Health care issues are receiving much attention in both academic and political arenas. A sociologist recently conducted a survey of citizens over 60 years of age whose net worth is too high to qualify for Medicaid. The ages of 14 senior citizens were as follows:


60

61

62

63

64

65

66

68

68

69

70

73

73

74


Determine the third quartile of the ages of the senior citizens.

74.75


77.75


70.75


84.75

1 answer

To determine the third quartile of the ages of the senior citizens, we first need to organize the ages in ascending order:

60, 61, 62, 63, 64, 65, 66, 68, 68, 69, 70, 73, 73, 74

The total number of ages is 14, so the first quartile would be at the (1/4) * 14 = 3.5th position, which is between the 3rd and 4th values. Since there is no exact middle value in this scenario, we take the average of the two middle values:

(62 + 63)/2 = 62.5

Therefore, the first quartile is 62.5.

Similarly, the third quartile would be at the (3/4) * 14 = 10.5th position, which is between the 10th and 11th values. Again, we take the average of the two middle values:

(68 + 68)/2 = 68

Therefore, the third quartile of the ages of the senior citizens is 68.