a simple random sample of 10 people were asked how many first cousins they have. the results are listed…
a simple random sample of 10 people were asked how many first cousins they have. the results are listed below. 10, 19, 20, 13, 13, 2, 10, 8, 25, 10 what is the mean number of first cousins for this sample? 10 11.5 13 13.5
Answer
Explanation:
Step1: Recall mean formula
The mean $\bar{x}$ of a data - set $x_1,x_2,\cdots,x_n$ is given by $\bar{x}=\frac{\sum_{i = 1}^{n}x_i}{n}$, where $n$ is the number of data points and $\sum_{i=1}^{n}x_i$ is the sum of the data points. Here $n = 10$, and the data set is $x_1 = 10,x_2=19,x_3 = 20,x_4 = 13,x_5 = 13,x_6 = 2,x_7 = 10,x_8 = 8,x_9 = 25,x_{10}=10$.
Step2: Calculate the sum
$\sum_{i = 1}^{10}x_i=10 + 19+20+13+13+2+10+8+25+10=130$.
Step3: Calculate the mean
$\bar{x}=\frac{\sum_{i = 1}^{10}x_i}{10}=\frac{130}{10}=13$.
Answer:
13