Question

Which statement is true about the box plots?

Both the ranges and the interquartile ranges for the data sets are the same.
Neither the ranges nor the interquartile ranges for the data sets are the same.
The interquartile ranges for the box plots are the same, but their ranges are different.
The ranges for the box plots are the same, but their interquartile ranges are different.

Answer 1

Answer:

The correct option is 4.

Step-by-step explanation:

In a box plot the left side the left corners of he box represents Q₁, the right corners of the box represents Q₃. The line inside the box represents the median of the data.

The end point of the line connecting the box from the left side is representing the minimum value of the data and end point of the line connecting the box from the right side is representing the maximum value of the data.

From the given figure we can say that for Marc's class

Minimum value = 1

Maximum value = 10

Q₁ = 3

Q₂=Median = 5

Q₃ = 9

Range = Maximum value - Minimum value = 10 - 1 = 9

Interquartile Range = Q₃ - Q₁ = 9 - 3 = 6

From Sue's class

Minimum value = 3

Maximum value = 12

Q₁ = 5

Q₂=Median = 9

Q₃ = 10

Range = Maximum value - Minimum value = 12-3 = 9

Interquartile Range = Q₃ - Q₁ = 10 - 5 = 5

Therefore the range for both box plot is same but their interquartile ranges are different. Option 4 is incorrect.

Answer 2

Answer:

D.

Is the range for the box plots are the same, but their interquaritle ranges are different