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Answer :
To find the mean number of birds Olivia sees each morning, we start by calculating the total number of birds observed over the two weeks, and then divide by the total number of days.
First, sum the counts from Week 1:
[tex]$$
31 + 36 + 24 + 34 + 45 + 27 + 41 = 238.
$$[/tex]
Next, sum the counts from Week 2:
[tex]$$
16 + 34 + 20 + 18 + 25 + 38 + 31 = 182.
$$[/tex]
Now, find the total number of birds over the two weeks:
[tex]$$
238 + 182 = 420.
$$[/tex]
There are 7 days in each week, so the total number of mornings (days) is:
[tex]$$
7 + 7 = 14.
$$[/tex]
To calculate the mean:
[tex]$$
\text{Mean} = \frac{\text{Total number of birds}}{\text{Total number of days}} = \frac{420}{14} = 30.
$$[/tex]
Since the mean is already a whole number, there is no need for further rounding.
Thus, the mean of the number of little birds that Olivia sees each morning is [tex]$\boxed{30}$[/tex], which corresponds to answer choice (c).
First, sum the counts from Week 1:
[tex]$$
31 + 36 + 24 + 34 + 45 + 27 + 41 = 238.
$$[/tex]
Next, sum the counts from Week 2:
[tex]$$
16 + 34 + 20 + 18 + 25 + 38 + 31 = 182.
$$[/tex]
Now, find the total number of birds over the two weeks:
[tex]$$
238 + 182 = 420.
$$[/tex]
There are 7 days in each week, so the total number of mornings (days) is:
[tex]$$
7 + 7 = 14.
$$[/tex]
To calculate the mean:
[tex]$$
\text{Mean} = \frac{\text{Total number of birds}}{\text{Total number of days}} = \frac{420}{14} = 30.
$$[/tex]
Since the mean is already a whole number, there is no need for further rounding.
Thus, the mean of the number of little birds that Olivia sees each morning is [tex]$\boxed{30}$[/tex], which corresponds to answer choice (c).
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