gwen volunteers in her schools lunchroom. for the past two weeks, she kept track of how many sixth - grade…

gwen volunteers in her schools lunchroom. for the past two weeks, she kept track of how many sixth - grade students bought lunch each day. number of students who buy lunch 44 68 63 56 90 40 70 57 50 80 which box plot represents the data? number of students who buy lunch 40 50 60 70 80 90 number of students who buy lunch 40 50 60 70 80 90

gwen volunteers in her schools lunchroom. for the past two weeks, she kept track of how many sixth - grade students bought lunch each day. number of students who buy lunch 44 68 63 56 90 40 70 57 50 80 which box plot represents the data? number of students who buy lunch 40 50 60 70 80 90 number of students who buy lunch 40 50 60 70 80 90

Answer

Explanation:

Step1: Arrange data in ascending order

$40,44,50,56,57,63,68,70,80,90$

Step2: Find the median (Q2)

Since $n = 10$ (even), $Q2=\frac{57 + 63}{2}=60$

Step3: Find the lower - half data

$40,44,50,56,57$. The median of lower - half (Q1) is $50$.

Step4: Find the upper - half data

$63,68,70,80,90$. The median of upper - half (Q3) is $70$.

Step5: Identify the minimum and maximum

Minimum is $40$, maximum is $90$.

Answer:

The box - plot with minimum at 40, Q1 at 50, Q2 at 60, Q3 at 70 and maximum at 90. (Based on the description of the box - plots in the problem, the correct one can be visually selected among the given options using these values).