QUESTION IMAGE
Question
suna recorded her daily expenses for a week as follows: $32.50, $35.75, $33.75, $36.00, $34.50, $35.00, and $36.75. using the data provided, create a box plot to represent biancas daily expenses for the week. 31 32 33 34 35 36 37 31 32 33 34 35 36 37 31 32 33 34 35 36 37 31 32 33 34 35 36 37
Step1: Order the data
First, order Bianca's daily expenses: $32.50, $33.75, $34.50, $35.00, $35.75, $36.00, $36.75$.
Step2: Find the median
The median (Q2) of 7 - data points is the 4th - ordered value. So, Q2 = $35.00$.
Step3: Find Q1 and Q3
The lower half of the data is $32.50, $33.75, $34.50$. The median of the lower half (Q1) is $33.75$. The upper half of the data is $35.75, $36.00, $36.75$. The median of the upper half (Q3) is $36.00$.
Step4: Identify the minimum and maximum
The minimum value is $32.50$ and the maximum value is $36.75$.
Step5: Analyze box - plot features
In a box - plot, the box starts at Q1, ends at Q3, has a line at Q2. The whiskers extend to the minimum and maximum.
The correct box - plot should have the box starting around $33.75$, ending around $36.00$, with a line inside the box at $35.00$, and whiskers going down to $32.50$ and up to $36.75$.
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(Without seeing the actual options clearly labeled, it's hard to give a letter - based answer. But conceptually, the box - plot with the box from approximately $33.75$ to $36.00$, a middle line at $35.00$, and whiskers to $32.50$ and $36.75$ is the correct one.)