Question

find the mean the median demo the range and standard devitation of each set 33, 37, 20, 27, 35, 29, 31, 20, 22, 21; +7

Answer 1

We have the following:

we calculate the new values

`\begin{gathered} 33+7=40 \\ 37+7=44 \\ 20+7=27 \\ 27+7=34 \\ 35+7=42 \\ 29+7=36 \\ 31+7=38 \\ 20+7=27 \\ 22+7=29 \\ 21+7=28 \end{gathered}`

now, the mean is:

`(40+44+27+34+42+36+38+27+29+28)/(10)=34.5`

the median:

`\begin{gathered} 27,27,28,29,34,36,38,40,42,44 \\ m=(34+36)/(2)=35 \end{gathered}`

the mode is

`27`

the range is:

`44-27=17`

the standard deviation is:

`\begin{gathered} s=\sqrt[]{(\Sigma(x_i)^2)/(n)-\bar{x^2_i}} \\ s=\sqrt[]{\frac{40^2+44^2+27^2+34^2+42^2+36^2+38^2+27^2+29^2+28^2^{}}{10}-34.5^2} \\ s=6.14 \end{gathered}`