Question
The data set on the right represents square v COMPLETE Which formula should be used to calculate the variance? square COMPLETE What is the variance? square A teacher recorded all of his students' grades on the final exam as: 62,77,78,80,82,82,83,84,85,87,89,95 Consider the formulas: A s^2=((x_(1)-bar (x))^2+(x_(2)-bar (x))^2+ldots +(x_(n)-bar (x))^2)/(n-1) B s=sqrt (((x_(1)-bar (x))^2+(x_(2)-bar (x))^2+ldots +(x_(n)-bar (x))^2)/(n-1)) C. sigma ^2=((x_(1)-mu )^2+(x_(2)-mu )^2+ldots +(x_(N)-mu )^2)/(N) D sigma =sqrt (((x_(1)-mu )^2+(x_(2)-mu )^2+ldots +(x_(N)-mu )^2)/(N))
Solution
4.3
(213 Votos)
Eduardo
Avançado · Tutor por 1 anos
Resposta
To calculate the variance, we need to use formula A:
where
are the data points and
is the mean of the data.To find the mean, we add up all the grades and divide by the number of students:
Now we can calculate the variance using formula A:
Calculating each term:
Adding these up:
Dividing by 11:
Therefore, the variance is approximately 65.36.