Chapter A, Problem 1PE

To determine

The mean of the given group of data item.

Answer to Problem 1PE

Solution:

The mean of the given group of data item is $\frac{33}{8}$ .

Explanation of Solution

Given:

The given data items are: $7,4,3,2,8,5,1,3.$

Concept Used:Mean:

Mean is the average of a given set of numbers. The average of the given set of numbers can be found by adding all the given numbers together and dividing by the total number of numbers.

Mathematically, the mean of the data points $x_1,x_2,x_3,\mathrm{.....}{x}_n$ can be given as

  $\overline{x}=\frac{x_1+x_2+x_3+\mathrm{...}+x_n}{n}$

Calculations:

The given data items are: $7,4,3,2,8,5,1,3.$

Now using the above concept, the mean of the given data sets can be given as follows:

  $\begin{array}{l}\text{Mean}=\frac{7+4+3+2+8+5+1+3}{8}(\text{Here}n=8)\\ \Rightarrow \text{Mean}=\frac{33}{8}\text{(Add the numbers in the numerator)}\end{array}$

The mean of the given group of data item is $\frac{33}{8}$ .

Conclusion:

The mean of the given group of data item is $\frac{33}{8}$ .