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Does the median in the set of data have to be close in value to the mean?
Wiki User
∙ 13y ago
The median of the set of data does not have to be close in value to the mean. First of all, what is the median? The median is the middle number between a set of numbers. So if you are asked what the median of a set of numbers is.... put the set of numbers in order from lowest in value to highest value.
Example.... 1, 2, 3, 45, 100, 1010, 1020.
In this example, what is the median, or the middle number? It's ... 45!
If you want to find the mean ... add all of the numbers and divide the sum by the AMOUNT of numbers there are in the set.... the sum of the set is 2181.. and there are 7 numbers in the set.
The mean is 2181 / 7 = 311. 57.
You can see that 311 is not close in value to 45.
Wiki User
∙ 13y ago
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Would you use mean mode median to average the points?
mean is the average of numbers in the data set mode is the most frequently occurring value in a data set and median is the middle number of the data set so you would use mean
How will adding the value 100 affect the mean and median of the data set 1 5 7 7 9 10?
It will increase the mean without affecting the median.
In a normally distributed data set which is greater mean median or mode?
In a normal distribution the mean, median and mode are all the same value.
What is an advantage to using the median when examining a set of data?
The median or mode should be used instead of the mean in distributions with extreme outliers. In such cases, the mean can be a misleading measure of central tendency and the median value or the mode value are typically more accurate measures.
How will adding the value 50 affect the mean and median of the data set 8 10 12 18 22?
The mean will increase from 14 to 20. The median will increase from 12 to 15.
Would you use mean mode median to average the points?
mean is the average of numbers in the data set mode is the most frequently occurring value in a data set and median is the middle number of the data set so you would use mean
There are 100 values in the set The median is 90 the mean is 95 Increase the highest value in the data set by 200 Now what are the median and the mean of the data set?
The median is the middle value (or mean of the two middle values if there are an even number of values) and so is unaffected by an increase in the highest data value. It is still 90. The mean was 95, so the total for the data set was 95x100 = 9500. If the highest data value is increased by 200, the data set total is also increased by 200, giving a new data set total of 9500 + 200 = 9700, so the new mean is 9700/100 = 97.
Definition of mean median and mode?
Mean is the average of the data set values. Median is the middle number in the data set (set up in ascending or descending order). Mode is the data value (or values) that occur the most number of times.
Does all data have a mean median or mode?
No, not all data sets have a mode but all data sets have a mean and median.
How will adding the value 100 affect the mean and median of the data set 1 5 7 7 9 10?
It will increase the mean without affecting the median.
In a normally distributed data set which is greater mean median or mode?
In a normal distribution the mean, median and mode are all the same value.
How does the outlier effect the mean median and mode in a set of data?
There would be a difference to the median. The old number wouldn't be the median but the mode wouldn't change. If the outlier is a high value, it will cause the mean value to shift to the higher side, while a low valued outlier will drop the mean value to a lower number.
What is an advantage to using the median when examining a set of data?
The median or mode should be used instead of the mean in distributions with extreme outliers. In such cases, the mean can be a misleading measure of central tendency and the median value or the mode value are typically more accurate measures.
Can ypu find the mean and median with data from a histogram?
You can estimate the median and the mean.
How are mean and median alike?
The mean of a set of data is all the values in that data added together and then divided by the number of values. For instance, if you had the data set 1, 3, 4, 6, 8, you would add them all up to get 22, and then divide by 5 to get 4.4 which is the mean. The median is the middle value of all data values. In the above data set, that is 4, and so 4 would be the median. Mean and median are alike in that they both attempt to find the "middle" of the data, and are both considered averages.
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.
How will adding the value 90 affect the mean and median of the data set 1 5 5 6 9 10?
adding a no. to every term increases the median and mean by same no.
