Respuesta :
Second data set 22, 16, 18, 36 is the most spread from its mean
What is Mean?
" Mean is defined as the ratio of the sum of the all the numbers of data set to the total numbers of number present in data set."
Formula used
Mean = [tex]\frac{Sum of all the numbers in data set}{Total number of numbers}[/tex]
According to the question,
Given data set,
- 14,26, 24, 28
- 22, 16, 18, 36
- 22, 28, 20, 22
- 21, 19, 27, 25
Mean of first data set,
Substitute the values in the formula we get,
Mean = [tex]\frac{14 +26 + 24 + 28}{4}[/tex]
[tex]=\frac{92}{4}\\ =23[/tex]
Mean of second data set,
Substitute the values in the formula we get,
Mean = [tex]\frac{22 +16 + 18 + 36}{4}[/tex]
[tex]=\frac{92}{4}\\ =23[/tex]
Mean of third data set,
Substitute the values in the formula we get,
Mean = [tex]\frac{22 +28 + 20 + 22}{4}[/tex]
[tex]=\frac{92}{4}\\ =23[/tex]
Mean of fourth data set,
Substitute the values in the formula we get,
Mean = [tex]\frac{21 +19 + 27+ 25}{4}[/tex]
[tex]=\frac{92}{4}\\ =23[/tex]
Hence, second data set 22, 16, 18, 36 is the most spread from its mean.
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