Question

question 8
find the weighted mean. round your answer to the nearest tenth.
deliveries each week frequency
5 3
10 1
15 7
20 2
weighted mean =
check answer

Explanation:

Step1: Calculate the product of each value and its frequency

For \(5\) with frequency \(3\): \(5\times3 = 15\)
For \(10\) with frequency \(1\): \(10\times1=10\)
For \(15\) with frequency \(7\): \(15\times7 = 105\)
For \(20\) with frequency \(2\): \(20\times2=40\)

Step2: Sum up the products and the frequencies

Sum of products: \(15 + 10+105 + 40=170\)
Sum of frequencies: \(3 + 1+7 + 2=13\)

Step3: Calculate the weighted mean

Weighted mean formula is \(\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}w_{i}}{\sum_{i = 1}^{n}w_{i}}\), so \(\bar{x}=\frac{170}{13}\approx13.1\)

Answer:

\(13.1\)