# Are the median and the mean always the same value?

No, not necessarily. They each measure central tendency but in different ways. The mean measures the average of all of the scores while the mean is the middle score. In a normal distribution the median and mean must be equal. In other data sets, they may or may not be equal.

For example, the set {0, 1, 2, 3, 5, 7, 10} has a mean of 28/7 = 4 and a median of 3.

### Can the median and mean be different?

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…

### 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.

### Are the mean and the median are always equal?

No, not always. Sometimes they are equal. Sometimes they are close to each other, but not exactly the same. Sometimes they are very different. It depends on the numbers that are being used to calculate the mean and median. The way each is calculated is different. The mean is got by adding all the numbers and dividing by the amount of numbers. The median is got by arranging the numbers in order and finding the…

### In any data set are the median and mean usually very similar in 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…

### What is the median of 25343123222628 and 35?

The median of 2 numbers is the same as their mean. So, median = (25343123222628 + 35)/2 = 12,671,561,611,331.5 The median of 2 numbers is the same as their mean. So, median = (25343123222628 + 35)/2 = 12,671,561,611,331.5 The median of 2 numbers is the same as their mean. So, median = (25343123222628 + 35)/2 = 12,671,561,611,331.5 The median of 2 numbers is the same as their mean. So, median = (25343123222628 + 35)/2 =…

### When you calculate mean is the answer same when the same data is calculated by median?

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.

### Can the mean median mode and range all the same number?

They quick answer is YES! Here is an example. Before we begin let quickly recap what the we mean by "mean", "median", "mode" and "range": [MEAN] - The sum of all the values, divided by the total number of values. [MEDIAN] - The middle value when the data is arranged in numerical order. [MODE] - The most common value in a data set. [RANGE] - The difference between the highest and lowest values in the…

### How the values of mean and median relate to shape?

The question is how do the mean and median affect the distribution shape. In a normal curve, the mean and median are both in the same point. ( as is the mode) If a distribution is skewed, its tail is either on the right or the left. If a distribution is skewed the median may be a better value to use than the mean since it has less effect on the shape. Also is there…

### Is the average the same as the mean?

Not always. An average is a value that acts as a good representative of a set of numbers. Mathematically, the average is the sum of all values, divided by the number of values there are. This is known as the arithmetic mean. There are also two other forms of average, other than the arithmetic mean. They are the Mode and Median. The Mode is the most common value in a list and the Median is…

### What is the median of 43 and 38?

It is 40.5, the number halfway between them. Median means "half of the numbers are above and half are below". With only two numbers we just split the difference. In this case the Median and the Mean are the same number - but this is not always the case. If our numbers were 43, 38, 33, 46 the Median would still be 40.5 but the Mean would be 40

### What is the median of 80 and 81?

It is 80.5, the number halfway between them. Median means "half of the numbers are above and half are below". With only two numbers we just split the difference. In this case the Median and the Mean are the same number - but this is not always the case. If our numbers were 80, 80, 81, 83, the Median would still be 80.5 but the Mean would be 81.

### What are some examples where the mean the median and the mode might be the same?

(10, 15, 15, 15, 20) The answer above displays a sample in which the sample mean, sample median and sample mode assume the same value. If you were asking about populations, then the population mean, population median and population mode are the same whenever the probability density function for the population is symmetric. For example, the normal probability density function is symmetric, the t and uniform density functions are symmetric. Many are.

### Why is the median not always in the data set?

The median is the middle number of a set. If the amount of numbers is even and the two middle numbers are not the same, then the value half way between them is the median. It is also the value when you add those two numbers and divide by 2. So if your two middle numbers were 7 and 5, the number halfway between them is 6, as is the number when you add 7…

### Can two sets of data consist of different numbers but have the same mean median and mode?

one sample: 1, 2, 3, 3, 4, 5 another sample: -5, -2, 3, 3, 8, 11 These two samples have the same mean, median and mode. It's easy to make some of the elements of the samples different and keep the mean and median the same. However, since the mode is a most frequently observed value it has to be common to both samples. So to achieve a common mode some of the observed values…