Question

the data show the number of hours of television watched per day by a sample of 28 people. use technology to answer parts (a) and (b) below.

\

$$\begin{matrix} 7 & 7 & 8 & 8 & 3 & 9 & 8 & 9 & 4 \\\\ 6 & 7 & 4 & 6 & 9 & 6 & 5 & 0 & 9 \\\\ 5 & 7 & 5 & 1 & 3 & 3 & 5 & 1 & 7 \\\\ 6 & & & & & & & & \\end{matrix}$$

a. find the data sets first, second, and third quartiles.

\\(q_1 = 3.5\\)
\\(q_2 = 6\\)
\\(q_3 = 7\\)
(type integers or decimals. do not round.)

Explanation:

Sort the dataset

Using the Percentiles and Quantiles knowledge point

$$ \text{Raw data (28 values): } 7, 7, 8, 8, 3, 9, 8, 9, 4, 6, 7, 4, 6, 9, 6, 5, 0, 9, 5, 7, 5, 1, 3, 3, 5, 1, 7, 6 $$

$$ \text{Sorted data: } 0, 1, 1, 3, 3, 3, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 9, 9, 9, 9 $$

Find the second quartile

Using the Percentiles and Quantiles knowledge point

$$
LATEXBLOCK0
$$

Find the first quartile

Using the Percentiles and Quantiles knowledge point

$$
LATEXBLOCK1
$$

Find the third quartile

Using the Percentiles and Quantiles knowledge point

$$
LATEXBLOCK2
$$

Answer:

\(Q_1 = 4\)
\(Q_2 = 6\)
\(Q_3 = 7.5\)