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.
No.
the median and mode are but the mean is 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.
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.
If a data set consists of 1000 different values can the mean and the median be the same
No.
No. Not if there are an even number of observations and the middle two values are unequal.
yes
Since there are only two data the median is equal to the mean (142 + 170)/2 = 116.
the median and mode are but the mean is not
Median.
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}
Yes, the median is always a number. For qualitative data, use the mode for a measure of center.
If a data set consists of 1000 different values can the mean and the median be the same
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.
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.
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.