Answer:
Explanation:
Hello!
The variable of interest is
X: height of a sixth-grade girl.
⇒The second column shows the possible values of height to be observed.(i.e. the possible values of the variable X)
⇒The first column shows the number of sixth-grade girls that were measured, they were sorted according to their height.(i.e. the frequency each value of X was observed"f(X)")
⇒The third column shows the Total height, it represents the product between the possible height value and the frequency it was observed, symbolically: x*f(X))
To know how many girls were measured, you have to calculate the total number of girls (column 1) n= 2 + 8 + 0 + 4 = 14 girls
To calculate the mean using data arranged in a frequency table you have to use the following formula:
![X[bar]= (sum(X*f(X)))/(n)](https://img.qammunity.org/2021/formulas/mathematics/college/tcbktohconh2lytw18lsvpqp0fe4mk2lgp.png)
∑Xf(X)= 102+416+0+216= 734
![X[bar]= (734)/(14)= 52.428 inches](https://img.qammunity.org/2021/formulas/mathematics/college/np1fssvd4uz99ohxupvqvk2xykvf8j0dda.png)
I hope it helps!