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

Answer:

$Mean = 5.45$

Step-by-step 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:

$Mean = \frac{\sum fx}{\sum f}$

So, we have:

$Mean = \frac{0*1 + 1*2 + 2*1 + 3*1+4*2+5*6+6*7+7*6+8*5}{1+2+1+1+2+6+7+6+5}$

$Mean = \frac{169}{31}$

$Mean = 5.45161290323$

$Mean = 5.45$ -- approximated