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In statistics, the median is defined as the middle value in a data set when it is ordered from least to greatest. If there is an even number of observations, the median is calculated as the average of the two middle values. In cases where the data set has repeated values, the median remains a single value representing the central tendency, regardless of how many times certain values appear. Thus, while there can be multiple modes (most frequently occurring values), the median itself will still be a unique value.
What else can I help you with?
Is there ever more than one median?
No, there is never more than one median in a data set. The median is defined as the middle value when the data is arranged in order. If the data set has an odd number of observations, the median is the single middle value. If it has an even number of observations, the median is the average of the two middle values, which also results in a single value.
Median of a data is 20 If each is obesrvation in the data is increased by 2 then what is the new median?
the new median is the same as that of old one. i.e 20 * * * * * If every observation is increased by 2, the new median is 2 more than the old median.
Can a data set have more than one median?
No, a data set cannot have more than one median. The median is defined as the middle value of a sorted data set, or the average of the two middle values if the data set has an even number of observations. While a data set can have repeated values, the median itself remains a single value that represents the central tendency of the data.
If you have more than one median what do you do?
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.
Can you get the same median if you add two more numbers?
yes, depending on what your numbers are, you would need for one to be higher and one lower than your current median, it's always the number in the middle or the average of the 2 middle if it's an even amount of variables.
Can there be more than one median to a number?
No and a single number cannot have a median either you need a series (at least two) to have a median.
Median of a data is 20 If each is obesrvation in the data is increased by 2 then what is the new median?
the new median is the same as that of old one. i.e 20 * * * * * If every observation is increased by 2, the new median is 2 more than the old median.
Why is the median a more stable measure of central tendency than the mean?
in general,mean is more stable than median but in the case of extreme values it is better to consider median a stable measure than mean.
If you get more than one median what do you do?
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.
Why do we study the median?
The median is a more robust measure than the average, which means it is more resilient to the effects of outliers in your dataset.
When is the median more useful than the mean?
When the distribution has outliers. They will skew the mean but will not affect the median.
Can a mean average ever be higher than a median average?
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.
The point of intersection of the less than and more than ogive corresponds to 1.geometric mean 2.mode 3. median 4.none of the above?
median
Can you get the same median if you add two more numbers?
yes, depending on what your numbers are, you would need for one to be higher and one lower than your current median, it's always the number in the middle or the average of the 2 middle if it's an even amount of variables.
Is the mean influenced more than the median by a few extreme scores at one end of the distribution?
Yes. The mean uses the actual value of each observation. The value(s) of only the middle observation (or pair of middle observations) is required for the median. For all other observations, the median is concerned only with whether it is larger or smaller than it is.
What happens if you have two or more medians in a problem?
there really couldn't be more than 1 median in a problem
Can the mean be smaller than the median for a set of data?
Yes. If the lower values tend to be farther below the median than the highest values are above the median, the mean is smaller than the median. why are write wrong
