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Olivia enjoys watching little birds at the many feeders in her yard. She counts how many of them she can see in her yard every morning before she leaves for school. Her data for two weeks is shown below.

[tex]
\[
\begin{tabular}{|c|r|r|r|r|r|r|r|}
\hline
Day & \multicolumn{1}{|c|}{Sun} & Mon & Tue & Wed & Thu & Fri & Sat \\
\hline
Week 1 & 31 & 36 & 24 & 34 & 45 & 27 & 41 \\
\hline
Week 2 & 16 & 34 & 20 & 18 & 25 & 38 & 31 \\
\hline
\end{tabular}
\]
[/tex]

What is the mean of the number of little birds that Olivia sees in her yard each morning? Round to the nearest bird, if necessary.

A. 34
B. 31
C. 30
D. 26

Please select the best answer from the choices provided.

Answer :

First, we need to add the number of birds seen over the two weeks. The counts for Week 1 are:

[tex]$$31, \; 36, \; 24, \; 34, \; 45, \; 27, \; 41.$$[/tex]

Adding these together:

[tex]$$31 + 36 + 24 + 34 + 45 + 27 + 41 = 238.$$[/tex]

The counts for Week 2 are:

[tex]$$16, \; 34, \; 20, \; 18, \; 25, \; 38, \; 31.$$[/tex]

Adding these:

[tex]$$16 + 34 + 20 + 18 + 25 + 38 + 31 = 182.$$[/tex]

Next, add the totals from both weeks to find the overall number of birds:

[tex]$$238 + 182 = 420.$$[/tex]

Since the observations are recorded over 14 days (7 days per week), we calculate the mean number of birds by dividing the total number of birds by the number of days:

[tex]$$\text{Mean} = \frac{420}{14} = 30.$$[/tex]

Thus, after rounding to the nearest bird (if necessary), Olivia sees on average [tex]$\boxed{30}$[/tex] little birds each morning.

Comparing to the choices provided, the correct answer is option c.

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