select the correct answer from each drop - down menu. ten students compared the amount (in dollars) they…

select the correct answer from each drop - down menu. ten students compared the amount (in dollars) they spent on books each week. the box plot shows the results. the median amount they spent each week is $40. the difference of the first and third quartiles of the data set is

select the correct answer from each drop - down menu. ten students compared the amount (in dollars) they spent on books each week. the box plot shows the results. the median amount they spent each week is $40. the difference of the first and third quartiles of the data set is

Answer

Explanation:

Step1: Identify first and third quartiles

In a box - plot, the left - hand side of the box is the first quartile ($Q_1$) and the right - hand side of the box is the third quartile ($Q_3$). From the box - plot, $Q_1 = 20$ and $Q_3=35$.

Step2: Calculate the inter - quartile range

The inter - quartile range (IQR), which is the difference between the third and first quartiles, is given by $IQR=Q_3 - Q_1$. Substitute $Q_1 = 20$ and $Q_3 = 35$ into the formula: $IQR=35 - 20=15$.

Answer:

$15$