Answer:
Standard deviation = 8.27 percent
Step-by-step explanation:
Average = (Σx)/N
The average is the sum of variables divided by the number of variables.
x = each variable
N = number of variables = 5
Let the unknown percent be y
6 = (8 - 3 + 12 + 17 + y)/5
y = 30 - 34 = - 4
The standard deviation is the square root of variance. And variance is an average of the squared deviations from the mean.
Mathematically,
Standard deviation = σ = √[Σ(x - xbar)²/N]
x = each variable
xbar = mean = 6 percent
N = number of variables
σ = √[{(8 - 6)² + (-3 - 6)² + (12 - 6)² + (17 - 6)² + (-4 - 6)²}]/(5)]
σ = √[[(2)² + (-9)² + (6)² + (11)² + (-10)²]/(5)]
σ = √[(4 + 81 + 36 + 121 + 100)/(5)] = √(342/5) = 8.27 percent.
Answer:
$21.94
Step-by-step explanation:
I'm not sure how many pizzas were ordered, but let's say you just got one large pizza that was $18.
First, the sales tax - 6%
$18 + 6% = $19.08
Then you give a 15% tip.
$19.08 + 15% = $21.94
Answer:
A. The mean value is greater than the median value
Step-by-step explanation:
The median is found by rearranging the numbers from least to greatest and is the number that separates the lower half from the upper half. In this case that number was 0.75. The mean however is found by averaging all the numbers: adding them all up and dividing by the number of numbers. When I did that for this set of terms I got 1.08. Seeing as 1.08>0.75, the mean of the set is greater than the median.
Answer:
Step-by-step explanation:
Hello!
A linear regression for the price of renting a room in a hotel and the rating said hotel received was calculated from a sample of n= 25 hotels.
The theoretical regression model is E(Y)= α + βXi
And the estimated regression equation is: ^Y= a + bXi
Where:
The estimator for the slope is b= 125
And the estimator of the Y-intercept is a= -400
So for this example the estimated regression line for the price of the hotel rooms given the ratings of the hotel is:
^Y= -400 + 125 Xi
^Y= represents the estimated average price of a hotel room
a= -400 is the estimated average price of a hotel room when the rating of the hotel is zero.
b= 125 is the modification of the estimated average price of a hotel room when the rating of the hotel increases one unit.
I hope this helps!
