QQuestionMathematics
QuestionMathematics
Jacob is practicing the 100 -meter dash. The data shows his times in seconds:
14, 13, 13.5, 16, 14, 15.5, 14.5
Which box plot shows the distribution of the data?
What is the interquartile range (IQR) for Jacob's data set?
Jacob's IQR = _______ seconds
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Answer
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Step 1:I'll solve this step by step using the guidelines you specified:
Step 2:: Order the data from least to greatest
13, 13.5, 14, 14.5, 15.5, 16
Step 3:: Find the median
- Median = $$14
- With 7 data points, the median is the 4th value
Step 4:: Find Q^1 (first quartile)
- Q1 = $$13.5
- Q^1 is the median of the lower half of the data
Step 5:: Find Q^3 (third quartile)
- Q3 = $$15.5
- Q^3 is the median of the upper half of the data
Step 6:: Calculate the Interquartile Range (IQR)
- $$IQR = 15.5 - 13.5 = 2
- IQR = Q^3 - Q^1
Final Answer
Jacob's IQR = 2 seconds
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