Answer:
The mean absolute deviation of the data set is 6
Step-by-step explanation:
To find the mean absolute deviation of the data, start by finding the mean of the data set.
- Find the sum of the data values, and divide the sum by the number of data values.
- Find the absolute value of the difference between each data value and the mean: |data value – mean|.
- Find the sum of the absolute values of the differences.
- Divide the sum of the absolute values of the differences by the number of data values
∵ The data are 68 , 59 , 65 , 77 , 56
- Find their sum
∴ The sum of the data = 68 + 59 + 65 + 77 + 56 = 325
∵ The number of data in the set is 5
- Find the mean by dividing the sum of the data by 5
∴ The mean = 325 ÷ 5 = 65
- Find the absolute difference between the each data and the mean
∵ I68 - 65I = 3
∵ I59 - 65I = 6
∵ I65 - 65I = 0
∵ I77 - 65I = 12
∵ I56 - 65I = 9
- Find the sum of the absolute differences
∵ The sum of the absolute differences = 3 + 6 + 0 + 12 + 9
∴ The sum of the absolute differences = 30
Divide the sum of the absolute differences by 5 to find the mean absolute deviation
∴ The mean absolute deviation = 30 ÷ 5 = 6
The mean absolute deviation of the data set is 6
Answer:
y=2x+7
Step-by-step explanation:
When an equation is parallel to another, it shares the same slope.
Our original line is y=2x-8, and it is in slope-intercept form (y=mx+b)
This means that our slope is 2 because m represents the slope.
The slope of our parallel line will then also be 2.
<u>We can begin to plug that into point-slope form which is:</u>
y - y1 = m(x - x1)
This is where (x1, y1) is a point the line intersects, and m is the slope.
<u>Plugging in the slope, we'll have:</u>
y - y1 = 2(x - x1)
We also know it intersects the point (-4, -1)
We can plug this into our equation as well.
y - (-1) = m(x - (-4))
y+1=2(x+4)
<u>Now, we can simplify it into slope-intercept form:</u>
y+1=2(x+4)
Distribute
y+1=2x+8
Subtract 1 from both sides
y=2x+8-1
y=2x+7
Answer:
Well, if Jenny starts out with 43 apples but then gives 12 to John that would leave Jenny with 31 apples.
Step-by-step explanation:
43 - 12 = 31
(40 - 10) + (3 - 2)
40 - 10 = 30
3 - 2 = 1
30 + 1 = 31
Here is your answer, have a nice day!
Answer:
graph A
Step-by-step explanation: