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The average, median and mode of a list of numbers will be the same when the middle (or mean of the two middle numbers) is equal to the most common number in the list, and that number is also the mean. This assumes that the list has only a single mode.
If you arrange such a list of numbers from least to greatest, the mode value will be grouped at the middle of the list, thus becoming the median as well. The average of the non-median values will be equal to the median/mode.
Given a target mean/median/mode and a list length, you can construct an infinite number of lists that qualify.
Here are some examples:
10 10 10 10 10 (or any list of only one number)
11 12 12 12 12 13
1 2 3 4 5 5 5 6 7 8 9
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Which of the following is not an average mean median mode or range?
range
How can you find mean median and mode for GROUPED data?
Mean, median and mode are ways to find averages. The mode is the most common answer in a set of data. The median the number that is in the middle when the numbers are put in order. The mean is the statical average.
What is the mathematical term of mean median and mode?
They are all forms of average.
What criteria do you apply to judge the merits and demerits of an average?
Mean median mode
What is the distribution when the mean median and mode are the same?
The normal distribution.
What is the mean median and mode of a number?
The mean is the average. The median is the middle. The mode is the most common.
How are the mode and median the same?
Mean, median, and mode are all equal in a normal distribution.
What is the most accurate average for weight mode or median?
mode
Can the mode be larger than the median?
Yes, the mode is the number that occurs most often. The median is the average.
Can the mode and the median have the same value?
Yes. For example, in the sequence {1,2,2,2,2,3,4,7} 2 is the median, and 2 is also the mode.
How can two data sets with different numbers have the same mean median and mode?
(10,10,30,30,30,50,50) (20,20,30,30,30,40,40) These two sets have the same mean, median and mode.
Does mode equals the median normal distribution?
Yes it is. The normal distribution is symmetrical around the mode. Therefore the median has to be the same :)
Which of the following is not an average mean median mode or range?
range
What are three ways of calculating an '' average ''?
Mean Median And Mode
What are three ways to calculate average?
mean median and mode
Write a C plus plus to find median and mode of a number?
The median and mode of any number is the same number. The mode of 5 is 5, as is the median of 5. In other words, you need two or more numbers to determine the median and mode of those numbers.
What is the relation between mean median and mode?
In a symmetric distribution, the mean and the median are the same. Otherwise there is no relation. In symmetric distributions with only one mode, the mode will coincide with the mean and median, but otherwise there is no relation.
