and
.
What is the median of Tom's test scores?
Tap to reveal answer
The correct answer to this question is 50. In order to approach the problem, you must first start by placing the numbers in order from least to greatest: 27, 34, 44, 56, 67, and 84.
Since there are six numbers in the set, there is not a single number in the middle of the set to be the median.
In this case, we have two numbers in the middle of the set: 44 and 56.
In order to obtain the median, we must take the average of these two numbers.
We do this by completing the following equation:

The correct answer to this question is 50. In order to approach the problem, you must first start by placing the numbers in order from least to greatest: 27, 34, 44, 56, 67, and 84.
Since there are six numbers in the set, there is not a single number in the middle of the set to be the median.
In this case, we have two numbers in the middle of the set: 44 and 56.
In order to obtain the median, we must take the average of these two numbers.
We do this by completing the following equation:
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