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Give the median of the data set:
9 being an odd number, the median of a set with nine elements is the highest element when the elements are arranged in order. This fifth-highest element is 59.
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Find the median of this set of numbers:
753, 159, 456, 654, 852, 963, 741.
First, order the numbers from least to greatest.
Then, identify the middle number:
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Find the median of this set of numbers:
60, 74, 51, 43, 91,62, 65
First, place the numbers in order from least to greatest:
Then, identify the middle number: 62.
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Shelly took five tests and quizzes this semester in school. If her grades were ,
,
,
, and
, what is her median test score?
First, order the test scores from least to greatest:
Identify the middle test score:
Answer: Shelley's median test score is 92.
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Subtract the range from the median in this set of numbers:
First, order the numbers from least to greatest:
In order to find the range, subtract the smallest number from the greatest:
Now, find the median by identifying the middle number:
Finally, subtract the range from the median:
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Subtract the mode from the median in this set of numbers:
9080, 9008, 9800, 9099, 9009, 9090, 9008
First, order the numbers from least to greatest:
Then, find the mode (the most recurring number): 9008
Then, find the median (the middle number):
Finally, subtract the mode from the median:
Answer: 72.
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Give the median of the following nine scores:
Arrange the scores from least to greatest.
There are an odd number (nine) of scores, so the median of the scores is the one that falls in the center - namely, 72.
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Subtract the median from the mode in this set of numbers:
First, order the numbers from least to greatest:
Find the median—the middle number:
Now, find the mode—the most recurring number:
Finally, subtract the median from the mode:
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What is the median of the following set of numbers:
The median is the number with an equal number of other items both above and below it. There are 9 total numbers in the list, 4 of them are below 7, and 4 of them are above 7.
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What is the median of the values ,
,
,
,
?
The median of a set of values is the value that is in the middle when you rearrange the values from least to greatest. In this set, the values can be rearranged as ,
,
,
,
and the median is
.
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Consider the data set:
What is the difference between the mean of this set and the median of this set?
To get the mean, add the numbers and divide by 8:
To get the median, find the mean of the fourth- and fifth-highest elements (the ones in the middle):
The difference is
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On a math test that the teacher gave her students, the scores were as follows:
What was the median score?
The median is the middle number in a set when the set of numbers is ordered sequentially.
When the intial set is reordered sequentially, you get the bottom set. (The top set is the original ordering of the numbers.)
In this sequential set of 7 numbers, the number 89 is in the fourth posiiton and exactly in the middle. Therefore, it is the mean.
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What is the median of this set of numbers?
To find the median of a set of numbers, you must first reorder them from smallest to largest. Below is the set reordered as such:
The median is the middle number of the set. Here, 57 is the middle number. Therefore, it is the median and the correct answer.
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In Jane's previous six basketball games, she made the following number of baskets:
What is the median number of baskets she made?
The first step to finding the median is to reorder the number of baskets that Jane scored from smallest to largest. This gives us:
The median number is the number in the middle of the set. Given that there are two middle numbers (4 and 6), the average of these numbers will be the median.
The average of 4 and 6 is:
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Find the median of the following test scores from Andy's class;
To find the median of a set, you must order all the scores from lowest to highest.
Then you must find the middle number.
Since this set is even, you have two middle numbers which are and
.
You must average the two which gives you .
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Horatio's soccer team has scored the below number of goals in their last eight games, what is the median number of goals that have been scored?
First we must put the numbers in order from least to greatest.
After the numbers are in order, if it is an odd number of numbers we chose the middle number - that is the median.
In this case, we have an even number of numbers, so we must take the average of the middle two numbers which is given below:
So the median is !
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Horatio's soccer team has scored the below number of goals in their last games:
Horatio calculates the median to be for this set of data. He then goes back and finds that the game where he thought they scored 9 goals; his team actually scored
goals - how will this change the median if he replaces the
with
in the data set?
When finding the median we must first reorganize the numbers from least to greatest, here is what the numbers are before and after they were organized.
Given:
After Organized from least to greatest:
In order to find the Median for an even number of numbers (we have numbers in this set) we take the average of the middle two numbers.
Here we would add which is
, we then divide by two to find the mean which is
.
If we were to change the to an
, this does not impact the middle two numbers, they will remain
and
which means the Median will remain
.
The middle two numbers are still and
.
The Median will remain unchanged.
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Given the following data sets of data, identify how the median would change if an additional data point of was added to the new set?
Data Set:
New Data Set:
First, we need to find the median for the first data set:
We must put the numbers in order from least to greatest:
Since there is an even number of items in the data set, we will take the average of the middle two numbers to find the median.
The median for this data set is:
Next, we must find the new median for the new data set:
Again, we must put the numbers in order from least to greatest:
Since there is an odd number of items, we can choose the middle number to be the median.
In this case, the middle number is , which means the new median is:
Therefore, we know that the median will decrease by .
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Use the following data set to answer the question:
Find the median.
To find the median of a data set, we will arrange the numbers in ascending order, then we will find the number located in the middle of the set.
So, given the set
we will first arrange them in ascending (from smallest to largest) order. We get
Now, we will locate the number in the middle of the set.
We can see that it is 5.
Therefore, the median of the data set is 5.
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