Complete these two different sets of data so that they each have six values and a mean of 21 . 20,20.5,20.5,21.5,21.5, 20,21,21,21,21

The complete first set is;

20, 20.5, 20.5, 21.5, 21.5, 22

The complete second set is;

20, 21, 21, 21, 21, 22

Step-by-step explanation:

The mean or the average value of a data set is simply;

(sum of the values in the data set) / ( number of values in the set)

In the first set we are given the following values;

20,20.5,20.5,21.5,21.5

We are required to complete this set so that we have a total of 6 values with a mean of 21.

We let the sixth value be x. Going by the above definition of the mean we have the following equation;

We simplify the equation and solve for x;

The complete set is thus;

20,20.5,20.5,21.5,21.5,22

In the second set we are given the following values;

20,21,21,21,21

We are also required to complete this set so that we have a total of 6 values with a mean of 21.

We let the sixth value be y. Going by the above definition of the mean we have the following equation;

We simplify the equation and solve for y;

The complete set is thus;

20,21,21,21,21,22

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: