Question

using the following data set; 17,23,9,12,14,11,5,8,10,15,16,10,9,9,10,9,11,20,21

a: compute the sum of squares of the data set using the computational formula

b:compute the standard deviation of the data set, assuming thay the data set is a sample

Answer 1

	x	x^2	(x-xbar)^2
	17	289	19.545241
	23	529	108.597241
	9	81	12.809241
	12	144	0.335241
	14	196	2.019241
	11	121	2.493241
	5	25	57.441241
	8	64	20.967241
	10	100	6.651241
	15	225	5.861241
	16	256	11.703241
	10	100	6.651241
	9	81	12.809241
	9	81	12.809241
	10	100	6.651241
	9	81	12.809241
	11	121	2.493241
	20	400	55.071241
	21	441	70.913241
Total	239	3435	428.631579
	xbar =	∑x/n =	239/19=	12.579

1. Sum of squares is given by,

2. Standard deviation of sample is given by,

= 4.8798