Question
The data set 5, 6, 7, 8, 9, 9, 9, 10, 12, 14, 17, 17, 18, 19, 19 represents the number of hours spent on the Internet in a week by students in a mathematics class.
Identify the box-and-whisker plot that represents the data.
Hint:
Check the data in increasing order and find the maximum, minimum and median value of the data and identify the box plot ranging with these values.
The correct answer is:
The given data is in ascending order.
5, 6, 7, 8, 9, 9, 9, 10, 12, 14, 17, 17, 18, 19, 19
From observation Minimum value = 5 and Maximum value = 19
A total of 15 elements are present as 15 ( 7+1+7 )
So, the 8th element is the middle element
5, 6, 7, 8, 9, 9, 9, 10(8th element), 12, 14, 17, 17, 18, 19, 19
median = 10.
As per representation the start point of the line of box plot (i.e min ) should lie at 5 and the end point of the line of box plot (i.e max ) should lie at 19. Also, the vertical line that lies inside the box is median should lie at 10.
The diagram is as follows
As per representation the start point of the line of box plot (i.e min ) should lie at 5 and the end point of the line of box plot (i.e max ) should lie at 19. Also, the vertical line that lies inside the box is median should lie at 10.
Here is the interpretation of the box plot .
The first point on the line on the box is the minimum value of the box plot.
The last point on the line after the box is the maximum value of the box plot.
The vertical line inside the box represents the median value of the box plot.
Related Questions to study
Find the mean, median, mode(s), and range of the following data.
24, 12, 10, 15, 10, 22, 12
Find the mean, median, mode(s), and range of the following data.
24, 12, 10, 15, 10, 22, 12
Find the minimum value in the box plot below.
Here is the interpretation of the box plot .
The first point on the line on the box is the minimum value of the box plot.
Find the minimum value in the box plot below.
Here is the interpretation of the box plot .
The first point on the line on the box is the minimum value of the box plot.
The box plot below summarizes data from a survey of households about the number of mobiles they have.
Identify the statement that is true.
Here is the interpretation of the box plot .
The last point on the line after the box is the maximum value of the box plot.
The box plot below summarizes data from a survey of households about the number of mobiles they have.
Identify the statement that is true.
Here is the interpretation of the box plot .
The last point on the line after the box is the maximum value of the box plot.
