Answer:
y= 6
Step-by-step explanation:
A horizontal line means y = something ( the x value will change, but y remains the same)
In this case, the y value is 6
y= 6
The mean absolute deviation of the following set of data is 4.5
Step-by-step explanation:
We need to find the mean absolute deviation of the following set of data.
10,20,12,4,18,8,14,18
For finding mean absolute deviation, first we need to find the mean of the given data set.
The formula used to calculate mean is:
Sum of all data points: 10+20+12+4+18+8+14+18 = 104
Number of data points = 8
So, mean is:
Now, we will subtract 13 from the given data points:
10 - 13 = -3
20 - 13 = 7
12 - 13 = -1
4 - 13 = -9
18 -13 = 5
8 - 13 = -5
14 - 13 = 1
18 - 13 = 5
We will take absolute values i.e |-a|=a
So, now the numbers will be:
3,7,1,9,5,5,1,5
We will now find absolute mean deviation by finding mean of newly calculate values
Sum of all data points = 3+7+1+9+5+5+1+5
Number of data points = 8
So, the mean absolute deviation of the following set of data is 4.5
You should ask for help,Don't be embarrassed to ask.
Answer:
z-value of rachel = 1.875
z-value of rob = -2
z-value of Rachel is more than that of rob. Thus rob is earning below average and rachel is earning above average.
Step-by-step explanation:
Let's denote the salary of Rob and Rachel per year by X. So, X = $50,000
We are told that;
For Rachel's industry;
Mean salary;μ1 = $35,000
Standard deviation;σ1 = $8,000
For Rob's industry;
Mean salary;μ2 = $60,000
Standard deviation;σ2 = $5,000
Formula for z - value is;
z = (X - μ)/σ
Thus;
z-value for rob is;
z2 = (X - μ2)/σ2
z2 = (50000 - 60000)/5000
z2 = -2
z-value for rachel is;
z1 = (X - μ1)/σ1
z1 = (50000 - 35000)/8000
z1 = 1.875
z-value of Rachel is more than that of rob. Thus rob is earning below average and rachel is earning above average.
