The box and whisker plot below shows the numbers of text messages received and one day by students in the 7th and 8th grade at Lincoln Middle School. A. Where do the two sets of data overlap? B. Find the iqr of each set. C. Find the difference between the medians of the two sets. D. What number multiplied by the iqr equals the difference between the medians of the two sets?
There is no box and whisker plot provided in the question.
I'm sorry, but you haven't provided the actual box and whisker plot. Could you please provide the data or describe the plot in detail so that I can help you answer the questions?
To answer these questions, let's analyze the box and whisker plot.
A. Where do the two sets of data overlap?
To determine the overlap, we need to look at the intersection of the two box plots. The "box" section of a box plot represents the middle 50% of the data, and any overlap between the two boxes indicates where the data from both sets coincide. Please check the plot again and identify the overlapping region.
B. Find the IQR (Interquartile Range) of each set.
The IQR is a measure of the spread or dispersion of the data. To calculate the IQR for each set of data, follow these steps:
1. Locate the lower quartile (Q1) and upper quartile (Q3) on each box plot.
2. Subtract Q1 from Q3 to find the IQR.
Repeat these steps separately for the 7th-grade data and 8th-grade data.
C. Find the difference between the medians of the two sets.
The median is the middle value of a data set when it is ordered from least to greatest. To find the difference between the medians of the two sets, subtract the median of the 7th-grade data from the median of the 8th-grade data.
D. What number multiplied by the IQR equals the difference between the medians of the two sets?
To determine this number, divide the difference between the medians of the two sets by the IQR of either set. This will give you the scaling factor that, when multiplied by the IQR, yields the difference between the medians.