0
Only if the data are symmetrical.
========
And to illustrate the above:
Imagine a bus that has 3 passengers on it, all of whom work at a factory earning £15,000 per year. If we consider the mean and median salary of the passengers then here they will be identical as the data is perfectly symmetrical.
However, now suppose Bill Gates (who of course earns a vast salary!) got on this bus at the next stop. With these 4 passengers, suddenly the mean salary has now increased dramatically, yet the median salary remains unchanged at £15,000.
What else can I help you with?
For a given data set the mean and median are always nearly equal?
No.
Are the mean median and mode always numbers from a list of data?
the median and mode are but the mean is not
The median and mean of a data set can be the same value why or why not?
The median and mean of a data set can be the same when the data is symmetrically distributed, such as in a normal distribution. In this case, the mean accurately reflects the central tendency of the data, and the median, being the middle value, aligns with it. However, in skewed distributions, the mean and median can differ significantly due to the influence of outliers. Thus, while they can be equal, it depends on the distribution characteristics of the data set.
Is the median always one of the data values?
No, the median is not always one of the data values. In a dataset with an odd number of values, the median is the middle number, which is a data value. However, in a dataset with an even number of values, the median is the average of the two middle numbers, which may not be a value in the dataset itself.
Is the mean equal to the median in a data set consisting of 1000 values that are all different?
If a data set consists of 1000 different values can the mean and the median be the same
For a given data set the mean and median are always nearly equal?
No.
Will the median always be equal to an actual value in the data set?
No. Not if there are an even number of observations and the middle two values are unequal.
Will a set of data always have a median?
yes
What is the median if the data was 142 170?
Since there are only two data the median is equal to the mean (142 + 170)/2 = 116.
Are the mean median and mode always numbers from a list of data?
the median and mode are but the mean is not
For a symmetric distribution of data the mean is equal to which other quantity?
Median.
Is the median of a data set always one of the data values?
first off you have to no what the median is the median is the middle number in a group of data if there is no "middle" number ad the two middle numbers together and then divide by 2 example: 1,2,3,4 2+3=5 5 divided by 2 is equal to 2.5 2.5 is your median {note explanaition was for people who might read this question so that they could understand}
Does the median have to be a number?
Yes, the median is always a number. For qualitative data, use the mode for a measure of center.
Is the mean equal to the median in a data set consisting of 1000 values that are all different?
If a data set consists of 1000 different values can the mean and the median be the same
Are median and mean always similar?
No, not always. Median is the number that's in the middle of a group of numerical data. Mean is just the average of a set of numbers, which isn't always in the middle.
How many medians can exist in a set of data?
In a set of data, there is always one median, which represents the middle value when the data is sorted in order. If the dataset has an odd number of values, the median is the single middle number. If the dataset has an even number of values, the median is calculated as the average of the two middle numbers. Thus, regardless of the dataset's size, there is always one median.
Is median always part of the data set?
yes* * * * *No. If you have a small, even number of observations, the median is the average of the two middle values. This will usually NOT be part of the data set.
