Question

Seniors want to use technology to stay​ connected, read magazines and​ emails, share photos and​ ideas, listen to​ music, find recipes and discount coupons and much more. The Ontario Society of Senior Citizens Organizations​ (OSSCO) offers a variety of computer training​ opportunities, including using​ self-help instructions on iPad technology. Consulting with 20 seniors helped OSSCO develop these​ self-help instructions for both individual users and trainers who work with seniors. The ages of the seniors are listed below.

What is the median of the​ observations?

77 74 72 82

92 80 67 95

71 94 75 98

82 68 87 69

74 87 76 79

A. 82.5

B. 78

C. 80.5

D. 74

Answer 1

Seniors want to use technology to stay connected.

The Ontario Society of Senior Citizens Organisations offer a variety of computer training opportunities.

Consulting with 20 seniors, OSSCO develops these self help instructions, for both individual users and trainers who work with seniors.

The ages of the seniors are listed below.

77 74 72 82

92 80 67 95

71 94 75 98

82 68 87 69

74 87 76 79

We have to find the median age of these seniors.

Now, to find the median, we first have to arrange the observations in ascending order.

After arranging, the observations are

67, 68, 69, 71, 72, 74, 74, 75, 76, 77, 79, 80, 82, 82, 87, 87, 92, 94, 95, 98.

Now, there are 20 values; so the median value of these obsevations must be the arithmetic mean of the 20/2, ie. the 10-th observations and the next, ie. the 11-th observation.

We note, that the 10-th observation is 77; and the 11-th observation is 79.

So, the median must be

=(77+79)/2

=78

The answer is

The median of these observations is option (B) 78.