Respuesta :
Step 1
Given;
The weights (in ounces) of 20 tomatoes are shown below.
2.0
2.1
2.2
2.3
2.4
2.4
2.5
2.5
2.6
2.6
2.7
2.7
2.7
2.8
2.8
2.8
2.9
2.9
3.0
3.0
What is the 5 number summary for this data?
Step 2
A five-number summary is especially useful in descriptive analyses or during the preliminary investigation of a large data set. A summary consists of five values: the most extreme values in the data set (the maximum and minimum values), the lower and upper quartiles, and the median.
The first quartile is the median of the lower data set
[tex]\begin{gathered} 2.0,2.1,2.2,2.3,2.4,2.4,2.5,2.5,2.6,2.6 \\ The\text{ median here is;} \\ \frac{2.4+2.4}{2}=2.4 \end{gathered}[/tex][tex]Q_1\text{ or lower quartile= 2.4}[/tex]The third quartile is the median of the upper data set
[tex]\begin{gathered} 2.7,2.7,2.7,2.8,2.8,2.8,2.9,2.9,3.0,3.0 \\ The\text{ median here is;} \\ \frac{2.8+2.8}{2}=2.8 \\ Q_3\text{ or upper quartile=2.8} \end{gathered}[/tex]The second quartile or median is given as;
[tex]\begin{gathered} 2.0,2.1,2.2,2.3,2.4,2.4,2.5,2.5,2.6,2.6,2.7,2.7,2.7,2.8,2.8,2.8,2.9, \\ 2.9,3.0,3.0 \\ Median=\frac{2.6+2.7}{2}=2.65 \\ \end{gathered}[/tex]The minimum value is the smallest value thus;
[tex]2.0[/tex]The maximum is the largest value thus;
[tex]3.0[/tex]Answer;
[tex]\begin{gathered} The\text{ first quartile=2.4} \\ The\text{ second quartile or median=2.65} \\ The\text{ third quartile=2.8} \\ The\text{ minimum=2.0} \\ The\text{ maximum=3.0} \end{gathered}[/tex]Otras preguntas
