Question

for the following set of numbers, find (a) the mean and (b) the weighted mean. 4 6 11 15 21 33 a. find the mean of these values assuming they are each weighted equally. the mean is (round to two decimal places as needed.)

Explanation:

Step1: Recall the mean formula

The mean $\bar{x}$ of a set of data $x_1,x_2,\cdots,x_n$ with equal - weights is $\bar{x}=\frac{\sum_{i = 1}^{n}x_i}{n}$, where $n$ is the number of data points and $\sum_{i=1}^{n}x_i$ is the sum of the data points.

Step2: Identify the number of data points and sum them

The data set is $4,6,11,15,21,33$. Here $n = 6$.
$\sum_{i=1}^{6}x_i=4 + 6+11+15+21+33=90$.

Step3: Calculate the mean

$\bar{x}=\frac{\sum_{i = 1}^{n}x_i}{n}=\frac{90}{6}=15.00$.

Answer:

$15.00$