Question

diet cola preference a recent survey of a new diet cola reported the following percentages of people who liked the taste. find the weighted mean of the percentages. round the percentage to one decimal place as needed.
area | % favored | number surveyed
1 | 50 | 2500
2 | 20 | 3100
3 | 70 | 1300
send data to excel
the weighted mean is %.

Explanation:

Step1: Calculate weighted sum

Multiply each % Favored by Number surveyed and sum.
$50\times2500 + 20\times3100 + 70\times1300$
$= 125000 + 62000 + 91000$
$= 278000$

Step2: Calculate total surveyed

Sum the Number surveyed.
$2500 + 3100 + 1300 = 6900$

Step3: Find weighted mean

Divide weighted sum by total surveyed.
$\frac{278000}{6900} \approx 40.3$

Answer:

40.3