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.

\

$$\begin{matrix} 6 & 2 & 4 & 4 & 4 & 9 & 1 & 1 & 9 \\\\ 6 & 0 & 9 & 2 & 4 & 1 & 9 & 9 & 4 \\\\ 1 & 9 & 3 & 8 & 0 & 4 & 1 & 0 & 4 \\\\ 7 & & & & & & & & \\end{matrix}$$

a. find the data sets first, second, and third quartiles.
\\(q_1 = 1\\)
\\(q_2 = 4\\)
\\(q_3 = 8.5\\)
(type integers or decimals. do not round.)

Explanation:

Sort the dataset

Using the Median Calculation and Percentiles and Quantiles knowledge points

$$
LATEXBLOCK0
$$

Calculate the second quartile (Q2)

Using the Median Calculation knowledge point

$$
LATEXBLOCK1
$$

Calculate the first quartile (Q1)

Using the Percentiles and Quantiles knowledge point

$$
LATEXBLOCK2
$$

Calculate the third quartile (Q3)

Using the Percentiles and Quantiles knowledge point

$$
LATEXBLOCK3
$$

Answer:

\(Q_1 = 1\)
\(Q_2 = 4\)
\(Q_3 = 8.5\)