The box-and-whisker plot below represents some data set. What percentage of the data values are less than or equal to 85?
To determine the percentage of data values that are less than or equal to 85, we first need to identify the data values that fall within the box-and-whisker plot.
In a box-and-whisker plot, the box represents the middle 50% of the data, with the lower and upper boundaries of the box representing the 25th and 75th percentiles (Q1 and Q3). The whiskers extend from the box to the minimum and maximum data values within 1.5 times the interquartile range (IQR).
If the lower boundary of the box is less than or equal to 85, then we can count all the data values within the box that are less than or equal to 85. Depending on the specifics of the plot, we may also need to consider the whiskers if they extend past the boundary.
Once we have identified the data values that are less than or equal to 85, we can calculate the percentage by dividing this count by the total number of data values in the set and multiplying by 100.
Without the specific plot or data set information, it is difficult to provide an exact percentage.