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Answer :
First, we add the number of birds observed in each week.
For Week 1, the counts are:
[tex]$$
31,\ 36,\ 24,\ 34,\ 45,\ 27,\ 41.
$$[/tex]
The sum for Week 1 is:
[tex]$$
31+36+24+34+45+27+41=238.
$$[/tex]
For Week 2, the counts are:
[tex]$$
16,\ 34,\ 20,\ 18,\ 25,\ 38,\ 31.
$$[/tex]
The sum for Week 2 is:
[tex]$$
16+34+20+18+25+38+31=182.
$$[/tex]
Next, we combine the totals over the two weeks:
[tex]$$
\text{Total birds} = 238 + 182 = 420.
$$[/tex]
Since there are 2 weeks with 7 days each, the total number of days is:
[tex]$$
7+7=14.
$$[/tex]
The mean (average) number of birds per day is then calculated by dividing the total by the number of days:
[tex]$$
\text{Mean} = \frac{420}{14}=30.
$$[/tex]
Rounding to the nearest bird (if necessary) still gives [tex]$30$[/tex].
Thus, the mean of the number of little birds that Olivia sees each morning is [tex]$\boxed{30}$[/tex].
For Week 1, the counts are:
[tex]$$
31,\ 36,\ 24,\ 34,\ 45,\ 27,\ 41.
$$[/tex]
The sum for Week 1 is:
[tex]$$
31+36+24+34+45+27+41=238.
$$[/tex]
For Week 2, the counts are:
[tex]$$
16,\ 34,\ 20,\ 18,\ 25,\ 38,\ 31.
$$[/tex]
The sum for Week 2 is:
[tex]$$
16+34+20+18+25+38+31=182.
$$[/tex]
Next, we combine the totals over the two weeks:
[tex]$$
\text{Total birds} = 238 + 182 = 420.
$$[/tex]
Since there are 2 weeks with 7 days each, the total number of days is:
[tex]$$
7+7=14.
$$[/tex]
The mean (average) number of birds per day is then calculated by dividing the total by the number of days:
[tex]$$
\text{Mean} = \frac{420}{14}=30.
$$[/tex]
Rounding to the nearest bird (if necessary) still gives [tex]$30$[/tex].
Thus, the mean of the number of little birds that Olivia sees each morning is [tex]$\boxed{30}$[/tex].
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