No.
There is only 1 middle value.
If there are an odd number of elements in the data set, the median is the middle one;
Otherwise there are an even number of elements in the data set and the median is the mean average of the middle two (add them together and divide by 2).
The median value can occur more than once in the data set, eg in {2, 5, 5, 5, 6, 7} the median is 5 ((5 + 5)/2 = 5) with a frequency of 3, but it is still only one value.
No and a single number cannot have a median either you need a series (at least two) to have a median.
Median is the middle number in a group of numbers. If there more than one middle number, the median is either shown as average of the two numbers in the middle or shown as both the numbers. The median in 23 24 26 29 is 25 or {24;26}.
The median of a set of data is used for similar purposes as the mean. They both give you a middle number that represents what the set of data fluctuates around. While the mean gives you the exact center, the median simply gives you the middle piece of data. The following is an example of why the median is sometimes more helpful than the mean: Consider a class of 5 students that take a test that is scored on a scale of 0 to 500. The scores of the students are as follows: 1) 25 2) 120 3) 102 4) 248 5) 500 The mean of the scores is (25+120+102+248+500)/5 = 199 The median of the scores is 120 Looking only at the mean, the teacher may get the impression that the students are more skilled than they really are, since the average score of the class is 40% of the highest possible score. However, one student scored only 49 points higher than the mean and the other 3 didn't get within 70 points of it. Looking at the median, the teacher sees that another accurate representation of the scores is 120. This is only 24% of the highest possible grade and better represents what most of the class got. Unlike the mean, the median wasn't set deceivingly high by the one student with a perfect score.
There are infinitely many possible sets. One such is {6,7,14}
You are right. 1 is the median.The median of a set of data is found by arranging the data in increasing or decreasing order. So, we can arrange the items: 0, 1, 1, 1, 4, 4If the number of items of data is even, as it is in this case, then the median is the average (or mean) of the two middle numbers. So, the median is (1 + 1)/2 = 2/2 = 1If the number of items of data is odd, then the median is the middle number in the ordered set. For example the median of the data 1, 3, 3, 5, 6, 8, 9 is 5, because 5 is in the middle.It is also the mode. The mode of a set of data is the one item of data that occurs most often. 1 has the highest number of frequency in this sample. Thus 1 is the mode also.
If you have an even set of data then there are two middle numbers or medians. Average those two and create a median. Example: 2,3,4,7,9,10 4 and 7 are in the middle. (4+7)/2=5.5 5.5 is the median even though it is not one of the numbers in the data set.
Yes. If the predominant data are higher than the median, the mean average will be higher than the median average. For example, the median average of the numbers one through ten is five. The mean average is five and one-half.
One set of data can have only one median.
A single, extremely large value can affect the median more than the mean because One-half of all the data values will fall above the mode, and one-half will fall below the mode. In a data set, the mode will always be unique. The range and midrange are both measures of variation.
No and a single number cannot have a median either you need a series (at least two) to have a median.
The median of a data set comprising only one value is that value. So the median of 2.5 is 2.5.
No, it is not necessarily true that the median is always one of the data points in a set of data. The median is found by arranging the data in numerical order and selecting the middle value. This value might be one of the data points, but it could also be the average of two data points if there is an even number of values in the set.
MEDIANUse the median to describe the middle of a set of data that does have an outlier.Advantages:• Extreme values (outliers) do not affect the median as strongly as they do the mean.• Useful when comparing sets of data.• It is unique - there is only one answer.Disadvantages:• Not as popular as mean.
There is only one median in a set of values. If it is an odd amount of values, the median is the middle number. If there is an even amount of numbers, the median is the value halfway between the two middle numbers. So, in 1, 2, 3; the median is 2. In 1, 2, 3, 4; the median is 2.5, as that is halfway between 2 and 3.
Yes, if the data collected will relate to more than one of them.
If there is no mean it is very rare that you will be able to find a missing number. Potentially if you have other numbers and you have a mode you can deduce the missing number by using the mode (if there needs to be one more of a certain number or a certain number cannot be increased in its count of numbers i.e. you can't have more 6's to maintain the current mode).
Yes there can be more then one outlier