Question

median and the mode.
Medications are essential expenses. DeWitt has
composed a price list of antibiotics available at
ifferent pharmacies in his neighborhood. In
eviewing his list, he can't find the number of
harmacies selling the antibiotics for $8. Examine
me frequency distribution for the prices. Write an
pression for the mean.

Price Frequency
$4.10 3
$4.85 2
$8.00 x
$12.00 1
$12.50 2

Answer 1

$\boxed{\bold{\green{\frac{59+8x}{8+x}}}}$

Answer:

Solution Given:

The expression of the mean = $\frac{sum \:\:of \:\:price*frequency} {sum\:\: of \:\:frequency}$

=$\frac{4.10*3+4.85*2+8*x+12*1+12.5*2}{3+2+x+1+2}$

=$\boxed{\bold{\green{\frac{59+8x}{8+x}}}}$ is a required expression.

Answer 2

Answer:

$\overline{x}=\dfrac{59+8x}{8+x}$

Step-by-step explanation:

Mean:  The sum of all data values divided by the total number of data values.

Create a frequency table with the given information.  

Label Price as "x" and Frequency as "f".  

Add an "fx" column and enter the values of f multiplied by x.  

Add a "Total" row and enter the total frequency and total fx.

$\begin{array}{|c|c|c|}\cline{1-3}\sf Price & \sf Frequency &\\x & f & fx\\\cline{1-3} 4.10 & 3 & 12.3 \\\cline{1-3} 4.85 & 2 & 9.7 \\\cline{1-3} 8.00 & x & 8x \\\cline{1-3} 12.00 & 1 & 12 \\\cline{1-3} 12.50 & 2 & 25 \\\cline{1-3} \sf Total & 8+x & 59+8x\\\cline{1-3}\end{array}$

The formula for the mean is:

$\boxed{\text{Mean}= \overline{x} = \dfrac{\displaystyle \sum fx}{\displaystyle \sum f}}$

where:

• x = data value
• f = frequency of each x

The Sigma sign means "sum".

Substitute the totals into the formula to create an expression for the mean:

$\implies \overline{x}=\dfrac{59+8x}{8+x}$