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.
No. Not if there are an even number of observations and the middle two values are unequal.
The mean, median, and mode are not always equal. For example, consider the set of 5 values {2, 3, 5, 10, 10}. The arithmetic mean is 6. (The values sum to 30, and 30 divided by 5 is 6.) The median is 5. (The middle number of the 5 values, when sorted, is 5.) The mode is 10. (The value 10 appears most often in the set.) And, you probably didn't ask, but: The geometric mean is the fifth root of 3000, or about 4.96. The harmonic mean is 150 divided by 37, or about 4.05. The quadratic mean is the square root of 47.6, or about 6.9. Although the word "average" can technically be used to describe all of these values, in common parlance the word "average" refers to just the arithmetic mean.
Integer variables
Positive Correlation
That means that, in a set of numbers, there are just as many numbers greater than the calculated median, as there are numbers less than the median. To calculate the median, sort the numbers, then pick the number in the middle. If there are two middle numbers, take their average.
If a data set consists of 1000 different values can the mean and the median be the same
Yes.
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.
mean, median and mode
Because they are both measures of the same characteristic - the central tendency.
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
Different fractions are equal to different values.
No, they are different values.
No. Not if there are an even number of observations and the middle two values are unequal.
They are called the quartiles. The middle one is also known as the median.
No, they are different values.
No, they have different values.