Question

mr. wills keeps markers in two boxes. each box has 80 markers of different colors. the box plots show the number of blue markers found in random samples of 20 markers from each box. based on the data sets, can mr. wills expect more blue markers in box a or box b? about how many more? mr. wills can expect that box has about more blue

Explanation:

Step1: Find the median of each box - plot

The median is the middle - value of the data set. For a box - plot, the line inside the box represents the median.
For Box A: The median of the sample (sample size \(n = 20\)) is \(12\).
For Box B: The median of the sample (sample size \(n=20\)) is \(8\).

Step2: Calculate the expected number of blue markers in each box

We use the formula \(\text{Expected number}=\frac{\text{Median of sample}}{\text{Sample size}}\times\text{Total number of markers in the box}\).
The total number of markers in each box \(N = 80\).
For Box A: \(\frac{12}{20}\times80=\frac{12\times80}{20}=48\)
For Box B: \(\frac{8}{20}\times80=\frac{8\times80}{20}=32\)

Step3: Find the difference

The difference in the number of blue markers is \(48 - 32=16\)

Answer:

Mr. Wills can expect that Box A has about \(16\) more blue markers.