Question

The US Census Bureau provides statistics on family life in the United States, including the age at the time of first marriage, current marital status, and size of household. The following data show the age at the time of first marriage for a sample of men and a sample of women.

Men
26, 23, 28, 25, 27, 30, 26, 35, 28, 21, 24, 27, 29, 30, 27, 32, 27, 25 Women
20, 28, 23, 30, 24, 29, 26, 25,
22, 22, 25, 23, 27, 26, 19

      

STAT 210

Chapter 2
Exercise Questions

    

Exercise Question 1

For both men and women,

→ determine the median age at the time of first marriage. → compute the first and third quartiles.
→ determine the variance and standard deviation.

Answer 1

Solution:-

Table 1:-

	X	(X-μ)^2			Y	(Y-μ)^2
	21	38.71605			19	31.36
	23	17.82716			20	21.16
	24	10.38272			22	6.76
	25	4.938272			22	6.76
	25	4.938272			23	2.56
	26	1.493827			23	2.56
	26	1.493827			24	0.36
	27	0.049383			25	0.16
	27	0.049383			25	0.16
	27	0.049383			26	1.96
	27	0.049383			26	1.96
	28	0.604938			27	5.76
	28	0.604938			28	11.56
	29	3.160494			29	19.36
	30	7.716049			30	29.16
	30	7.716049		Total=	369	141.6
	32	22.82716		Mean=	24.6
	35	60.49383		Var(s^2)=	10.11429
Total=	490	183.1111		Std.Dev.(s)=	3.180296
Mean=	27.22222
Var(s^2)=	10.77124
Std.Dev.(s)=	3.281957