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Is the median number always the middle number of the data? Example: 8,12,5,9,11 The median is 5 or 9? According to the 3rd grade mather teacher the answer is 9. I am not so sure about that, I think it is 5. Please confirm one way or another Thanks Alex

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  • alexunderpar Sep 28, 2009

    I DID SEE ANY SOLUTION TO MY QUESTION. SINCE THIS IS MY FIRST TIME ON THIS SITE I MAY NOT BE DOING THIS CORRECTLY

    ALEX

  • Anonymous Mar 17, 2014

    What if there if two numbers in the middle how do you try to find the median

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  • 292 Answers

Hi Alex

  • First of all you have to arrange them in increasing OR decreasing order. When you rearrange they are: 5, 8, 9, 11, 12
  • Now look which number is in the middle. That is the median.
  • So the answer is 9. The teacher is right.

If this answer helped you, please give a rating.
Cheers
luciana44

Posted on Sep 29, 2009

Testimonial: "Luciana, I see what you mean. The key is that you need to arrange them first, increasing or decreasing order. Thank you for clearing this up for us. "

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What is medium of 2,4,6,6,7,8,10,11,13


https://www.easycalculation.com/statistics/mean-median-mode.php

The mean (average) is the sum divided by the number of items regardless of individual values. Here is is 7.4444, rounded off.

The median is the middle number in the group, listing in ascending order. You have 9 items. The fifth one as four above it and four below it. It is a 7. (A selected group of numbers is referred to as a data set. If taken from a larger group, the selection is referred to as a subset.)

The mode is the most frequently listed number. Only the 6 repeats itself in this example. That makes it the most frequently repeated number.

Understanding How to Calculate the Mean Median and Mode

Sep 17, 2017 | Computers & Internet

1 Answer

What is the median math deffinition


middle number

To find the Median, place the numbers you are given in value order and find the middle number. Example: find the Median of {13, 23, 11, 16, 15, 10, 26}. Put them in order: {10, 11, 13, 15, 16, 23, 26} The middle number is 15, so the median is 15. (If there are two middle numbers, you average them.)

Mar 04, 2015 | Computers & Internet

1 Answer

How to calculate median ?


Arrange the date in ascending order (sort it). Find the element that is in the middle. If the number of data elements is odd, there a true middle element and that is the median.
If the number of data elements is even there is not one but two middle elements. Take the average of their values, that will be the value of the median.
Now, imagine that a (virtual) data element has been inserted between the two middle elements, with its value equal to the average of the two middle elements.

Jun 28, 2014 | Casio FX-570MS 2-Line Display Scientific...

1 Answer

Mean, median, mode


Mean= average =(sum of data values)/(number of data values)
Mode is the most frequent data value.
Median: Sort the data in ascending order. The element in the middle is the median.
If the number of data is odd, there will be one MIDDLE element. It is the median.
If the number of data is even, there will be two elements in the middle. Add the values of these middle elements and divide by 2. The result will be the median. It is not part of the data.

Apr 22, 2014 | Texas Instruments TI-34II Explorer Plus...

1 Answer

TI-34 mean, median, mode


Mean= average =(sum of data values)/(number of data values)
Mode is the most frequent data value.
Median: Sort the data in ascending order. The element in the middle is the median.
If the number of data is odd, there will be one MIDDLE element. It is the median.
If the number of data is even, there will be two elements in the middle. Add the values of these middle elements and divide by 2. The result will be the median. It is not part of the data.

Apr 22, 2014 | Texas Instruments TI-34 Scientific...

1 Answer

Math mean median mode


Mean, median, mode

You don't need the calculator for that. Sort the data in ascending order.

Mode

Find the most frequent data element (the one repeated the most) in the set. That is the mode. If you have several elements that share the same highest frequency all of them are modes.
Median
Count the number of elements in the set.
If the number of elements is ODD the median is the element that happens to hold the middle place in the ordered set.
If the number of data elements is EVEN, then there is not one middle element, but 2. Call them if you wish MIDLeft, and MIDRight
Take the values of these two elements and calculate their average.
Median_value =(MIDLeft+MIDRight)/2
That average is the value of the median.
You can imagine the median as a virtual (not really there) data element inserted between the two middle elements and having as value the average of the two middle elements
Your set would look like the following
{Min_value, ..., MIDLeft_value, Median_value, MIDRight_value, ..., Max_value}

Now, was there something about fractions?

Dec 18, 2013 | Computers & Internet

1 Answer

Median and mode


You don't need the calculator for that.
Order the data in ascending order.
Mode
Find the most frequent data element (the one repeated the most) in the set. That is the mode. If you have several elements that share the same highest frequency all of them are modes.
Median
Count the number of elements in the set.
If the number of elements is ODD the median is the element that happens to hold the middle place in the ordered set.
If the number of data elements is EVEN, then there is not one middle element, but 2. Call them if you wish MIDLeft, and MIDRight
Take the values of these two elements and calculate their average.
Median_value =(MIDLeft+MIDRight)/2
That average is the value of the median.
You can imagine the median as a virtual (not really there) data element inserted between the two middle elements and having as value the average of the two middle elements
Your set would look like the following
{Min_value, ..., MIDLeft_value, Median_value, MIDRight_value, ..., Max_value}


Dec 08, 2013 | Sharp EL-2630P Calculator

1 Answer

Math mean median mode


The question is incomplete.
The mean, also called the average is defined as
mean= (sum of the data values)/(number of data elements)
Mode = the most frequent data value (the one that is most repeated)
To find the median:
  1. Order the data values in ascending order (sort them from the smallestr to the largest), and
  2. Locate the data value that is in the middle.
  3. If the number of data values id ODD (not a multiple of 2) there is only one middle element. That is the median.
  4. If the number of data elements is EVEN (multiple of 2), there is not one middle element but two.
  5. The median is the average of the two middle element values

    1. Median =( left of middle value +right of middle value)/2
    2. Imagine this median value to be inserted between the two middle elements
Example 1
Data values 12.5, 13, 13., 13, 13.5, 14, 19.5, 19.5, 20
Mean =(12.5+13+13+13+13.5 +14+19.5+19.5+20)/9=?
Mode= most frequent value. Here it is 13 (repeated 3 times)
There are 9 values, an odd number. Middle element is the 5th ( 13.5)
Median=13.5

Example 2
Data values 12.5, 13, 13., 13, 13.5, 14, 19.5, 19.5, 20, 25
Mean =(12.5+13+13+13+13.5 +14+19.5+19.5+20 + 25)/10=?
Mode= most frequent value. Here it is 13 (repeated 3 times)
There are 10 values, an even number. Middle element is not among the values. There are two middle elements (the 5th and the 6th) or
The value of the median is the average of the 5th and 6th elements or
Value of Median =(13.5+14)/2=?


Nov 21, 2013 | Computers & Internet

1 Answer

How to calculate median


Sort the data into ascending or descending order. If there's an odd number of data points then the median is the one in the middle. If there's an even number of data points then the median is the average of the two in the middle. Add the two together then divide by 2.

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1 Answer

HOW TO FIND MEDIAN VALUE FOR A SET OF NUMBERS


The median is $250,000.

Arrange the data in order. In this case (dropping the thousands):
140, 140, 167, 250, 315, 343, 345 .
Since the list has an odd number of elements, simply pick the middle one. If the list has an even number of elements, average the two middle ones.

Aug 22, 2012 | HP 12c Calculator

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