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

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

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