Question

question the box plot below represents some data set. approximately what percentage of the data values are greater than 60? answer attempt 2 out of 2

Explanation:

Step1: Recall box - plot properties

In a box - plot, the box represents the inter - quartile range (IQR), from the first quartile ($Q_1$) to the third quartile ($Q_3$). The median is the line inside the box. The whiskers extend to the minimum and maximum non - outlier values. The entire data set is divided into four equal parts (quartiles), each representing 25% of the data.

Step2: Locate 60 on the number line

We see that 60 is to the left of the first quartile ($Q_1$) which is approximately at 75 (estimated from the box - plot).

Step3: Calculate the percentage of data greater than 60

Since the data less than $Q_1$ is 25% of the data, the data greater than 60 (which is less than $Q_1$) is approximately 75% of the data.

Answer:

75%