Respuesta :
To obtain the information requested in the question, the following steps are necessary:
Step 1: Write out the values from the box plot as a sequence of numbers, as follows:
[tex]0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,6[/tex]Step 2: Now, that we have the values written out as above, we can proceed to answering the questions, as follows:
a) To obtain the number of students that have at least 4 siblings (that is, more than 4 siblings), we count the number of times the numbers 4 and 6 occur.
By counting, we get: 5
Therefore, the number of students that have at least 4 siblings is: 5
b) To obtain the number of students that have no siblings (0 siblings), we count the number of times the number 0 occurs.
By counting, we get: 3
Therefore, the number of students that have at least 0 siblings is: 3
c) To obtain the mean (average) number of siblings, we proceed as follows:
[tex]average=\frac{sum\text{ of all the number of siblings}}{\text{total number of students}}[/tex]Therefore:
[tex]\begin{gathered} \text{average}=\frac{0+0+0+1+1+1+2+2+2+3+3+3+3+3+3+4+4+4+6}{20} \\ \text{average}=\frac{45}{20}=\frac{9}{4}=2.25 \\ \text{average}=2.25 \end{gathered}[/tex]Therefore, the mean (average) number of siblings is 2.25 (approximately 2)
