Question

use the accompanying histogram to answer the following questions.

a) how many homes were included in the survey?
b) in how many homes were four televisions observed?
c) what is the modal class?
d) how many televisions were observed?
e) construct a frequency distribution from this histogram.

Explanation:

Read frequencies from the histogram

Using the Histogram Interpretation knowledge point

$$
LATEXBLOCK0
$$

Calculate total number of homes

Using the Histogram Interpretation knowledge point

$$
LATEXBLOCK1
$$

Determine homes with four televisions

Using the Histogram Interpretation knowledge point

$$ f(4) = 6 $$

Identify the modal class

Using the Modal Class knowledge point

$$
LATEXBLOCK2
$$

Calculate total number of televisions observed

Using the Histogram Interpretation knowledge point

$$
LATEXBLOCK3
$$

Construct the frequency distribution

Using the Frequency Distribution knowledge point

$$
LATEXBLOCK4
$$

Answer:

a) There were 30 homes included in the survey.

b) In 6 homes, four televisions were observed.

c) The modal class is 2 televisions.

d) There were 87 televisions observed.

e) The frequency distribution is:

Televisions	Number of Homes
2	9
3	7
4	6
5	4