Respuesta :
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;
[tex]21=\frac{20+20.5+20.5+21.5+21.5+x}{6}[/tex]
We simplify the equation and solve for x;
[tex]21=\frac{104+x}{6}\\126=104+x\\x=126-104\\x=22[/tex]
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;
[tex]21=\frac{20+21+21+21+21+y}{6}[/tex]
We simplify the equation and solve for y;
[tex]21=\frac{104+y}{6}\\126=104+y\\y=126-104\\y=22[/tex]
The complete set is thus;
20,21,21,21,21,22
Using the mean concept, the sixth term of both sets is 22.
What is mean?
Mean is the sum of the values divided by the number of values.
The first set is 20,20.5,20.5,21.5,21.5
Let us take the sixth term as x so that mean of the complete set is 21,
[tex]\frac{20+20.5+20.5+21.5+21.5+x}{6} = 21\\\\\frac{104+x}{6} = 21\\\\x = 22[/tex]
Second set is 20,21,21,21,21
Let us take the sixth term as y so that mean of the complete set is 21,
[tex]\frac{20+21+21+21+21+y}{6} = 21\\\\\frac{104+y}{6} =21\\\\y=22[/tex]
Therefore, Using the mean concept, the sixth term of both sets is 22.
To get more about the mean visit:
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