Question

Find the variance and standard deviation for this data set

57010, 57700, 57890, 57930, 58810, 59940, 60050, 60380, 61530, 61640, 62210, 62450, 62560, 63050, 63140, 63300,63560, 63630, 64520, 64890, 64900, 65500, 65890, 66280, 66750, 67990, 69120, 69200, 69560, 69820, 69840, 70040, 72070, 72090, 72570, 73180, 75110, 75250, 76650, 77540, 79810, 80200, 82010, 83450, 84980, 87510, 88770, 89330, 90110, 96990, 102700

Answer 1

Since data values are so many, so we can use technology for calculate variance and standard deviation.

By using excel.

For calculate Variance

Command is =VAR( all data values) and hit enter

So in excel type any empty sell  

= VAR(57010, ........., 102700) and hit enter

Hence we get , Variance = 117240797

For calculate standerd deviation use excel command

=STDEV(All data values)

=STDEV(57010, ........, 102700) and hit enter

Hence we get, standare deviation = 10827.779

Ans :

Variance : 117240797

Standard deviation : 10827.779