A given data set has: A mean of 26.5 An interquartile range of 5.5 A minimum of 21 And a maximum of 29 What measure describes all the values in the data set?

Mean

Step-by-step explanation:

The question lists some parameters and ask to know which of the listed parameters is for all values in the data. We answer by the following;

Interquartile range- the interquartile range is simply the difference between the upper quartile and the lower quartile. It does not work for all values in the dataset so

It cannot be the answer.

The minimum is the minimum value in the dataset. It is the smallest in value. It does not work for all values in the dataset.

The maximum is the number with the highest value. It does not work for all the values in the dataset

Mean is correct, all the values in the dataset are used to calculate the mean value

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be

0,0

step-by-step explanation: