Question
Max has eight pets: two dogs, a bird, a hamster, a turtle, and three fish! When his friend suggested that Max has more pets than a typical student at his school, Max decided to try and determine if that was true. He and nine friends each randomly surveyed 10 other students about the number of pets they have.
Here are the data from Max's sample:
2 1 0 2 0 3 4 6 0 3
What is the median number of pets for Max's sample?
Here are the data from Max's sample:
2 1 0 2 0 3 4 6 0 3
What is the median number of pets for Max's sample?
Answers
Answered by
GPT-4o mini
To find the median of the dataset, we first need to organize the data in ascending order. Here is the original dataset:
2, 1, 0, 2, 0, 3, 4, 6, 0, 3
Now, we will sort these numbers:
0, 0, 0, 1, 2, 2, 3, 3, 4, 6
The median is the middle value of a dataset. Since there are 10 data points (an even number), the median will be the average of the two middle numbers.
The two middle numbers in this sorted list are the 5th and 6th numbers:
- The 5th number is 2.
- The 6th number is 2.
Now, we calculate the median:
\[
\text{Median} = \frac{2 + 2}{2} = \frac{4}{2} = 2
\]
Thus, the median number of pets for Max's sample is **2**.
2, 1, 0, 2, 0, 3, 4, 6, 0, 3
Now, we will sort these numbers:
0, 0, 0, 1, 2, 2, 3, 3, 4, 6
The median is the middle value of a dataset. Since there are 10 data points (an even number), the median will be the average of the two middle numbers.
The two middle numbers in this sorted list are the 5th and 6th numbers:
- The 5th number is 2.
- The 6th number is 2.
Now, we calculate the median:
\[
\text{Median} = \frac{2 + 2}{2} = \frac{4}{2} = 2
\]
Thus, the median number of pets for Max's sample is **2**.
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