Question

The box plot below shows the total amount of time, in minutes, the students of a class surf the Internet every day:

A box plot is shown. The left-most point on the plot is 20 and the right-most point is 95. The box is labeled 40 on the left edge and 60 on the right edge. A vertical line is drawn inside the rectangle at the point 50.

Part A: List two pieces of information that are provided by the graph and one piece of information that is not provided by the graph. (4 points)

Part B: Calculate the interquartile range of the data, and explain in a sentence or two what it represents. (4 points)

Part C: Explain what affect, if any, there will be if an outlier is present. (2 points)

Answer 1

PART A: Two pieces of information that are included by the graph are the minimum value (20) and the maximum value (95). One piece of information that is not included in the graph is the number of students who surf the internet. (this one doesn't really need a step by step because it is just analyzing a graph)

PART B: The IQR is equal to 20. The IQR represents the mid-spread, or 50% of the data.

Step-By-Step:

To find the IQR, you need to subtract the first quartile from the third quartile. So to find the IQR we would need to subtract 60 (Q3) and 40 (Q1),

60-40 = 20

= 20.

20 is the IQR

PART C: If an outlier is present, it may affect the mean, but will not change the median or the mode.

Step-By-Step: An outlier is an abnormally large (or small) number in a given data set.

Best of luck,

Awesome (like me) Fellow sixth grader :)

Answer 2

PART A: Two pieces of information that are included by the graph are the minimum value (20) and the maximum value (95). One piece of information that is not included in the graph is the number of students who surf the internet. (this one doesn't really need a step by step because it is just analyzing a graph)

PART B: The IQR is equal to 20. The IQR represents the mid-spread, or 50% of the data.

Step-By-Step:

To find the IQR, you need to subtract the first quartile from the third quartile. So to find the IQR we would need to subtract 60 (Q3) and 40 (Q1),

60-40 = 20

= 20.

20 is the IQR

PART C: If an outlier is present, it may affect the mean, but will not change the median or the mode.

Step-By-Step: An outlier is an abnormally large (or small) number in a given data set.

Best of luck,

Some 6th grader.