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Are the mean and the median always equal?
No. They are equal only if the distribution is symmetrical.
What is more accurate mean or median?
Technically the mean is more accurate, but it is not always a true representation, when you have a number that is way out of proportion with the rest of the numbers. That is when the median is more useful. See the related question below.
Are the mean mode and median always about the same value?
Only if the distribution is roughly 'normal'. Otherwise, no. Example: 1, 2, 3, 4, 5, 6, 1000 Mean = 145.86 Median = 4
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 median of 80 and 81?
It is 80.5, the number halfway between them. Median means "half of the numbers are above and half are below". With only two numbers we just split the difference. In this case the Median and the Mean are the same number - but this is not always the case. If our numbers were 80, 80, 81, 83, the Median would still be 80.5 but the Mean would be 81.
Are the mean median and mode always numbers from a list of data?
the median and mode are but the mean is not
Can the median and mean be different?
Yes they can. That is why we have them. We would not need both if they always gave the same value. A mean is the total of numbers divided by the amount of numbers. A median is the middle value in the list when it is in numerical order. Usually they are similar, but not always the same. If there is an extreme number, much different than all the others, then the mean and median will be very different. Take 1, 3, 4, 7, 900. 4 is the Median. 183 is the mean. 183 is not very representative of the set, which is why a median actually works better here.
Are median and mean always similar why?
They are both called "measures of central tendencies" because they show something about a group of numbers and what value they are 'centered' around.
Are the mean and the median always equal?
No. They are equal only if the distribution is symmetrical.
For a given data set the mean and median are always nearly equal?
No.
In a normal distribution you will always know that?
The mean is the same as the mode and median.
Is the mean and median similar?
The Mean is the average of a given set of values. The Median is the value that has the same number of smaller values than the number of higher values, it is in the middle of them. In a symmetrical distribution the Mean is equal to the Median. In an asymmetrical distribution they have different value.
What are the characteristics of mean as a measure of central tendency?
One of the characteristics of mean when measuring central tendency is that when there are positively skewed distributions, the mean is always greater than the median. Another characteristic is that when there are negatively skewed distributions, the mean is always less than the median.
What is similar for the Median and Mode in math?
Median and mode are in mathematics.
How do mean deviation from median?
The mean deviation from the median is equal to the mean minus the median.
Do the mean median and mode of a collection of numbers always have to be different?
No, in a normal distribution they are the same.
Is Mean is more sensitive to skewness than the median?
If the distribution is positively skewed , then the mean will always be the highest estimate of central tendency and the mode will always be the lowest estimate of central tendency (If it is a uni-modal distribution). If the distribution is negatively skewed then mean will always be the lowest estimate of central tendency and the mode will be the highest estimate of central tendency. In both positive and negative skewed distribution the median will always be between the mean and the mode. If a distribution is less symmetrical and more skewed, you are better of using the median over the mean.
