Question

Consider this data as POPULATION DATA. Answer A - D considering the data as population data.

Data: 105, 91, 52, 86, 100, 96 , 98 , 109 , 96, 84, 54

Question 5:

a) What is the population mean of these data points?

b) What is the sum of squares of these data points?

c) What is the population standard deviation of these data points?

d) What is the population variance of these data points?

E) What is the error between estimated mean and the true mean? (Please give as absolute value.)

F) What is the error between estimated variance and the true variance? (Please give as absolute value.)

Answer 1

a.

b.

x	x^2
105	11025
91	8281
52	2704
86	7396
100	10000
96	9216
98	9604
109	11881
96	9216
84	7056
54	2916
Total	89295

c. For variance

Create the following table.

data	data-mean	(data - mean)2
105	16.7273	279.80256529
91	2.7273	7.43816529
52	-36.2727	1315.70876529
86	-2.2727	5.16516529
100	11.7273	137.52956529
96	7.7273	59.71116529
98	9.7273	94.62036529
109	20.7273	429.62096529
96	7.7273	59.71116529
84	-4.2727	18.25596529
54	-34.2727	1174.61796529

d. So