What is the Interquartile Range for the following data set?
(5,6,7,3,9,8,3,1, 6, 7,7}
IQR:

IQR = 4

Step-by-step explanation:

The interquartile range is the difference between the upper quartile and the lower quartile.

The first step is to find the median of the data set.

The median is the middle value of the data arranged in ascending order.

Arranging the data in ascending order

1 , 3 , 3 , 5 , 6 , 6 , 7 , 7 , 7 , 8 , 9

                        ↑ median is 6

The upper quartile is the middle value to the right of the median

7 , 7 , 7 , 8 , 9

         ↑ upper quartile is 7

The lower quartile is the middle value to the left of the median

1 , 3 , 3 , 5 , 6

         ↑ lower quartile is 3

Thus

Interquartile range = 7 - 3 = 4

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

4.08%

step-by-step explanation: