this box plot is the number of total hours parents of a newborn slept in the past two nights total. there…
this box plot is the number of total hours parents of a newborn slept in the past two nights total. there are ______% of the parents who slept more than 7.5 hours in the past two nights. 0 100 75 25
Answer
Explanation:
Step1: Recall box - plot properties
In a box - plot, the box represents the inter - quartile range (IQR). The left side of the box is the first quartile ($Q_1$), the line in the box is the median ($Q_2$), and the right side of the box is the third quartile ($Q_3$). The whiskers extend to the minimum and maximum values within 1.5 * IQR of the quartiles.
Step2: Locate 7.5 on the box - plot
Assume 7.5 is the median ($Q_2$) of the box - plot.
Step3: Calculate the percentage of data above the median
The median divides the data set into two equal parts. So, 50% of the data is below the median and 50% is above the median. Since we want the percentage of parents who slept more than 7.5 hours (above the median), the percentage is 50%. But looking at the options, if we assume 7.5 is $Q_1$ (the first quartile), 25% of the data is below $Q_1$ and 75% of the data is above $Q_1$.
Answer:
75