Answer:
[tex]x=99[/tex]
Step-by-step explanation:
We have been given a data 99,86,76,95,x
And mean =91
we have a formula for mean as below:
[tex]mean=\frac{\text{sum of observations}}{\text{number of observations}}[/tex]
Here number of observations we have are 5
So, substituting values in the formula we get
[tex]91=\frac{99+86+76+95+x}{5}[/tex]
[tex]\Rigfhtarrow 91=\frac{356+x}{5}[/tex]
[tex]\Rigfhtarrow 455=356+x[/tex]
[tex]\Rigfhtarrow x=99[/tex]
The value of x will be 99 for the mean 91 and the data set 99, 86, 76, 95 x
Mean is defined as the average of the given values it is the ratio of the sum of all the data sets to the number of the data sets.
Given data set is:
99, 86, 76, 95 x
The mean of the given data set is:
[tex]\rm Mean = \dfrac{sum \ of \ data}{Number}=91[/tex]
[tex]91=\dfrac{ 99+86+ 76+ 95+x}{5}[/tex]
[tex]x=99[/tex]
Hence the value of x will be 99 for the mean 91 and the data set 99, 86, 76, 95 x
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