The chart shows the number of rabbits a farmer observed on his farm over a period of nine weeks. Find the third quartile of the data set.
15
20
18
22
The chart shows the number of rabbits a farmer observed on his farm over a period of nine weeks. Find the third quartile of the data set
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To find the third quartile (Q3) of the data set, follow these steps:
1. Arrange the Data: First, sort the numbers in ascending order:
15, 18, 20, 22.
2. Find the Median (Q2): The median is the middle value. Since there are four data points, the median is the average of the two middle numbers:
( Q2 = frac{18 + 20}{2} = 19 ).
3. Find Q3: Q3 is the median of the upper half of the data. The upper half is 20 and 22.
( Q3 = frac{20 + 22}{2} = 21 ).
Thus, the third quartile (Q3) of the data set is 21.
This means that 75% of the observations are below 21. If you have more questions or need further assistance, feel free to ask or check the extended services page!