Question

6. Find the mean of the data =
2/3,5/3,1/3,5/6,1/6​

Answer 1

Mean of the data is 18.33.

Step-by-step explanation:

We are given the following data below ;

2/3, 5/3, 1/3, 5/6, 1/6​

Now, as we know that formula for finding mean for any discrete data is given by;

                              Mean, $\bar X$  =  $\frac{\sum X}{n}$

where, $\sum X$  = Sum of all the observations in data

                n  = number of observations

Here, the obs. are :  $\frac{2}{3} ,\frac{5}{3} ,\frac{1}{3} ,\frac{5}{6} ,\frac{1}{6}$

Firstly, we will try to make the denominator same for all the given fraction values, that is;

                       $\frac{2}{3} = \frac{2 \times 2}{3 \times 2} =\frac{4}{6}$

                       $\frac{5}{3} = \frac{5 \times 2}{3 \times 2} =\frac{10}{6}$    

                       $\frac{1}{3} = \frac{1 \times 2}{3 \times 2} =\frac{2}{6}$

                       $\frac{5}{6} = \frac{5 \times 1}{6 \times 1} =\frac{5}{6}$

                       $\frac{1}{6} = \frac{1 \times 1}{6 \times 1} =\frac{1}{6}$

Now, Mean of the data, $\bar X$  =  $\frac{\frac{4}{6}+\frac{10}{6}+\frac{2}{6}+\frac{5}{6}+\frac{1}{6} }{5}$

                                             =  $\frac{22}{6}\times 5$  =  18.33

Hence, the mean of the given data is 18.33.

Answer 2

above one is correct thanks