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. a. find the data - sets first, second, and third quartiles. $q_1=square$ $q_2=square$ $q_3=square$ (type integers or decimals. do not round.)

Explanation:

Step1: Sort the data

First, sort the given data set in ascending - order: 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 4, 5, 6, 6, 6, 6, 7, 7, 8, 8, 9

Step2: Calculate the position of Q2 (median)

The number of data points \(n = 28\). The position of the median \(Q2\) is \(\frac{n + 1}{2}=\frac{28+1}{2}=14.5\). So, \(Q2=\frac{2 + 2}{2}=2\)

Step3: Calculate the position of Q1

The lower - half of the data set contains the first 14 data points. The position of \(Q1\) in the lower - half is \(\frac{14 + 1}{2}=7.5\). So, \(Q1=\frac{0+0}{2}=0\)

Step4: Calculate the position of Q3

The upper - half of the data set contains the last 14 data points. The position of \(Q3\) in the upper - half is \(\frac{14 + 1}{2}=7.5\). So, \(Q3=\frac{6+6}{2}=6\)

Answer:

\(Q1 = 0\)
\(Q2 = 2\)
\(Q3 = 6\)