Hello there. To solve this question, we'll have to take the mean value of a set of data values.
Given the set with the values
[tex]22,37,49,15,82[/tex]
We want to determine its mean value.
Remember that the mean of a set of values
[tex]x_1,x_2,\cdots,x_n[/tex]
Is given by the sum
[tex]\mu=\dfrac{x_1+x_2+\cdots+x_n}{n}[/tex]
In this case, notice we have 5 values, hence n = 5.
Plugging in the values, we'll get
[tex]\mu=\dfrac{22+37+49+15+82}{5}[/tex]
Adding the values
[tex]\mu=\dfrac{205}{5}[/tex]
Simplifying the fraction by a factor of 5, we'll get
[tex]\mu=41[/tex]
Therefore this is the mean of this set of values and is the answer contained in the first option A).
