What is the interquartile range of the data displayed in this box-and-whisker plot? box-and-whisker plot ranging from 34 to 58 with ticks at increments of 1. plot defined by points at 35, 42, 49, 54, 57. a box runs from 42 to 54.

The interquartile range= 12

Step-by-step explanation:

From the given the lower quartile = 42

the middle quartile = 49

The upper quartile = 54

We know that the  interquartile range is given by:=-

Interquartile range= upper quartile- lower quartile or

⇒

Hence, the interquartile range of the data displayed in this box-and-whisker plot is 12.

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

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