coach rivers recorded the number of points each player on the basketball team scored in their first few…

coach rivers recorded the number of points each player on the basketball team scored in their first few games.\npoints scored\n11 4 6 15 21 19 0 19 25\nwhich box plot represents the data?\npoints scored\n0 10 20 30 40 50\npoints scored\n0 10 20 30 40 50
Answer
Explanation:
Step1: Arrange data in ascending order
$0,4,6,11,15,19,19,21,25$
Step2: Find the median (Q2)
There are 9 data - points. The median is the 5th value. So, $Q2 = 15$.
Step3: Find the lower half of data
The lower half is $0,4,6,11$. The median of the lower half (Q1) is the average of the 2nd and 3rd values. So, $Q1=\frac{4 + 6}{2}=5$.
Step4: Find the upper half of data
The upper half is $19,19,21,25$. The median of the upper half (Q3) is the average of the 2nd and 3rd values. So, $Q3=\frac{19+21}{2}=20$.
Step5: Identify the minimum and maximum
The minimum value is $0$ and the maximum value is $25$.
A box - plot has a box from Q1 to Q3 with a line at Q2 inside the box, and whiskers from the box to the minimum and maximum values. The box should start at $5$, end at $20$ with a line at $15$ inside the box, and whiskers going to $0$ and $25$.
Answer:
We need to visually check which of the given box - plots has a box starting at 5, ending at 20, a line at 15 inside the box, and whiskers at 0 and 25. Without the actual visual selection of which box - plot is correct among the given ones (since no options are labeled), the steps to construct the correct box - plot are as above. If we assume we are choosing between two given box - plots based on the above calculations, we would pick the one that matches the described characteristics of Q1 = 5, Q2 = 15, Q3 = 20, minimum = 0, and maximum = 25.