Question

carson has 9 tomato plants. he counts the number of tomatoes on each plant. the data he collects a listed below from least to greatest. make a box plot to show carsons data. start by finding the median of the data. 0 2 2 2 5 6 6 7 7 median = 5 tomatoes next, find the lower quartile, q1, and upper quartile, q3. q1 = tomatoes q3 =? tomatoes

Explanation:

Step1: Find the lower quartile (Q1)

Q1 is the median of the lower half of the data. The lower half of the data \(0,2,2,2\) has \(n = 4\) values.
For \(n = 4\) (even), the median is \(\frac{2+2}{2}=2\).

Step2: Find the upper quartile (Q3)

Q3 is the median of the upper half of the data. The upper half of the data \(6,6,7,7\) has \(n = 4\) values.
For \(n = 4\) (even), the median is \(\frac{6 + 7}{2}=6.5\).

Answer:

Q1 = \(2\) tomatoes, Q3 = \(6.5\) tomatoes