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?

Explanation:

Step1: Arrange data in ascending order

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

Step2: Find the median (Q2)

Since there are 8 data - points, the median is the average of the 4th and 5th ordered values. $\text{Q2}=\frac{7773 + 8227}{2}=8000$

Step3: Find the lower half of data

The lower half is $5500,6684,7316,7773$. The median of the lower half (Q1) is $\frac{6684+7316}{2}=7000$

Step4: Find the upper half of data

The upper half is $8227,8454,8546,9000$. The median of the upper half (Q3) is $\frac{8454 + 8546}{2}=8500$

Step5: Identify the minimum and maximum

The minimum value is $5500$ and the maximum value is $9000$

The box - plot should have a minimum at $5500$, Q1 at $7000$, Q2 at $8000$, Q3 at $8500$, and a maximum at $9000$.

Answer:

The box - plot that has the left - most whisker at 5500, the left side of the box at 7000, the line inside the box at 8000, the right side of the box at 8500, and the right - most whisker at 9000. (Without seeing the full options, this is the description of the correct box - plot based on the data analysis).