Respuesta :
Answer:
Hence, standard deviation is: 6.87
Step-by-step explanation:
We are given the data as:
14 23 31 29 33
The mean of the data is calculated as the ratio of the sum of all the data points divided by the total number of data points.
Hence,
[tex]Mean(M)=\dfrac{14+23+31+29+33}{5}\\\\Mean(M)=\dfrac{130}{5}\\\\Mean(M)=26[/tex]
Now we find the difference between mean and each data entry.
14-26 23-26 31-26 29-26 33-26
-12 -3 5 3 7
Now squaring these numbers to get:
144 9 25 9 49
Now, finding the mean we get the variance(V) as:
[tex]V=\dfrac{144+9+25+9+49}{5}\\\\\\V=\dfrac{236}{5}\\\\\\V=47.2[/tex]
Now, standard deviation is defined as the square root of the variance.
Hence standard deviation is:
[tex]\sqrt{47.2}=6.87[/tex]
Hence, standard deviation is: 6.87
