some teenagers collected trash for a beach cleanup. the data for the number of pounds of trash collected by…

Explanation:

Step1: Calculate the mean

The mean $\bar{x}=\frac{26 + 26+21+22+20+25+35}{7}=\frac{175}{7}=25$.

Step2: Calculate the squared - differences

$(26 - 25)^2=1$, $(26 - 25)^2=1$, $(21 - 25)^2 = 16$, $(22 - 25)^2=9$, $(20 - 25)^2 = 25$, $(25 - 25)^2=0$, $(35 - 25)^2 = 100$.

Step3: Calculate the variance

The variance $s^{2}=\frac{1+1+16+9+25+0+100}{7}=\frac{152}{7}\approx21.71$.

Step4: Calculate the standard deviation

The standard deviation $s=\sqrt{\frac{152}{7}}\approx4.66$.

Answer:

4.66 pounds