We appreciate your visit to Given that the mean of tex 16 w 17 9 x 2 y 7 tex and tex z tex is 11 find the mean of. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
We are given that the mean of the numbers
[tex]$$16,\, w,\, 17,\, 9,\, x,\, 2,\, y,\, 7,$$[/tex]
and [tex]$$z$$[/tex]
is 11. Since there are 9 numbers in total, the total sum of all the numbers is
[tex]$$\text{Total Sum} = 11 \times 9 = 99.$$[/tex]
Next, we identify the known numbers:
[tex]$$16,\, 17,\, 9,\, 2,\, 7.$$[/tex]
Their sum is:
[tex]$$16 + 17 + 9 + 2 + 7 = 51.$$[/tex]
Now, let [tex]$S$[/tex] be the sum of the unknown variables [tex]$w,\, x,\, y,\, z$[/tex]. Then,
[tex]$$S = \text{Total Sum} - \text{Sum of known numbers} = 99 - 51 = 48.$$[/tex]
Since there are 4 unknown numbers ([tex]$w, x, y,$[/tex] and [tex]$z$[/tex]), their mean is calculated as:
[tex]$$\text{Mean of } w,\, x,\, y,\, z = \frac{S}{4} = \frac{48}{4} = 12.$$[/tex]
Thus, the mean of [tex]$w, x, y, z$[/tex] is
[tex]$$\boxed{12}.$$[/tex]
[tex]$$16,\, w,\, 17,\, 9,\, x,\, 2,\, y,\, 7,$$[/tex]
and [tex]$$z$$[/tex]
is 11. Since there are 9 numbers in total, the total sum of all the numbers is
[tex]$$\text{Total Sum} = 11 \times 9 = 99.$$[/tex]
Next, we identify the known numbers:
[tex]$$16,\, 17,\, 9,\, 2,\, 7.$$[/tex]
Their sum is:
[tex]$$16 + 17 + 9 + 2 + 7 = 51.$$[/tex]
Now, let [tex]$S$[/tex] be the sum of the unknown variables [tex]$w,\, x,\, y,\, z$[/tex]. Then,
[tex]$$S = \text{Total Sum} - \text{Sum of known numbers} = 99 - 51 = 48.$$[/tex]
Since there are 4 unknown numbers ([tex]$w, x, y,$[/tex] and [tex]$z$[/tex]), their mean is calculated as:
[tex]$$\text{Mean of } w,\, x,\, y,\, z = \frac{S}{4} = \frac{48}{4} = 12.$$[/tex]
Thus, the mean of [tex]$w, x, y, z$[/tex] is
[tex]$$\boxed{12}.$$[/tex]
Thanks for taking the time to read Given that the mean of tex 16 w 17 9 x 2 y 7 tex and tex z tex is 11 find the mean of. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
