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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.

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Q: Is the mean equal to the median if the data set consist of 1000 values that are all different?
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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


Can the mean be equal to the median in a data set consisting of 1000 values that are all different?

Yes.


Is the mean and median similar?

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.


In a normal curve what three values are equal?

mean, median and mode


Why can the mean be equal to the median in a data set consisting of 1000 values that are all different?

Because they are both measures of the same characteristic - the central tendency.


What does mean median in math?

The term median refers to an average value indicated by the middle number or numbers in a series. It can be different from the "mean", which is the average value found by adding the numbers and dividing.Where there is an odd number of values, the median is the central (middle) value.For example, in the set [ 1, 2, 7, 50, 100 ] the median value is 7. There will be as many values less than the median as there are greater than the median. (if you have duplicate values, more than one may be equal to the median)Where there is an even number of values, the median is the mean (average) of the two central values. For example, in the set [ 1, 2, 7, 9, 50, 100 ], there are two central values, 7 and 9. The median would be 8, and again there will be as many values less than the median as there are greater than the median.To find the median : put your numbers in order by their value, and count the number of values. Divide the number of values by two to locate the center value or values. Where the number of values is even, add and average the two in the middle.Example : values [ 27, 18, 3, 99, 55, 1, 16 ]Ordered set : [ 1, 3, 16, 18, 27, 55, 99 ]Median : 18


What do all the fractinos equal?

Different fractions are equal to different values.


Are these equal 1.40 and 1.04?

No, they are different values.


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.


What are values that divide the data set into four equal parts?

They are called the quartiles. The middle one is also known as the median.


Are 0.33 and 330100 equal?

No, they are different values.


Is 0.41 equal to 0.14?

No, they have different values.