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What is the median for the following set of data 6 1 9 7 1 2?
First put the dataset in ascending order: {6, 1, 9, 7, 1, 2} → {1, 1, 2, 6, 7, 9} The median is the data item in the middle of the list; if there is an even number of data items it is the mean average of the middle two: There are 6 data items in the set, so the median is the mean average of the 3rd and 4th → (2 + 6) ÷ 2 = 4.
Can there be more than one median in a data set?
No.There is only 1 middle value.If there are an odd number of elements in the data set, the median is the middle one;Otherwise there are an even number of elements in the data set and the median is the mean average of the middle two (add them together and divide by 2).The median value can occur more than once in the data set, eg in {2, 5, 5, 5, 6, 7} the median is 5 ((5 + 5)/2 = 5) with a frequency of 3, but it is still only one value.
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. 6+7+8+9+10 6,7 = 2 terms 9,10 = 2 terms median =8 mode = 8
What do you do if there are 2 middle numbers to find the median?
If you are dealing with a set with an even number of data, like the one below: {1, 2, 4, 6, 7, 7} you can find the median by taking the average (mean) of the middle two values. For this example, the middle to values are 4 and 6, and the average of those two numbers is 5. So the median is 5.
Average set of numbers of 7 11 12 18?
median = 11.5 mean = 12
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.
What is the median set of data 7?
It is 7.It is 7.It is 7.It is 7.
How will adding the value 65 affect the mean and median of the data set 3 3 7 8 9?
The mean will go from 5 to 15.833...The median will go from 7 to 7.5The mean will go from 5 to 15.833...The median will go from 7 to 7.5The mean will go from 5 to 15.833...The median will go from 7 to 7.5The mean will go from 5 to 15.833...The median will go from 7 to 7.5
Does the median in the set of data have to be close in value to the mean?
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.
If there is two middle numbers how do you discover the median of a set of data?
If you mean a set of number like this; 4, 5, 7, 7, 8, 10 The median is 7 because that is the number is half way the beginning and end of the numbers when listed in increasing order.
What is the median for the following set of data 6 1 9 7 1 2?
First put the dataset in ascending order: {6, 1, 9, 7, 1, 2} → {1, 1, 2, 6, 7, 9} The median is the data item in the middle of the list; if there is an even number of data items it is the mean average of the middle two: There are 6 data items in the set, so the median is the mean average of the 3rd and 4th → (2 + 6) ÷ 2 = 4.
How do you compare median to the mean in this set 10 8 8 8 4 6 9 3?
median = 8 mean = 7 mean < median.
Can there be more than one median in a data set?
No.There is only 1 middle value.If there are an odd number of elements in the data set, the median is the middle one;Otherwise there are an even number of elements in the data set and the median is the mean average of the middle two (add them together and divide by 2).The median value can occur more than once in the data set, eg in {2, 5, 5, 5, 6, 7} the median is 5 ((5 + 5)/2 = 5) with a frequency of 3, but it is still only one value.
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. 6+7+8+9+10 6,7 = 2 terms 9,10 = 2 terms median =8 mode = 8
If you have more than one median what do you do?
If you have an even set of data then there are two middle numbers or medians. Average those two and create a median. Example: 2,3,4,7,9,10 4 and 7 are in the middle. (4+7)/2=5.5 5.5 is the median even though it is not one of the numbers in the data set.
Calculate the mean median and mode what data set Round values to the nearest tenth if the answer is not integer 2 15 21 27 31 42 55?
The mean is the average: (2+15+21+27+31+42+55) divided by the number of terms (7). The mean is 193/7 = 27.6 The median is the number from the set which is in the middle, when listed lowest to highest, which you have already done. With your odd numbered set of 7 values, three numbers will be below the median, and three numbers above. The median is 27. If you had an even-numbered set, the median would be half-way between the two middle values of the set. In your example, there is no mode. The mode in a set of data is the value that occurs most often. No element in your set occurs more than once, and so there is no mode.
What is the median of this data 4 7 9 10 12 6?
8. In order: 4, 6, 7, 9, 10, 12 6 data items so median is mean of middle two: median = (7+9)/2 = 8.
