Question

A random sample of 75 registered voters asked to describe their political views. The following data are the result of that survey. Category #of Responses Extremely Liberal 8 Liberal 6 Slightly Liberal 17 Moderate 2 Slightly Conservative 4 Conservative 16 Extremely Conservative 22 What is the median category for this data?

Answer 1

From the given data, the following Table is formed:

Category	# of responses	Cumulative Responses
Extremely liberal	8	8
Liberal	6	14
Lightly liberal	17	31
Moderate	2	33
Slightly conservative	4	37
Conservative	16	53
Extremely conservative	22	75
Total	75

Total Frequency = N = 75

So,

Median is the size of N/2th item.

= Size of 37.5th item

Here, 37.5 is reached at 53 and its corresponding variate value is Conservative.

So,

Median category for this data is:

Conservative