Answer:
Step-by-step 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:
[tex]X[bar]= \frac{sum(X*f(X))}{n}[/tex]
∑Xf(X)= 102+416+0+216= 734
[tex]X[bar]= \frac{734}{14}= 52.428 inches[/tex]
I hope it helps!
