Answer:
The mean of a set is the average of the set. To find the mean, you would add up all numbers, and divide by the amount of numbers in the equation.
85 + 95 + 91 + 82 + 93 + 87 + 83 = 616
Now I can see that there are 7 terms.
I would divide 616 by 7
616/7 = 88
The mean is 88
How do you find the median?
The median is the number in the middle of a set. But to find the median, the numbers must be in order from low to high. So I would rewrite this set from the lowest number to the highest one.
82, 83, 85, 87, 91, 93, 95
The number in the middle, 87 would be the median.
Now, what would you do if 56 was added to the data set? You would find the new mean and new median.
Mean: 85 + 95 + 91 + 82 + 93 + 87 + 83 + 56 = 672
672 divided by 8 (672/8) Is 84
The new mean is now 84
Great! Now, let's find the median with 56 added to the set.
56, 82, 83, 85, 87, 91, 93, 95
Because there are 8 numbers, there is not a whole number in the middle.
Numbers 85 and 87 are the two numbers in the middle. To find the median, I would find the number perfeclty in between 85 and 87. This is 86.
So the median of this set is 86.
What is the difference between the mean and median?
The new mean is 84 and the new median is 86. The difference between these numbers is 2!
So the new difference between the mean and median is 2
Hope this helps!
Answer:
2.
Step-by-step explanation:
Primarily, try to list the given set of numbers in ascending order (increasing order).
and then include 56 in the ascending order as the least number there.
which is like : 56, 82 ,83 ,85 ,87 ,91 ,93 ,95.
We now have 8 subsets.
To find the mean...Find the "average" by adding the above arranged values and then divide them by the number of subsets.
like this Mean = 56+82+83+85+87+91+93+95 ÷ 8 = 84.
and now look for the median...which is simply the sum of the two middle numbers in the arranged set which are 85 & 87 divided by 2 because that's their average.
Median = 85 + 87 ÷ 2 = 86.
and now we are supposed to find the difference of the mean & median. so let's subtract them from each other 86 - 84 = 2.
Peace to you.
