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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

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Q: In any data set are the median and mean usually very similar in value?
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What is the extreme value in a data set?

median


What is the formula for getting the median of the ungrouped data?

You will need to put the un-grouped data in ascending or descending order. If you have an odd number of data values the formula for the median value is (n+1)/2. Example my data in ascending order is 0, 2, 4, 5, 7, 8, 9. I have 7 data values. The median is the value (7+1)/2 = 4th value from left or right which is 5. For an even number of data values, you will need to calculate the median and it may not be a data value. It will be the mean of the two center values. Use the formula n/2 to get the left most value. Example my data in ascending order is 0, 2, 4, 5, 7, 8. I have 6 data values. The left most value I will use to calculate the median is 6/2 = 3rd. The 3rd value from the left is 4. The next value is 5. Median is (4+5)/2 = 4.5.


The middle value or average of the two middle values in a data set is?

The median.


What are the advantages and disadvantages of median?

Median cannot be used for qualitative data (a mode can).The sampling distribution of the median is complicated (the mean is well studied).Median can usually be used for data that can be ordered without there being a ratio scale. For example, "small-medium-large", or "very negative-negative-neutral-positive-very positive". A mean cannot be calculated without arbitrarily assigning a numerical value to the terms.A median is not dependent on all the values which means that it is not distorted by outliers (extreme values).It is easy to find the median value from cumulative frequency charts.


If there are 10 values in a data set in order from smallest to largest what is the median of the data set?

If the set of numbers has an even size, as in this case, the median is the average of the two numbers closest to the middle.

Related questions

What is the mode and median?

Both median and mode are the statistics formulas, Median is called mid value of the given data and mode is the value which occure repetedly in the given data.


What is the extreme value in a data set?

median


What is the median of two and one half?

The median of a data set comprising only one value is that value. So the median of 2.5 is 2.5.


What is the median of five?

Median is only meaningful with a set of data. The median of five would just be five. Similar to asking what the average of 5 is.


The middle value when the data are arranged in numerical order?

Middle value when the data are arranged in numerical order is the median.


What is the formula for getting the median of the ungrouped data?

You will need to put the un-grouped data in ascending or descending order. If you have an odd number of data values the formula for the median value is (n+1)/2. Example my data in ascending order is 0, 2, 4, 5, 7, 8, 9. I have 7 data values. The median is the value (7+1)/2 = 4th value from left or right which is 5. For an even number of data values, you will need to calculate the median and it may not be a data value. It will be the mean of the two center values. Use the formula n/2 to get the left most value. Example my data in ascending order is 0, 2, 4, 5, 7, 8. I have 6 data values. The left most value I will use to calculate the median is 6/2 = 3rd. The 3rd value from the left is 4. The next value is 5. Median is (4+5)/2 = 4.5.


Since the median is the middle value of a data set it must always be?

Not an extreme value.


What is the middle value or average of the two middle values in a data set?

The middle value in a data set is the median. If there are an even number of values in the set, you average the middle two values to get the median.


What is the middle value of this data 44 48 52 58 63 65?

The median value is: (52+58)/2 = 55


What is the median if the range is 8-20?

It's impossible to tell given the data. The median is the value dividing the half of the elements above the value and the half below it.


What is the middle number in a set data after the data is arranged from least to greatest?

The median value of a range of values.


What if the median equals the minimum value?

The only way that this could happen if enough of the data points have the same value at the minimum. The median is the middle number in a set of data points.So for example: {2,2,2,3,4}. The middle number is 2, which is also the minimum value.