Sample:
19, 22, 26, 27, 30 , 32, 35, 35
The mean is given by the following formula:
[tex]\mu=\frac{\Sigma X_i}{n}[/tex]Where n is the size if the sample, in this case n=8.
Replacing the values:
[tex]\mu=\frac{19+22+26+27+30+32+35+35}{8}=28.25\approx28.3[/tex]The mean is 28.3.
Median:
To find the median of the sample we are going to find the values that are in the middle of the sample, in this case:
27 and 30 are the data. Therefore, the median is:
[tex]Median=\frac{27+30}{2}=28.5[/tex]The median is: 28.5.
Mode:
The mode is the value that occurs most frequently in the sample, in this case:
The mode is 35.
Standard desviation:
The standar desviation is given by the following formula:
[tex]\sigma=\sqrt[\placeholder{⬚}]{\frac{\Sigma(X_i-\mu)^2}{n}}[/tex]Where, mu is the mean=28.3, n the size of the sample=8 and Xi each value of the sample. Replacing:
[tex]\sigma=\sqrt{\frac{(19-28.3)^2+(22-28.3)^2+(26-28.3)^2+(27-28.3)^2+(30-28.3)^2+(32-28.3)^2+2*(35-28.3)^2}{8}}[/tex]The standar desviation is: 5.47, approximately=5.5.
