Which of the following is the formula used to calculate the variance of a set of data
2 answers:
Answer:
(A) s^{2}=\frac{1}{n-1}\sum_{i}^{n}(x_{i}-\bar{x})^{2}
Step-by-step explanation:
Variance is the expectation of the squared deviation from the mean of x. Variance of the set of data can be discrete, continuous or mixed.
In order to calculate the variance of the set of the provided data, we need = Terms in set of data,
\bar{x}= Sample mean
∑= sum,
n= sample size.
The variance can be calculated as:
s^{2}=\frac{1}{n-1}\sum_{i}^{n}(x_{i}-\bar{x})^{2}
where is the variance and is always measured in squared units.
The correct formula is option (A),since it consists of summation of the square of the difference of the terms in the data and the mean, also variance is the measure of how far is each value in the given data from the mean, which is the correct formulation of the variance.
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Answer:
See below, please!
Step-by-step explanation:
We can set up a system of equations to model this problem. Let's consider the student's ticket as x, and y for the adult ticket.
So since the student ticket is $1.50, and adult is $4, we can set up the following equation: , since they collected $5050 total.
We can set up another equation modeling the number of people who came to the game. This would be x+y=2200.
Solve this, and we get x= 1500 and y=700. So, they sold 1500 student tickets and 700 adult tickets.
Hope this helped!