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The question is how do the mean and median affect the distribution shape.
In a normal curve, the mean and median are both in the same point. ( as is the mode)
If a distribution is skewed, its tail is either on the right or the left.
If a distribution is skewed the median may be a better value to use than the mean since it has less effect on the shape. Also is there are large outliers, the median has less effect and is better to use.
So the mean has a bigger effect on the shape many times than the median.
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Find the mean,median,mode and range of the following values:17,7,11,13,2,12,7.?
What is the answer
In any data set are the median and mean usually very similar in value?
yes they are if you have 0 and 10 the mean is 5 and so is the median. The mean and the median can in fact be the same value. But basically to answer your question, One possible way is that if the values are ascending by 1 in the data set, then the number of values left to the median should be the same as the number of values right to the median. e.g. 6+7+8+9+10 6,7 = 2 terms 9,10 = 2 terms median =8 mode = 8
What is the math median mean?
The MEDIAN is the number in the middle. In order to find the median, you have to put the values in order from lowest to highest, then find the number that is exactly in the middle. For example : 80 85 90 90 90 100 ^ since there is an even number of values, the MEDIAN is between these two, or it is 90. Notice that there is exactly the same number of values above the median as below it! Its that simple.
Why are mean median and mode considered measures of central tendency?
The mean (average value), the median (middle value), and the mode (most frequently occurring value) are all important values.
What is the nature of symmetry if median is greater than the mean?
Generally, when the median is greater than the mean it is because the distribution is skewed to the left. This results in outliers or values further below the median than above the median which results in a lower mean value than median value. When a distribution is skewed left, it is generally not very symmetrical or normally distributed.
