0
Can two sets of data consist of different numbers but have the same mean median and mode?
Wiki User
∙ 10y ago
one sample: 1, 2, 3, 3, 4, 5
another sample: -5, -2, 3, 3, 8, 11
These two samples have the same mean, median and mode. It's easy to make some of the elements of the samples different and keep the mean and median the same. However, since the mode is a most frequently observed value it has to be common to both samples. So to achieve a common mode some of the observed values must be the same.
Wiki User
∙ 10y ago
Add your answer:
Earn +20 pts
Are the mean median and mode always numbers from a list of data?
the median and mode are but the mean is not
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!
Is it true that the median is always one of the data points in a set of data?
No, it is not necessarily true that the median is always one of the data points in a set of data. The median is found by arranging the data in numerical order and selecting the middle value. This value might be one of the data points, but it could also be the average of two data points if there is an even number of values in the set.
What happens when 2 numbers are the median?
When there are an even number of data items, there are two numbers in the middle.In this case the median is the mean average of the middle two numbers.
How is it possible for two sets of data to consist of different numbers but have the same mean the same median the same mode?
The range of a data set is the difference between the largest and smallest number in your set of data. Median is the number that comes in the middle. 54, 55, 56 has a range of 54-56 and a median of 55. The set 53, 55, 57 has a median of 55 also!
Here is the histogram of a data distribution The classes all consist of just one number the class width is 1 Which of the following numbers is the median of this distribution?
4
How can two data sets with different numbers have the same mean median and mode?
(10,10,30,30,30,50,50) (20,20,30,30,30,40,40) These two sets have the same mean, median and mode.
What if the data set was even and the numbers were the same for the median?
You then add the two middle ones and divide by two to get the median. If the numbers are the same then that is your median.
Are the mean median and mode always numbers from a list of data?
the median and mode are but the mean is not
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!
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!
Is the mean equal to the median if the data set consist of 1000 values that are all different?
No. Not necessarily. Here are two examples with a smaller set of numbers: A) 1, 2, 3, 4 Mean: 10/4 = 2.5 Median: the mean of the two central elements - also 2.5. B) 1, 2, 3, 394 Mean: 400 / 4 = 100 Median: the mean of the two central elements = 2.5. You can extend the same principle - of having numbers on side of the center farther from the center than the numbers on the other side - to get a different mean and median, for sets of just about any size.
Is it true that the median is always one of the data points in a set of data?
No, it is not necessarily true that the median is always one of the data points in a set of data. The median is found by arranging the data in numerical order and selecting the middle value. This value might be one of the data points, but it could also be the average of two data points if there is an even number of values in the set.
What do you do when the median is two numbers?
For an even number of values, there will be 2 middle numbers. Take the average of the 2 middle numbers for the median. It will be a value not in the data set.
What happens when 2 numbers are the median?
When there are an even number of data items, there are two numbers in the middle.In this case the median is the mean average of the middle two numbers.
Is it possible for two sets of data to consist of different numbers but have the same mean the same median and the same mode?
It is possible for two sets of data - not ALL of which are the same - to have the same measures of central tendency. However, if the two sets do have a mode, then that number must appear in both sets ... several times.
