The mean = 126 and standard deviation = 10.12
A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.
The data set given is 141 , 116 , 117 , 135, 126 , 121
The mean of a set of numbers is the sum divided by the number of terms.
x' = (141+116+117+135+126+121)/6
x' =756/6
x' = 126
Set up the formula for standard deviation. The standard deviation of a set of values is a measure of the spread of its values.
[tex]\rm \sigma =\sqrt{ \dfrac{(x-x')^{2}}{n-1}[/tex]
Substituting the values
[tex]\rm \sigma = \\[/tex] (16 √10) /5
= 10.12
Therefore mean = 126 and standard deviation = 10.12
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