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Only if the data are symmetrical.
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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.
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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
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
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.
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.
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
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}
For a symmetric distribution of data the mean is equal to which other quantity?
Median.
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.
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.
Is median always sometimes or never in a data set?
If the sample has an odd number of items in it then the median will definitely be in the sample at least once because the median is value of the set of data items whose value(s) are in the middle of the sample when the sample is sorted from smallest to largest. If the sample has an even number of items in it then if the middle items are different the median will be their average, and it will differ from all of the items in the data set. I could continue in this vein but already you can see that the median sometimes occurs in a data set but not always.
