Question

a boxplot helps to visualize the variability of a distribution. five statistics form a boxplot, often referred to as the five - number summary for the distribution. how much of the data is between the first and third quartiles?
a. 75% of the data is between the first and third quartiles
b. 50% of the data is between the first and third quartiles
c. 25% of the data is between the first and third quartiles
d. 66% of the data is between the first and third quartiles
please select the best answer from the choices provided

Explanation:

The first quartile ($Q_1$) represents the 25th percentile of the data, and the third quartile ($Q_3$) represents the 75th percentile of the data. The inter - quartile range (IQR) is $Q_3 - Q_1$. The proportion of data between $Q_1$ and $Q_3$ is calculated as $75\% - 25\%=50\%$.

Answer:

B. 50% of the data is between the first and third quartiles