We appreciate your visit to 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. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
First, add the counts from each day over the two weeks. For Week 1, the counts are:
[tex]$$31, \; 36, \; 24, \; 34, \; 45, \; 27, \; 41$$[/tex]
Their sum 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]
Their sum is:
[tex]$$16 + 34 + 20 + 18 + 25 + 38 + 31 = 182.$$[/tex]
Now, add these two sums to get the total number of birds seen over the two weeks:
[tex]$$238 + 182 = 420.$$[/tex]
Since Olivia recorded her counts for [tex]$7$[/tex] days each week, the total number of days is:
[tex]$$7 \times 2 = 14.$$[/tex]
The mean number of birds per day is then calculated by dividing the total number of birds by the total number of days:
[tex]$$\text{Mean} = \frac{420}{14} = 30.$$[/tex]
Rounding to the nearest bird (if necessary) gives [tex]$30$[/tex].
Thus, the best answer is:
[tex]$$\boxed{30}.$$[/tex]
[tex]$$31, \; 36, \; 24, \; 34, \; 45, \; 27, \; 41$$[/tex]
Their sum 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]
Their sum is:
[tex]$$16 + 34 + 20 + 18 + 25 + 38 + 31 = 182.$$[/tex]
Now, add these two sums to get the total number of birds seen over the two weeks:
[tex]$$238 + 182 = 420.$$[/tex]
Since Olivia recorded her counts for [tex]$7$[/tex] days each week, the total number of days is:
[tex]$$7 \times 2 = 14.$$[/tex]
The mean number of birds per day is then calculated by dividing the total number of birds by the total number of days:
[tex]$$\text{Mean} = \frac{420}{14} = 30.$$[/tex]
Rounding to the nearest bird (if necessary) gives [tex]$30$[/tex].
Thus, the best answer is:
[tex]$$\boxed{30}.$$[/tex]
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