Question

After completing a documentary film about the history of different font styles, the producer wonders if people will find the topic a bit boring. To measure boredom, she asks people to watch the film and then videotapes them while they are watching the film. Later, a research assistant watches the videos and records the number of times each person yarns. The data are as follows:

X F.
0 1
1 2
2 1
3 1
4 2
5 6
6 7
7 6
8 5
Compute the mean.
a. 5
b. 5.45
c. 4.5
d. 6.45
e. 6
f. 7

Answer 1

`Mean = 5.45`

Explanation:

Given

`\begin{array}{cc}{x} & {f} & {0} & {1} & {1} & {2} \ \\ {3} & {1} & {4} & {2} & {5} & {6} & {6} & {7} & {7} & {6} & {8} & {5}\ \end{array}`

Required

Calculate the mean

Mean is calculated as:

`Mean = (\sum fx)/(\sum f)`

So, we have:

`Mean = (0*1 + 1*2 + 2*1 + 3*1+4*2+5*6+6*7+7*6+8*5)/(1+2+1+1+2+6+7+6+5)`

`Mean = (169)/(31)`

`Mean = 5.45161290323`

`Mean = 5.45` -- approximated