Question

cora got a new pedometer. it keeps track of how many steps she walks each day. steps walked 7,773 8,454 5,500 9,000 7,316 8,546 8,227 6,684 which box plot represents the data? steps walked steps walked

Explanation:

Step1: Arrange data in ascending order

$5500,6684,7316,7773,8227,8454,8546,9000$

Step2: Find the minimum value

The minimum value is $5500$.

Step3: Find the first - quartile ($Q_1$)

Since $n = 8$ (even), the position of $Q_1$ is $\frac{n + 1}{4}=2.25$. So $Q_1=6684+(7316 - 6684)\times0.25=6684 + 158=6842$.

Step4: Find the median ($Q_2$)

The median is the average of the 4th and 5th values. $\frac{7773+8227}{2}=8000$.

Step5: Find the third - quartile ($Q_3$)

The position of $Q_3$ is $\frac{3(n + 1)}{4}=6.75$. So $Q_3=8454+(8546 - 8454)\times0.75=8454+69 = 8523$.

Step6: Find the maximum value

The maximum value is $9000$.

The box - plot should have the minimum value at $5500$, $Q_1$ at approximately $6842$, the median at $8000$, $Q_3$ at approximately $8523$ and the maximum at $9000$.

Answer:

We need to check which box - plot has the minimum at $5500$, $Q_1$ around $6842$, median at $8000$, $Q_3$ around $8523$ and maximum at $9000$. Without the actual options clearly labeled, we can't give a specific choice, but the correct box - plot should have these characteristics for the given data set.