Question

Five friends were comparing the height of their dogs. The heights at the shoulders were 600mm, 470mm, 170mm, 430mm and 300mm. What is the Standard Deviation (nearest integer) of the heights of these dogs

Answer 1

164.7

Explanation:

x x-x- (x-x-)2

170 | 170-394= -224 | 50,176

300 | 300-394= -94 | 8,836

430 | 430-394= 36 | 1,296

470 | 470-394= 76 | 5,776

600 | 600-394= 206 | 42,436

5-1=4

50,176+8,836+1,296+5,776+42,436= 108,520

so divide 108,520 by 4 108,520/4=27,130

sq 27,130

`√(x) 27,130` = 164.7118696390761026200902834146

164.7

Answer 2

The standard deviation of the height of the dogs provided is 107.