Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

question the box plot below represents some data set. what percentage o…

Question

question
the box plot below represents some data set. what percentage of the data values are greater than 130?

Explanation:

Step1: Recall box - plot properties

In a box - plot, the box represents the inter - quartile range (IQR). The left edge of the box is the first quartile ($Q_1$), the line inside the box is the median ($Q_2$), and the right edge of the box is the third quartile ($Q_3$). The whiskers extend to the minimum and maximum non - outlier values. Here, assume the box starts at $Q_1$, the line in the box is $Q_2$, and the end of the box is $Q_3$. Since 130 is approximately at the median ($Q_2$) position.

Step2: Use quartile percentages

The median divides the data set into two halves. 50% of the data lies below the median and 50% of the data lies above the median.

Answer:

50%