Question

Sweets are packed into bags with a nominal mass of 75g. Ten bags are picked at random from
the production line and weighed .Their masses, in grams are 65, 67, 45, 89, 45, 36, 86.3, 34.5
Use your calculator to find the mean mass and the standard deviation.

Answer 1

Answer on Question #76974 – Math – Statistics and Probability

Question

Sweets are packed into bags with a nominal mass of 75g. Ten bags are picked at random from the production line and weighed. Their masses, in grams are 65, 67, 45, 89, 45, 36, 86.3, 34.5. Use your calculator to find the mean mass and the standard deviation.

Solution

$$\text{Mean} = \frac{65 + 67 + 45 + 89 + 45 + 36 + 86.3 + 34.5}{8} = 58.475\,\text{g} \cong 58.5\,\text{g}$$ $$\text{Standard deviation} = \sqrt{\frac{(65)^2 + (67)^2 + (45)^2 + (89)^2 + (45)^2 + (36)^2 + (86.3)^2 + (34.5)^2}{8} - 58.475^2} = 21.200\,\text{...g} \cong 21.2\,\text{g}$$

Answer

There is a mistake in the description of the problem. Only eight masses are given. Use your calculator ($n = 8$) to check that $\sum x = 467.8$, $\bar{x} = 58.475$, $\sum x^2 = 30618.94$, and $s = 21.200$ ...

Answer provided by https://www.AssignmentExpert.com