Questions: 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. 9 2 3 0 8 8 9 7 9 4 2 3 7 1 6 3 2 7 1 0 6 5 0 2 0 6 8 8 a. Find the data set's first, second, and third quartiles. Q1=□ Q2=□ Q3=□ (Type integers or decimals. Do not round.)

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.
9 2 3 0 8 8 9 7 9
4 2 3 7 1 6 3 2 7
1 0 6 5 0 2 0 6 8
8
a. Find the data set's first, second, and third quartiles.
Q1=□
Q2=□
Q3=□
(Type integers or decimals. Do not round.)

Transcript text: Part 1 of 2 Points: 0.5 of 1 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{tabular}{lllllllll} 9 & 2 & 3 & 0 & 8 & 8 & 9 & 7 & 9 \\ 4 & 2 & 3 & 7 & 1 & 6 & 3 & 2 & 7 \\ 1 & 0 & 6 & 5 & 0 & 2 & 0 & 6 & 8 \\ 8 & & & & & & & & \end{tabular} a. Find the data set's first, second, and third quartiles. \[ \begin{array}{l} \mathrm{Q}_{1}=\square \\ \mathrm{Q}_{2}=\square \\ \mathrm{Q}_{3}=\square \end{array} \] (Type integers or decimals. Do not round.)

Solution

Solution Steps

Step 1: Sort the Dataset

The sorted dataset is: [0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9].

Step 2: Calculate the Position of Quartiles

The position for Q1 is calculated using the formula: $\frac{1}{4}(n+1) = 7.25$. The position for Q2 (Median) is calculated using the formula: $\frac{1}{2}(n+1) = 14.5$. The position for Q3 is calculated using the formula: $\frac{3}{4}(n+1) = 21.75$.

Step 3: Extract Quartiles

Q1 (First Quartile) is found at position 7.25: 2. Q2 (Second Quartile or Median) is found at position 14.5: 4.5. Q3 (Third Quartile) is found at position 21.75: 7.75.