Question 7 • CARE_24_25_TX-Mathematical Models with Applications B
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?
Answer
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
Explanation
The first quartile (Q1) marks the 25th percentile, and the third quartile (Q3) marks the 75th percentile. The data between them therefore covers 75% − 25% = 50% of the distribution. The correct choice is “50% of the data is between the first and third quartiles.”
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