Question

Consider the following set of ungrouped sample data. Answer parts A through D.

5   4   4   4   0   2   3   7   7   8  

​(A) Find the mean and standard deviation of the ungrouped sample data.

x=

​(B) What proportion of the measurements lies within 1 standard deviation of the​ mean? Within 2 standard​ deviations? Within 3 standard​ deviations?

​(C) Based on your answers to part​ (B), would you conjecture that the histogram is approximately bell​ shaped? Explain.

(D) To confirm your​ conjecture, construct a histogram with the class interval width 1 starting at 0.5.

​(Type an integer or a​ decimal.)

Answer 1

A)

Mean=4.4

Standard deviation = 2.4585~2.459