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If a data set consists of 1000 different values can the mean and the median be the same
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.
They are called the quartiles. The middle one is also known as the median.
The median is 5, because two values (2 and 2) are less than 5, and an equal number of values (8 and 9) are greater than 5. Generally speaking, the median is more informative than the average (mean), although a proper calculation of a "typical value" of a list of values depends on what the typical value will be used for.
Only if all values in the dataset are equal. Otherwise, it is impossible. If there are two numbers in the dataset, the median is the average of these two numbers. If there are three numbers, then the second number is the median or one number away from the maximum.
mean, median and mode
If a data set consists of 1000 different values can the mean and the median be the same
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.
Yes.
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
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.
The median is 5, because two values (2 and 2) are less than 5, and an equal number of values (8 and 9) are greater than 5. Generally speaking, the median is more informative than the average (mean), although a proper calculation of a "typical value" of a list of values depends on what the typical value will be used for.
the mean is the average of the values of a population. the mean of 2, 8, 11 would be 7 while the median (equal numbers of values above and below) would be 8
Only if all values in the dataset are equal. Otherwise, it is impossible. If there are two numbers in the dataset, the median is the average of these two numbers. If there are three numbers, then the second number is the median or one number away from the maximum.
Because they are both measures of the same characteristic - the central tendency.
The mean deviation from the median is equal to the mean minus the median.