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All sets of 3 consecutive numbers will have the same mean and median
The mean is 5. The median is 5. There are two modes = 2 and 7. The range is 7.
The median average is the middle number when the numbers are listed in increasing order. For example, the median of {1, 2, 3, 8, 9} is 3. If there is an even number of data items, the median is the mean average of the middle two numbers (add them together and divide by 2). For example, the median of {1, 2, 4, 5, 6, 7) is the mean of 4 & 5 = (4 + 5)/2 = 4.5
To find the median of a set of numbers write them in order, then: * if there are an odd number of numbers then the median is the number in the middle * otherwise there are an even number of numbers and the median is the mean average of the two numbers in the middle. With 4 numbers there is an even number of numbers, so the median is the mean average of the 2nd and 3rd numbers when they are sorted into order. Example: Find median of {3, 9, 4, 5} Ordered → {3, 4, 5, 9} → median = mean_average(4, 5) = (4 + 5) ÷ 2 = 4.5
Mean: 4.25 Median: 4 Mode: 4
It depends on the data set, but if you take the data set 1,2,3 2 is the median and to find the mean you have to add all the numbers and divide by the number of items so 1+2+3=6 and 6 divided by 3= 2 now the median is 2 and the mean is 2 so this is when they can be the same
The 3 numbers that have a mean of 10 and a median of 10.3 and a range of 2 are: 10.3, 10.85, and 8.85. These numbers add up to 30 and divided by 3 equals 10, the mean. The median, or the middle number is 10.3 because it is not as large as 10.85 but not as small as 8.85. And 10.85 minus 8.85 equals 2, or the range. Hoped this helped.... I know how hard this was I had it for homework once. :(
1, 2, 2, 3, 4, 4, 5, 7, 8 Mean: 4 Median: 4 Mode: 2 and 4
I am guessing you are asking for an example of a set of numbers with these properties. Let's start with 5 numbers, so the median will be the middle number; say 1, 2, 3, 4, 5. The median is 3, but so is the mean. Now let's replace the 5 with 10. The median is still 3, but the mean is 4. To make the mode less than 3, let us change the 2 into a 1. Now the median is still 3, the mode is 1, and the mean is 3.8. So 1, 1, 3, 4, 10 will work.
You find the median like normal: 1) list ALL the numbers in order from least to greatest putting any repeated numbers next to each other; 2) if there is an odd number of numbers the median is the middle one - to find which one it is add one to the number of numbers and divide by 2, eg if there are 11 numbers: (11+1)/2 = 6, so it is the 6th number; 3) otherwise there is an even number of numbers and the median is the mean average of the middle two - to find which ones divide the number of numbers by 2 and then find the mean average of that one and the next one, eg if there are 12 numbers 12/2 = 6, so find the mean average of the 6th and 7th numbers. examples: find the median of {1, 5, 2, 4, 6, 2} {1, 5, 2, 4, 6, 2} → {1, 2, 2, 4, 5, 6} → 6 numbers, therefore mean of middle two (6/3 = 3 → 3rd and 4th) = (2 + 4)/2 = 3 find the median of {1, 5, 2, 4, 6, 4} {1, 5, 2, 4, 6, 4} → {1, 2, 4, 4, 5, 6} → 6 numbers, therefore mean of middle two (6/3 = 3 → 3rd and 4th) = (4 + 4)/2 = 4 find the median of {1, 5, 2, 3, 6, 2} {1, 5, 2, 3, 6, 2} → {1, 2, 2, 3, 5, 6} → 6 numbers, therefore mean of middle two (6/3 = 3 → 3rd and 4th) = (2 + 3)/2 = 2.5 If there is an even number of numbers in the set, the median does not have to be (and usually isn't) one of the numbers in the set.
The median of that would be any of the two numbers that are the same.