Write a set of five numbers in which 8 is the mean, median and mode for the set

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There are an infinite number of solutions. One solution is (6, 8, 8, 8, 10}.

Posted on Mar 28, 2014

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Posted on Jan 02, 2017

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Are you dealing with a set of individual numbers ? How is the data being presented to you ? How exactly you find these quantities will depend on how they are given to you. The descriptions below are based on the case of a set discrete individual numbers.

mean (average) = sum of a set of numbers / the number of numbers that there are

mode = that number in a set of numbers which occurs most often

median = that number at which the sum of the smaller numbers equals the half of the sum of all of the numbers

"The "range" is just the difference between the largest and smallest values"

see Mean Median Mode and Range

and many other examples on the internet

25.February.2015

mean (average) = sum of a set of numbers / the number of numbers that there are

mode = that number in a set of numbers which occurs most often

median = that number at which the sum of the smaller numbers equals the half of the sum of all of the numbers

"The "range" is just the difference between the largest and smallest values"

see Mean Median Mode and Range

and many other examples on the internet

25.February.2015

Feb 25, 2015 | Computers & Internet

I could give you the answer but this website explains very nicely, how to calculate each type of average. The second example they use fits your list of numbers better than the first.

Mean Median Mode and Range

Mean Median Mode and Range

Jan 10, 2015 | Computers & Internet

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.

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...

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.

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...

There are an infinite number of solutions. One solution is {7, 8, 8, 8, 9}.

Mar 28, 2014 | Computers & Internet

The mean is 7, the median is 8, and the mode is 8.

Mar 25, 2014 | Computers & Internet

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.

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.

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,

Now, was there something about fractions?

Dec 18, 2013 | Computers & Internet

Consider these numbers: 2,3,5,7,13,15,25

Mean: the arithmetic average of the number group, so 70/7 = 10

Median: that value with as many numbers on one side as on the other, so 7

Mode: the most often occurring value, so there is no mode to this group of numbers, which can occur.

Mean: the arithmetic average of the number group, so 70/7 = 10

Median: that value with as many numbers on one side as on the other, so 7

Mode: the most often occurring value, so there is no mode to this group of numbers, which can occur.

Dec 18, 2013 | Computers & Internet

Mean: (60+60+89+90+93+94)/6 = 81

Median: Middle number, in this case between 89 and 90: 89.5

Mode: Most common number: 60

Range: Highest number minus lowest number: 94-60 = 34

Median: Middle number, in this case between 89 and 90: 89.5

Mode: Most common number: 60

Range: Highest number minus lowest number: 94-60 = 34

Dec 15, 2013 | Computers & Internet

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: **

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=?

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)

- Order the data values in ascending order (sort them from the smallestr to the largest), and
- Locate the data value that is in the middle.
- If the number of data values id ODD (not a multiple of 2) there is only one middle element. That is the median.
- If the number of data elements is EVEN (multiple of 2), there is not one middle element but two.
- The median is the average of the two middle element values
**Median =( left of middle value +right of middle value)/2****Imagine this median value to be inserted between the two middle elements**

Data values 12.5, 13, 13., 13,

There are 9 values, an odd number. Middle element is the 5th ( 13.5)

Example 2

Data values 12.5, 13, 13., 13, 13.5, 14, 19.5, 19.5, 20, 25

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

Nov 21, 2013 | Computers & Internet

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