Question

section 3.3 homework score: 2/8 answered: 2/8 question 3 here is a frequency - distribution table for a small data set: data value frequency 11 7 12 2 13 5 14 3 15 6 find the mean ($\bar{x}$) = (please show your answer to one decimal)

Explanation:

Step1: Calculate the sum of the products of data values and their frequencies

\[

$$\begin{align*} &(11\times7)+(12\times2)+(13\times5)+(14\times3)+(15\times6)\\ =&77 + 24+65 + 42+90\\ =&298 \end{align*}$$

\]

Step2: Calculate the total frequency

\[7 + 2+5 + 3+6=23\]

Step3: Calculate the mean

The formula for the mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_if_i}{\sum_{i = 1}^{n}f_i}$, where $x_i$ are data - values and $f_i$ are their frequencies. So $\bar{x}=\frac{298}{23}\approx12.9565\approx13.0$

Answer:

$13.0$