Question

when we add the data value 33 to the original set a, the data values in this new data set can be defined as $x_1$, $x_2$, $x_3$, $x_4$, $x_5$ and 33. there are now six data values in the set, so $n =$. we can now find the mean for the new data set, rounding the final result to two decimal places. recall that we previously determined that $x_1 + x_2 + x_3 + x_4 + x_5 = 35$. $\bar{x}_{new}=\frac{sum x}{n}=\frac{x_1 + x_2 + x_3 + x_4 + x_5+33}{}=\frac{35 + 33}{}=$

Explanation:

Step1: Determine the number of data - points

Since there are six data values ($x_1,x_2,x_3,x_4,x_5$ and 33), $n = 6$.

Step2: Substitute into the mean formula

The formula for the mean $\bar{x}=\frac{\sum x}{n}$. We know that $x_1 + x_2+x_3+x_4+x_5 = 35$ and we are adding 33 to the sum. So $\sum x=35 + 33=68$.

Step3: Calculate the mean

$\bar{x}=\frac{68}{6}\approx11.33$.

Answer:

11.33