What is the mean, median, mode, and range of the following numbers: 12,15,17,16,and 10

Hello There!

Mean: Average of numbers in a set of data.

STEP 1: Add the numbers in the data set. In this case, we would add

12 + 15 + 17 + 16 + 10 = 70

STEP 2: Divide the sum by the number of digits you added. We would divide 70 "sum of numbers" by 5 "number of digits" and would get an answer of 14.

Median: The middle number when all the numbers are listed in order.

STEP 1: Put the numbers in order.

-Least To Greatest- 10-12-15-16-17

STEP 2: Cross out each number on the left and on the right until we come across one number in the middle. The number in the middle is 15 so our median is 15.

Mode: The number that occurs most often in a set of numbers.

There would be no mode for this set of numbers. This is because no numbers repeat in the set so there would be no mode.

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