a market research firm is conducting a telephone survey, and one of the questions asked is the respondents…
a market research firm is conducting a telephone survey, and one of the questions asked is the respondents age. when the firm surveyed 6 people in washington county, the responses were: 52 52 56 53 53 58 what was the mean of the respondents ages?
Answer
Explanation:
Step1: Recall mean formula
The mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$, where $x_{i}$ are the data - points and $n$ is the number of data - points. Here $n = 6$, and $x_1=52,x_2 = 52,x_3=56,x_4=53,x_5=53,x_6=58$.
Step2: Calculate the sum of the data - points
$\sum_{i = 1}^{6}x_{i}=52 + 52+56+53+53+58=324$.
Step3: Calculate the mean
$\bar{x}=\frac{324}{6}=54$.
Answer:
54