Question

emmetts party supply store is known for their long - lasting helium balloons. emmett kept track of the number of balloons in each order he received yesterday.
number of balloons ordered
30 60 25 90 40 20 60 75 35 40
which box plot represents the data?

Explanation:

Step1: Order the data

$20,25,30,35,40,40,60,60,75,90$

Step2: Find the median (Q2)

There are 10 data - points. The median is the average of the 5th and 6th ordered values. So, $Q2=\frac{40 + 40}{2}=40$.

Step3: Find the lower half and Q1

The lower half is $20,25,30,35,40$. The median of the lower half (Q1) is 30.

Step4: Find the upper half and Q3

The upper half is $40,60,60,75,90$. The median of the upper half (Q3) is 60.

Step5: Identify the minimum and maximum

The minimum is 20 and the maximum is 90.
The box - plot should have a box from 30 (Q1) to 60 (Q3) with a line at 40 (Q2) inside the box, and whiskers from 20 (minimum) to 90 (maximum).

Answer:

The first box - plot (where the box starts at 30, ends at 60, has a line inside the box at 40, and whiskers go from 20 to 90) represents the data.