bianca recorded her daily expenses for a week as follows: $32.50, $35.75, $33.75, $36.00, $34.50, $35.00…

bianca 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.

bianca 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.

Answer

Explanation:

Step1: Order the data

First, order the daily - expense data: $32.50,33.75,34.50,35.00,35.75,36.00,36.75$.

Step2: Find the minimum and maximum

The minimum value is $32.50$ and the maximum value is $36.75$.

Step3: Calculate the median

Since there are $n = 7$ data points, the median (second - quartile $Q_2$) is the $\left(\frac{n + 1}{2}\right)$-th value. $\frac{7+1}{2}=4$, so $Q_2=35.00$.

Step4: Calculate the lower quartile

The lower half of the data is $32.50,33.75,34.50$. The median of the lower half (first - quartile $Q_1$) is the $\left(\frac{3 + 1}{2}\right)$-th value, which is $33.75$.

Step5: Calculate the upper quartile

The upper half of the data is $35.75,36.00,36.75$. The median of the upper half (third - quartile $Q_3$) is the $\left(\frac{3+1}{2}\right)$-th value, which is $36.00$.

Step6: Draw the box - plot

Draw a number line that includes the range from $32.50$ to $36.75$. Draw a box from $Q_1 = 33.75$ to $Q_3=36.00$ with a line inside the box at $Q_2 = 35.00$. Draw whiskers from the box to the minimum ($32.50$) and maximum ($36.75$) values.

However, since we are not actually drawing but just analyzing the given box - plot options (not shown in text but assumed to be the four visual box - plots), we can say that the correct box - plot should have these characteristics: The left - hand side of the box at $33.75$, the right - hand side of the box at $36.00$, the line in the box at $35.00$, and whiskers extending to $32.50$ and $36.75$.

Since no options are given for selection in text, we can't provide a final answer among given choices. But if we were to create a box - plot from scratch, the key values are: Minimum: $32.50$ $Q_1$: $33.75$ Median ($Q_2$): $35.00$ $Q_3$: $36.00$ Maximum: $36.75$

If we assume the box - plots are labeled as A, B, C, D etc. and we had to choose one based on the above calculations, we would look for the one that matches these quartile and extreme values.

Answer:

No answer can be provided as no options are given.