Hi!
First, find the median of the original data set.
Arrange the numbers in order,
2, 2, 4, 6, 7, 8, 18, 20, 24
Then find the middle number.
2, 2, 4, 6, 7, 8, 18, 20, 24
Now add the number 10.
2, 2, 4, 6, 7, 8, 10, 18, 20, 24
Find the new middle number.
2, 2, 4, 6, 7, 8, 10, 18, 20, 24
7.5
The first median was 7, the new one is 7.5.
The median increases by 0.5.
Hope this helps! :)
-Peredhel
Answer:
Graph of the new function will be vertically stretched by 2 units.
Step-by-step explanation:
A linear function is represented by the equation, y =
This function has the slope = and y-intercept = 4
If this function is stretched vertically by 'k' the the equation of the new function will be,
y =
y = ---------(1)
If the slope of this equation is changed to ,
New equation of the function will be,
y = ---------(2)
Comparing equations (1) and (2),
a = 2
Therefore, graph of the new function will be stretched vertically by 2 units.
Answer:
Step-by-step explanation:
We have 6 numbers, the mean is the average of all 6, so adding all 6 numbers together and dividing by 6 will give you 3. Because of this we know the 6 numbers will have to add up to 18.
The median is the middle number, but we have an even number so the median is found by adding the 2 middle numbers and dividing by 2.
Because the mean is low, we can guess the first 2 numbers will be small, so let's try 1.
1 + 1 + _ + _ + _ + _
The remaining 4 numbers will have to add up to 16, and the next 2 numbers need to add up to 12. There would not be any possible combination where this would work. Now we know our first 2 numbers are too big.
Now we try 0.
0 + 0 + _ + _ + _ + _
Now our remaining 4 numbers neet to be 18, but the middle 2 need to add to 12 (so when we divide by 2 we get 6) so 0 is still too big!
-2 + -2 + _ + _ + _ + _
If we try -2 now the next 4 numbers need to add to 22, but that's still not going to work because 22-12 = 10 and the last 2 numbers have to be the same, or larger than the middle 2.
-3 + -3 + _ + _ + _ + _
With -3 then our total of the remaining 4 numbers needs to be 24 and 24-12 = 12 so this could be an option!
Our numbers could be:
-3, -3, 6, 6, 6, 6
Let's check:
-3 + -3 + 6 + 6 + 6 + 6 = 18 18/6 = 3 and our middle 2 numbers are 6 so our median would be 6.
If the numbers all have to be different we can come up with a different solution by making our first 2 numbers smaller.
-9, -5, 5, 7, 9, 11
Let's check
-9 + -5 + 5 + 7 + 9 + 11
-14 + 32 = 18 mean 18/6 = 3 median 5+7 = 12 and 12/2 = 6
So that could also work! There are actually many options that would be correct!
Answer:
10.85
Step-by-step explanation:
hope its right :)