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:
The sequence diverges.
Step-by-step explanation:
A sequence converges when
is a real number.
In this question, the sequence given is:
The cosine is always going to be between -1 and 1, so for the convergence of the sequence, we look it as: . So
Since the limit is not a real number, the sequence diverges.