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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 every morning before she leaves for school. Her data for two weeks can be seen below.

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

Answer :

To find the mean number of little birds Olivia sees each morning, we need to perform a few simple calculations. Let's break it down step by step:

1. Collect the data: Olivia has counted the number of birds she sees over two weeks. Here is the data:

- Week 1:
- Sunday: 31 birds
- Monday: 36 birds
- Tuesday: 24 birds
- Wednesday: 34 birds
- Thursday: 45 birds
- Friday: 27 birds
- Saturday: 41 birds

- Week 2:
- Sunday: 16 birds
- Monday: 34 birds
- Tuesday: 20 birds
- Wednesday: 18 birds
- Thursday: 25 birds
- Friday: 38 birds
- Saturday: 31 birds

2. Add all the numbers together: Combine the bird counts from both weeks.

Total birds = 31 + 36 + 24 + 34 + 45 + 27 + 41 + 16 + 34 + 20 + 18 + 25 + 38 + 31

3. Calculate the sum: Let's find the sum of all these numbers:

Total birds seen = 420

4. Count the total number of days: Olivia recorded her observations for 14 days (7 days per week for 2 weeks).

5. Calculate the mean: Divide the total number of birds by the number of days:

Mean = Total birds / Total days

Mean = 420 / 14

Mean = 30

6. Round if necessary: In this case, the mean is already a whole number, so rounding is not needed.

Therefore, the mean number of little birds Olivia sees each morning is 30.

Correct answer: c. 30

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