(Solved): #10 Draw a normal curve showing the mean and standard deviation and label the axis. 9. Calcul ...

#10 Draw a normal curve showing the mean and standard deviation and label the axis.

9. Calculate the mean, standard deviation, and variance for the following sample: \[ 55,54,59,55,52,51,57,49,61,57 \] Mean: \( (55,54,59,55,52,51,57,49,61,57) / 10=55 \) Standard deviation: \[ \begin{array}{l} \left((55-55)^{2}+(54-55)^{2}+(59-55)^{2}+(55-55)^{2}+(52-55)^{2}+(51-55)^{2}+(57-55)^{2}+(49-\right. \\ \left.55)^{2}+(61-55)^{2}+(57-55)^{2}\right) /(10-1)=3.68 \end{array} \] Variance: \( 3.68^{\wedge} 2=13.56 \) 10. Draw a normal curve showing the mean and standard deviation and label the axis: