Question

students in a jewelry - making club store their beads in 2 containers. each container has 100 beads of different colors. the box plots show the number of yellow beads found in random samples of 50 beads from each container. based on the data sets, can the students expect more yellow beads in container a or container b? about how many more? the students can expect that container has about more yellow beads.

Explanation:

Step1: Find the median of each box - plot

The median of a box - plot represents the middle value of the data set. For Container A, the median is \(12\) (since the line inside the box of Container A's box - plot is at \(12\)). For Container B, the median is \(24\) (since the line inside the box of Container B's box - plot is at \(24\)).

Step2: Calculate the difference in medians

The formula for the difference in medians is \(M_B - M_A\), where \(M_B\) is the median of Container B and \(M_A\) is the median of Container A.

$$M_B - M_A=24 - 12$$

$$M_B - M_A = 12$$

Since each sample is of \(50\) beads and each container has \(100\) beads (\(100\div50 = 2\) times the sample size).
The difference in the number of yellow beads in the whole containers is \(2\times12=24\)

Answer:

The students can expect that Container B has about \(24\) more yellow beads.