A data set consists of the data given below plus one more data point.

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Keyyy

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A data set consists of the data given below plus one more data point. When the additional point is included in the data set the sample mean of the resulting data set is 29.083. What is the value of the additional data point?

Does anyone know how to find the additional data point

[FONT=MathJax_Main]12[/FONT][FONT=MathJax_Main],[/FONT][FONT=MathJax_Main]32[/FONT][FONT=MathJax_Main],[/FONT][FONT=MathJax_Main]40[/FONT][FONT=MathJax_Main],[/FONT][FONT=MathJax_Main]26[/FONT][FONT=MathJax_Main],[/FONT][FONT=MathJax_Main]53[/FONT][FONT=MathJax_Main],[/FONT][FONT=MathJax_Main]46[/FONT][FONT=MathJax_Main],[/FONT][FONT=MathJax_Main]35[/FONT][FONT=MathJax_Main],[/FONT][FONT=MathJax_Main]24[/FONT][FONT=MathJax_Main],[/FONT][FONT=MathJax_Main]27[/FONT][FONT=MathJax_Main],[/FONT][FONT=MathJax_Main]22[/FONT][FONT=MathJax_Main],[/FONT][FONT=MathJax_Main]22[/FONT]​
 
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Keyyy said:
A data set consists of the data given below plus one more data point. When the additional point is included in the data set the sample mean of the resulting data set is 29.083. What is the value of the additional data point?

Does anyone know how to find the additional data point

[FONT=MathJax_Main]12[/FONT][FONT=MathJax_Main],[/FONT][FONT=MathJax_Main]32[/FONT][FONT=MathJax_Main],[/FONT][FONT=MathJax_Main]40[/FONT][FONT=MathJax_Main],[/FONT][FONT=MathJax_Main]26[/FONT][FONT=MathJax_Main],[/FONT][FONT=MathJax_Main]53[/FONT][FONT=MathJax_Main],[/FONT][FONT=MathJax_Main]46[/FONT][FONT=MathJax_Main],[/FONT][FONT=MathJax_Main]35[/FONT][FONT=MathJax_Main],[/FONT][FONT=MathJax_Main]24[/FONT][FONT=MathJax_Main],[/FONT][FONT=MathJax_Main]27[/FONT][FONT=MathJax_Main],[/FONT][FONT=MathJax_Main]22[/FONT][FONT=MathJax_Main],[/FONT][FONT=MathJax_Main]22[/FONT]​
Click to expand...

Suppose you have a set of data and the mean is m1 and if you add one point to it the mean is m2. What do n*m1 and (n+1)*m2 have in common?
 
Keyyy said:
A data set consists of the data given below plus one more data point. When the additional point is included in the data set the sample mean of the resulting data set is 29.083. What is the value of the additional data point?

Does anyone know how to find the additional data point

[FONT=MathJax_Main]12[/FONT][FONT=MathJax_Main],[/FONT][FONT=MathJax_Main]32[/FONT][FONT=MathJax_Main],[/FONT][FONT=MathJax_Main]40[/FONT][FONT=MathJax_Main],[/FONT][FONT=MathJax_Main]26[/FONT][FONT=MathJax_Main],[/FONT][FONT=MathJax_Main]53[/FONT][FONT=MathJax_Main],[/FONT][FONT=MathJax_Main]46[/FONT][FONT=MathJax_Main],[/FONT][FONT=MathJax_Main]35[/FONT][FONT=MathJax_Main],[/FONT][FONT=MathJax_Main]24[/FONT][FONT=MathJax_Main],[/FONT][FONT=MathJax_Main]27[/FONT][FONT=MathJax_Main],[/FONT][FONT=MathJax_Main]22[/FONT][FONT=MathJax_Main],[/FONT][FONT=MathJax_Main]22[/FONT]​
Click to expand...

sum of the data points given = S

number of datapoints given = n

suppose the additional data point = x

Then

New sum of the data points = S + x

New number of datapoints = n + 1

New average (given) → M = (S+x)/(n+1) .......................... (1)

In (1) you know all the numbers - except 'x'. Solve for it........
 
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