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ivolga24 [154]
3 years ago
13

Jon loves to go bird watching at a nearby animal sanctuary. Find the mean of the following numbers of birds he spotted at the sa

nctuary in the last few days.
14,10,17,11,9,15,6,14
Mathematics
1 answer:
DIA [1.3K]3 years ago
6 0

Answer:

Mean = 12

Step-by-step explanation:

The arithmetic mean of a distribution is the sum of the number of samples in the distribution divided by the number of samples in the dataset. It is a measure of central tendency. The mean is represented as follows:

\bar x = \frac{\sum x}{n} \\where\\\bar x = mean\\\sum x = sum\ of\ individual\ terms\\n = number\ of\ terms\\\therefore \bar x = \frac{14\ +\ 10\ +\ 17\ +\ 11\ +\ 9\ +\ 15\ +\ 6\ +\ 14}{8}\\\bar x = \frac{96}{8} \\\bar x = 12

Mean = 12

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The <em>correct answer</em> is:

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keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

\begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\qquad \qquad y = \stackrel{\stackrel{m}{\downarrow }}{3}x-5

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\stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{3\implies \cfrac{3}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{3}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{3}}}

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