Question

In the following table, the responses of 5 respondents are tabulated to determine the level of satisfaction with theaters. respondent 1 4 respondent 2 5 respondent 3 5 respondent 4 3 respondent 4 5 5 5 2 4 gular Snie assertion I like watching movies I often go to the cinema the service in the cinemas is excellent I consider the appropriate box office price 5 4 5 3 4 3 2 4 3 4 totals if the likert scale was used: strongly agree 5, agree 4, undecided 3, disagree 2 and strongly disagree 1: a- present the total score of each respondent b-determine the mode and the median for each statement c-determine the interval in the preference or the general range of the survey d-determine the average of each respondent

Answer 1

a) Total score of each respondent:

respondent 1 = 4 + 5 + 5 + 3 =17

respondent 2 = 5 + 3 + 4 + 2 = 14

respondent 3 = 5 + 5 + 5 + 4 = 19

respondent 4 = 3 + 2 + 3 + 3 = 11

respondent 5 = 5 + 4 + 4 + 4 =17

b) Mode: The value with highest frequency

Median: Middle most value. Here n = 5 odd therefore median is the (n+1)/2 = 3rd value of the ordered data.

Statement	median	mode
I like watching movies	5	5
I often go to the cinema	4	5
The service in the cinemas is excellent	4	4,5
I consider the appropriate box office price	3	3,4

c) Interval in the preference

preference	Interval
I like watching movies	3 - 5
I often go to the cinema	2 - 5
The service in the cinemas is excellent	3 - 5
I consider the appropriate box office price	2 - 4

General range of the survey = 2 - 5

d) Average of each respondent = Total score of each respondent / Number of assertion.

Respondent	Average
1	17/4 = 4.25 $\approx$ 4
2	14/4 = 3.5 $\approx$ 3
3	19/4 = 4.75 $\approx$ 5
4	11/4 = 2.75 $\approx$ 3
5	17/4 = 4.25 $\approx$ 4

** However since here likert scale is used and the data is ordinal average is not a good measure of central tendency.