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Q: Can the median and the mean be the same value?

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5,6,7

Yes because if the numbers are all the same they can be both mean and median but they do not have to be the same.

That would provide some evidence that the distribution is symmetric about the mean (or median).

For the set 3 4 5 8 5, the mean median and mode all have the same value.

In a normal distribution the mean, median and mode are all the same value.

All three increase by that same value.

The median of 65 and 90 is the same as their mean: 77.5The median of 65 and 90 is the same as their mean: 77.5The median of 65 and 90 is the same as their mean: 77.5The median of 65 and 90 is the same as their mean: 77.5

Your single number is your only information of the median value of the population, so the median value is the same as your single number. It is also the mode and mean of your sample.

The Mean is the average of a given set of values. The Median is the value that has the same number of smaller values than the number of higher values, it is in the middle of them. In a symmetrical distribution the Mean is equal to the Median. In an asymmetrical distribution they have different value.

If the two numbers are the same value, then that is the median.

The median is the middle value of a list of numbers. In [1,6,34] the median value is 6.

The median is the middle value of a list of numbers. In [1,6,34] the median value is 6.

The median

Mean = average and median = the middle value in an array of all values received. So to answer your question the 50th percentile of a distribution is the same as median.

5

adding a no. to every term increases the median and mean by same no.

It is the value of all numbers in the range in which there are as many values above it as there are below it. For example for the ordered values 1,3,7,9,10,12,15,19,21 the median value is 10. It is not he same as the mean, or average, which is the sum divided by the number of values.

The second quartile.

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.

All sets of 3 consecutive numbers will have the same mean and median

No. Normal distribution is uni-modal, specifically with the mean, mode, and median at the same value.

yes they are if you have 0 and 10 the mean is 5 and so is the median. The mean and the median can in fact be the same value. But basically to answer your question, One possible way is that if the values are ascending by 1 in the data set, then the number of values left to the median should be the same as the number of values right to the median. e.g. 6+7+8+9+10 6,7 = 2 terms 9,10 = 2 terms median =8 mode = 8

Yes they can. That is why we have them. We would not need both if they always gave the same value. A mean is the total of numbers divided by the amount of numbers. A median is the middle value in the list when it is in numerical order. Usually they are similar, but not always the same. If there is an extreme number, much different than all the others, then the mean and median will be very different. Take 1, 3, 4, 7, 900. 4 is the Median. 183 is the mean. 183 is not very representative of the set, which is why a median actually works better here.

The mean (average value), the median (middle value), and the mode (most frequently occurring value) are all important values.

2, 2, 5, 7, 9, 11. Mean = Median = 6 Mode = 2