find the mean of the data set shown in the table below\ndata set f\n37\n124\n38\n119\n142

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, $n = 5$, $x_1=37$, $x_2 = 124$, $x_3=38$, $x_4=119$, $x_5=142$.

Step2: Calculate the sum of data points

$\sum_{i=1}^{5}x_i=37 + 124+38+119+142=(37 + 124)+38+(119 + 142)=161+38 + 261=460$.

Step3: Calculate the mean

$\bar{x}=\frac{\sum_{i = 1}^{5}x_i}{5}=\frac{460}{5}=92$.

Answer:

92