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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.
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Find the median of set of data 1 6 19 24 26 31 33 46?
Find the median of set of data 1 6 19 24 26 31 33 46
Can the median of the data set be the same as Q1 and Q3?
Yes. An example: the data set {1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 5} has median = Q1 = Q3 = 2.
Why is number 1 the median number of the numbers 1 0 4 1 1 4?
You are right. 1 is the median.The median of a set of data is found by arranging the data in increasing or decreasing order. So, we can arrange the items: 0, 1, 1, 1, 4, 4If the number of items of data is even, as it is in this case, then the median is the average (or mean) of the two middle numbers. So, the median is (1 + 1)/2 = 2/2 = 1If the number of items of data is odd, then the median is the middle number in the ordered set. For example the median of the data 1, 3, 3, 5, 6, 8, 9 is 5, because 5 is in the middle.It is also the mode. The mode of a set of data is the one item of data that occurs most often. 1 has the highest number of frequency in this sample. Thus 1 is the mode also.
Can a data set have the same mean median and mode?
yes it can. Imagine the set 1,1,1,1,1,1,1,1,1,1 well, the mode is obviously 1. there are ten 1s and 10*1/10=1 so the mean is one the median would be (1+1)/2=1 so the data has the same mean, medain and mode.
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.
What is the median of the following data set -5000 -4999 -4998 ... -1 0 1 ... 4998 4999 5000?
What is the median of the following data set -5000 -4999 -4998 ... -1 0 1 ... 4998 4999 5000?
When the lower 50 percent of data has greater range the mean will be what to the median?
Whatever you like. The median value for each of the following three sets is 10. For the set {1, 9, 11, 12}. the mean is 8.25, smaller than the median. For the set {1, 9, 15, 15}. the mean is 10, the same as the median. For the set {1, 9, 15, 16}. the mean is 10.25, larger than the median.
Find the median of set of data 1 6 19 24 26 31 33 46?
Find the median of set of data 1 6 19 24 26 31 33 46
Can the median of the data set be the same as Q1 and Q3?
Yes. An example: the data set {1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 5} has median = Q1 = Q3 = 2.
Why is number 1 the median number of the numbers 1 0 4 1 1 4?
You are right. 1 is the median.The median of a set of data is found by arranging the data in increasing or decreasing order. So, we can arrange the items: 0, 1, 1, 1, 4, 4If the number of items of data is even, as it is in this case, then the median is the average (or mean) of the two middle numbers. So, the median is (1 + 1)/2 = 2/2 = 1If the number of items of data is odd, then the median is the middle number in the ordered set. For example the median of the data 1, 3, 3, 5, 6, 8, 9 is 5, because 5 is in the middle.It is also the mode. The mode of a set of data is the one item of data that occurs most often. 1 has the highest number of frequency in this sample. Thus 1 is the mode also.
Is the median and the mode of a set of data always the same?
No, because the mode is the most common score, and does not necessarily represent the middle point of the scores, which is the median. For example: 1, 1, 1, 2, 3, 4, 5, 6, 7 In this set of data the mode is 1 but the median (the 5th score in this example) is 3.
How do you find the median with an even data set?
The median is the mean of the middle two. For example, find the median of the set {1, 3, 4, 6, 9, 10, 15, 20}. There are 8 items in the data set, so the median is the mean of the middle two. The middle two are the 4th and 5th data items: 6 & 9 median = mean of 6 & 9 = (6 + 9)/2 = 7.5
Can a data set have the same mean median and mode?
yes it can. Imagine the set 1,1,1,1,1,1,1,1,1,1 well, the mode is obviously 1. there are ten 1s and 10*1/10=1 so the mean is one the median would be (1+1)/2=1 so the data has the same mean, medain and mode.
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.
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.
Can the mode and the median of a set of data be the same value?
The mode is the most frequent number in a set of data. For instance in the data 1, 2, 2, 2, 2, 4, 6, 6, 7, 8, 9, 9, it is clear that 2 is the mode. The median is the middle number in the data. The above set has already been ordered from smallest to largest, and the middle number is 6. Thus the median of the above data is 6. It is clear that the mode and median can easily be the same value. For instance, in the data set 1, 3, 4, 5, 5, 5, 5, 7, 9. Here, 5 is both the middle number and the most frequent. Thus the median and mode are the same value.
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.
