the box plot below represents some data set. what percentage of the data values are between 110 and 170?
the box plot below represents some data set. what percentage of the data values are between 110 and 170?
Answer
Explanation:
Step1: Recall box - plot properties
In a box - plot, the box represents the inter - quartile range (IQR). The lower quartile ($Q_1$) is at the left - hand side of the box and the upper quartile ($Q_3$) is at the right - hand side of the box. The median is the line inside the box. The whiskers extend to the minimum and maximum values within 1.5 * IQR of the quartiles. The entire data set is divided into four equal parts by the quartiles, with 25% of the data in each part.
Step2: Identify quartile positions
Assume that 110 is $Q_1$ and 170 is $Q_3$. The inter - quartile range contains the middle 50% of the data.
Answer:
50%