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Why do you have to order the data to calculate the median but not for the mean?
Wiki User
∙ 13y ago
The median is the middle number of the distribution of data. That is why the data has to be sorted. To find the mean, add up all of the data, and divide by the number of data points. So it is not necessary to sort the data, to find the mean.
At the median, half of the data points are greater than that, and half are less than that. Suppose you drove around town and recorded prices of gasoline, and you found the following: 2.75, 2.77, 2.77, 2.79, 2.79, 2.80, 2.99, 3.09, 3.09, 3.17, 3.19. Note that I went ahead and sorted them.
The middle price $2.80 is the median. Half of the stations have a price lower than this price, and half of the stations have a price higher than this. Many times, this type of information is more meaningful than the mean price of $2.93.
Wiki User
∙ 13y ago
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What is mean and median?
mean~ all the numbers in the data added together divided by the number of data. The mean is the same as the average. median~ the exact middle of the set of data. Example: 1,1,2,2, the median is 1.5 mean- the average median- the middle number in a set of numbers in a group.Example of Median-1,3,5,7,9,4,5 (put them in order and list them from least to greatest)1,3,4,5,5,7,9the median is 5!
What is median mean?
mean~ all the numbers in the data added together divided by the number of data. The mean is the same as the average. median~ the exact middle of the set of data. Example: 1,1,2,2, the median is 1.5 mean- the average median- the middle number in a set of numbers in a group.Example of Median-1,3,5,7,9,4,5 (put them in order and list them from least to greatest)1,3,4,5,5,7,9the median is 5!
Can you calculate the mode mean and median of goals scored in a month?
You can calculate the mode, mean and median of any set of integers.
Is mean medain standard deviation calculated as continuous data in statistics?
You can calculate the mean, median, and std dev for discrete or continuous data. Each type has its own set of formulas.
How do you calculate mean and Median smaller then Standard deviation?
In the same way that you calculate mean and median that are greater than the standard deviation!
What is mean and median?
mean~ all the numbers in the data added together divided by the number of data. The mean is the same as the average. median~ the exact middle of the set of data. Example: 1,1,2,2, the median is 1.5 mean- the average median- the middle number in a set of numbers in a group.Example of Median-1,3,5,7,9,4,5 (put them in order and list them from least to greatest)1,3,4,5,5,7,9the median is 5!
What is median mean?
mean~ all the numbers in the data added together divided by the number of data. The mean is the same as the average. median~ the exact middle of the set of data. Example: 1,1,2,2, the median is 1.5 mean- the average median- the middle number in a set of numbers in a group.Example of Median-1,3,5,7,9,4,5 (put them in order and list them from least to greatest)1,3,4,5,5,7,9the median is 5!
How can you find mean median and mode for GROUPED data?
Mean, median and mode are ways to find averages. The mode is the most common answer in a set of data. The median the number that is in the middle when the numbers are put in order. The mean is the statical average.
Does all data have a mean median or mode?
No, not all data sets have a mode but all data sets have a mean and median.
What is the formula for getting the median of the ungrouped data?
You will need to put the un-grouped data in ascending or descending order. If you have an odd number of data values the formula for the median value is (n+1)/2. Example my data in ascending order is 0, 2, 4, 5, 7, 8, 9. I have 7 data values. The median is the value (7+1)/2 = 4th value from left or right which is 5. For an even number of data values, you will need to calculate the median and it may not be a data value. It will be the mean of the two center values. Use the formula n/2 to get the left most value. Example my data in ascending order is 0, 2, 4, 5, 7, 8. I have 6 data values. The left most value I will use to calculate the median is 6/2 = 3rd. The 3rd value from the left is 4. The next value is 5. Median is (4+5)/2 = 4.5.
Definition of mean median and mode?
Mean is the average of the data set values. Median is the middle number in the data set (set up in ascending or descending order). Mode is the data value (or values) that occur the most number of times.
Can you calculate the mode mean and median of goals scored in a month?
You can calculate the mode, mean and median of any set of integers.
When you calculate mean is the answer same when the same data is calculated by median?
No. The mean and median are not necessarily the same. They will be the same if the distribution is symmetric but the converse is not necessarily true. That is to say, a distribution does not have to be symmetric for the mean and median to be the same. For example, the mean and median of {1, 1, 5, 6, 12} are both 5 but the distribution is NOT symmetric.
Can ypu find the mean and median with data from a histogram?
You can estimate the median and the mean.
When an odd number of data items are written in order- what is the middle item called?
It's called the median point.
Is mean medain standard deviation calculated as continuous data in statistics?
You can calculate the mean, median, and std dev for discrete or continuous data. Each type has its own set of formulas.
Should The mean or median be used in ordinal data?
The median is used when reporting ordinal data.
