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QuestionStatistics
"What is the interquartile range of this set of data?
15, 19, 20, 25, 31, 38, 41
A. 6
B. 13
C. 19
D. 26"
12 months agoReport content
Answer
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Step 1:I'll solve this step-by-step using the specified LaTeX formatting guidelines:
Step 2:: Order the data from least to greatest
\{15, 19, 20, 25, 31, 38, 41\}
Step 3:: Find the median (Q2)
Q_{2} = 25
With 7 numbers, the median is the 4th number
Step 4:: Find the first quartile (Q1)
Q_{1} = 19
The first quartile is the median of the lower half of the data
Step 5:: Find the third quartile (Q3)
Q_{3} = 38
The third quartile is the median of the upper half of the data
Step 6:: Calculate the Interquartile Range (IQR)
\text{IQR} = Q_{3} - Q_{1} = 38 - 19 = 19
Final Answer
C. 19
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