Question

A sample was taken of the ages of 20 state senators this year and are listed below.

28
33
37
45
54
55
58
42
59
59
45
62
49
73
They are all running for reelection in four years, what will their new median age be?
50
77
51
78
52
79

Answer 1

Explanation:

To find the new median age of the state senators after four years, we need to consider that each senator's age will increase by four years.

First, let's add 4 years to each of the ages listed in the sample:

32\

37\

41\

49\

58\

59\

62\

46\

63\

63\

49\

66\

53\

77

Next, we arrange the new ages in ascending order:

32, 37, 41, 46, 49, 49, 53, 58, 59, 62, 63, 63, 66, 77

Now, we need to find the middle value, which is the new median age. Since there are 14 data points, the median will be the average of the seventh and eighth values.

The seventh value is 53, and the eighth value is 58.

Therefore, the new median age of the state senators after four years will be (53 + 58) / 2 = 55.5.

So, the new median age will be 55.5.