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An outlier can significantly affect the median of a data set, although its impact is less pronounced compared to measures like the mean. The median is the middle value when data is arranged in order, so if an outlier is added or removed, it may not change the median unless it is situated among the middle values. For instance, in a data set with an odd number of values, an extreme outlier at one end will not affect the median as long as it does not enter the central position. However, in a smaller data set, the presence of an outlier can shift the median if it changes the arrangement of the middle values.
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What divides a set of data in half?
Median
What does the median tell you about the distribution of a set of data?
the midpoint of the data set
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 the median of a set of data is 23 must 23 be one of the data values?
No, the median does not have to be one of the data values. The median is the middle value of a sorted data set, and it can be the average of two middle numbers if the set has an even number of values. Thus, while 23 is the median, it may not necessarily appear in the original data set.
What is the middle number of a data set called?
it is the median
What is median in the set of data?
The median in a set of data, would be the middle item of the data string... such as: 1,2,3,4,5,6,7 the Median of this set of data would be: 4
What divides a set of data in half?
Median
Which is the middle number in a set of data?
Median .
What does the median of a set of data tell you?
The median is the midpoint of the data set. So half the observations are greater than the median and half are smaller.
What does the median tell you about the distribution of a set of data?
the midpoint of the data set
Does some quantitative data sets do not have a median?
No, they must have a median. However, if the data set is of even order, the median may not belong to the data set. For example, the median of 1,2,3,10 is halfway between 2 and 3 or 2.5 which is not a data point.
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 the median of a set of data is 23 must 23 be one of the data values?
No, the median does not have to be one of the data values. The median is the middle value of a sorted data set, and it can be the average of two middle numbers if the set has an even number of values. Thus, while 23 is the median, it may not necessarily appear in the original data set.
What is the middle number of a data set called?
it is the median
What does the median tell you about the data?
The median, by definition, tells you the "half way point" of your data. Exactly half of the observations in the dataset will be less than the median and half will be greater than the median.
What is the definition of median in math?
the median is the middle number in a set of data.
What is the data set with a median of 4?
S={1,2,4,5,7}, the median is 4
