Respuesta :

We have the following:

we calculate the new values

[tex]\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}[/tex]

now, the mean is:

[tex]\frac{40+44+27+34+42+36+38+27+29+28}{10}=34.5[/tex]

the median:

[tex]\begin{gathered} 27,27,28,29,34,36,38,40,42,44 \\ m=\frac{34+36}{2}=35 \end{gathered}[/tex]

the mode is

[tex]27[/tex]

the range is:

[tex]44-27=17[/tex]

the standard deviation is:

[tex]\begin{gathered} s=\sqrt[]{\frac{\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}[/tex]