Question

Twenty-five randomly selected students were asked the number of movies they watched the previous week. The results were as follows: 5 said none, 9 said one, 6 said two, 4 said three, and 1 said four For this set of data do the following:

a) Construct a table showing frequency, relative frequency, and cumulative frequency for this data.
b) Find the mean.
c) Find the median.
d) Find the mode

Answer 1

The constructed table of frequency, mean, media and mode are presented below; The mean is 1.48, median 1 and mode 1

How should the table look like?

A. construct table
Number of Movies Frequency R. Frequency C. Frequency

0 5 0.2 5
1 9 0.36 14

2 6 0.24 20

3 4 0.16 24

4 1 0.04 25

B. Find the mean

(0×5 + 1×9 + 2×6 + 3×4 + 4×1)/25

⇒ (0 + 9 + 12 + 12 + 4)/25

⇒ 37/25 = 1.48

C. The median is the middle value, therefore the median is 1
0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4.

D. the most frequent value in the dataset. Since 9 students said 1, the mode of the study is 1