use the display of data to find the standard deviation.\nthe standard deviation is \n(type an integer or…

Explanation:

Step1: Identify data - values and frequencies

From the bar - chart, the data value $x = 9$ has frequency $f=9$. There is only one non - zero frequency value, so $n=\sum f = 9$. The mean $\mu$ of a single data value with frequency $n$ is just the data value itself, so $\mu = 9$.

Step2: Calculate the squared - deviation

The formula for the squared - deviation $(x_i-\mu)^2$ for our single data value $x = 9$ and $\mu = 9$ is $(9 - 9)^2=0$.

Step3: Calculate the variance

The formula for the variance $s^2=\frac{\sum_{i = 1}^{k}f_i(x_i-\mu)^2}{n - 1}$. Since $(x - \mu)^2=0$ and $f = 9$, then $s^2=\frac{9\times(9 - 9)^2}{9 - 1}=\frac{9\times0}{8}=0$.

Step4: Calculate the standard deviation

The standard deviation $s=\sqrt{s^2}$. Since $s^2 = 0$, then $s = 0$.

Answer:

$0.00$