How do I figure out how to do b,c,d?
The box and whisker plot shows the number of text messages received in one day by students in seventh and eighth grade at Lincoln Middle School.
a) Describe the overlap of the two sets of data.
b) Find the IQR of each set.
c) Find the difference between the medians of the sets.
d) What number multiplied by the IQR equals the difference between the medians of the two sets?
To figure out how to do parts b, c, and d, let's break down each question and explain the necessary steps to get the answers.
a) To describe the overlap of the two sets of data, you would need to examine the box and whisker plot provided. Look for any areas where the whiskers or boxes overlap. Overlapping portions indicate that some values or data points are shared between the two sets. You can describe the overlap as the range where the two sets have common data.
b) To find the interquartile range (IQR) of each set, you need to identify the first quartile (Q1) and the third quartile (Q3). The IQR is then calculated by subtracting Q1 from Q3.
- To find Q1, locate the bottom of the box in the box and whisker plot, which represents the first quartile.
- To find Q3, locate the top of the box in the box and whisker plot, which represents the third quartile.
- Calculate the IQR by subtracting Q1 from Q3.
Repeat this process for each set of data to determine the IQR of each set.
c) To find the difference between the medians of the sets, you need to identify the median of each set and subtract one from the other.
- Locate the line within the box in each box and whisker plot, which represents the median for each set of data.
- Subtract the median of one set from the median of the other set to find the difference.
d) To find the number multiplied by the IQR that equals the difference between the medians of the two sets, you need to set up an equation and solve for it.
- Let's say you want to find the number x that, when multiplied by the IQR of one set, equals the difference between the medians. You can write this as: x * IQR = difference between medians.
- Rearrange the equation to solve for x: x = (difference between medians) / IQR.
Plug in the values you found for the difference between the medians and the IQR, and solve for x. This will give you the number that, when multiplied by the IQR, equals the difference between the medians of the two sets of data.