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Answer:
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