Questions: For the data set 3, 6, 4, 13, 3, 7, 5, 13, 3, 7, 5, 15, 3, 8, 5, 27, 4, 8, 6, 6, 4, 11, Part 1 of 4 (a) Find the first and third quartiles. The first quartile is The third quartile is

For the data set 3, 6, 4, 13, 3, 7, 5, 13, 3, 7, 5, 15, 3, 8, 5, 27, 4, 8, 6, 6, 4, 11, Part 1 of 4 (a) Find the first and third quartiles. The first quartile is The third quartile is
Transcript text: For the data set \begin{tabular}{llllllllllll} \hline 3 & 6 & 4 & 13 & 3 & 7 & 5 & 13 & 3 & 7 & 5 & 15 \\ 3 & 8 & 5 & 27 & 4 & 8 & 6 & 6 & 4 & 11 & & \\ \hline \end{tabular} Part 1 of 4 (a) Find the first and third quartiles. The first quartile is $\square$ The third quartile is $\square$
failed

Solution

failed
failed

Solution Steps

Step 1: Sort the Data

The sorted data is: [3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 6, 7, 7, 8, 8, 11, 13, 13, 15, 27]

Step 2: Calculate Quartile Positions

The position for the first quartile (Q1) is calculated as \(\frac{1}{4}(n+1)\) = 5.75 The position for the third quartile (Q3) is calculated as \(\frac{3}{4}(n+1)\) = 17.25

Step 3: Interpolation (if necessary)

Since the position for Q1 is not an integer, we interpolate to find Q1 = 4 Since the position for Q3 is not an integer, we interpolate to find Q3 = 8.75

Final Answer:

The first quartile (Q1) is 4 and the third quartile (Q3) is 8.75.

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
Solve the inequality. Graph the solutions. -18+2x-6 ≤ -6 Select the correct choice below and fill in any answer boxes in your choice. A. The solution is x= (Type an integer or a simplified fraction.) B. The solution is x ≤ or x ≥ (Type integers or simplified fractions.) The solution is -3^3 ≤ x ≤ 9^3. (Type integers or simplified fractions.) Di. The solution is all real numbers. E. There is no solution.
failedAnswered
Write the solution in interval notation and graph it. 7x + 1 ≤ 8x - 4 [5, ∞) (-∞, -4] [4, ∞) (-∞, 5] (-∞, ∞)
failedAnswered
An inelastic collision of two objects is characterized by the following. Total momentum of the system is conserved. Total kinetic energy of the system remains constant. Total energy of the system remains constant. A and C are both true. A and B are both true.
failedAnswered
Under which circumstances is an object's center of gravity equal to its center of mass? They are always equal. Only when the magnitude of the gravitational field is uniform Only when the gravitational field is uniform in both magnitude and direction They are never equal. Only when the direction of the gravitational field is uniform
failedAnswered
The image contains a graph or chart plotting two curves, one in red and one in blue, on a gridded coordinate plane. The curves appear to represent mathematical functions plotted against the x-axis. At several points along the x-axis, the values -3, 0, 2, and 3 are labeled.