Population variances and sample variance with example?

There is a brief table in Mario Triola's Elementary Statistics text. In the 9th edition it is on pages 354 - 355 with an example.

The variance is: 1.6709957376e+13

No.

the small greek letter sigma squared.

You cannot prove it because it is not true.The expected value of the sample variance is the population variance but that is not the same as the two measures being the same.